Logistic function

Time bar (total: 11.1s)

analyze38.0ms (0.3%)

Memory
-10.2MiB live, 108.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.2s (10.4%)

Memory
-108.2MiB live, 1 755.9MiB allocated
Samples
896.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 726.0ms
ival-neg: 308.0ms (42.4% of total)
ival-div: 117.0ms (16.1% of total)
const: 112.0ms (15.4% of total)
ival-exp: 62.0ms (8.5% of total)
ival-<=: 53.0ms (7.3% of total)
ival-add: 49.0ms (6.7% of total)
ival-and: 11.0ms (1.5% of total)
exact: 10.0ms (1.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess32.0ms (0.3%)

Memory
0.4MiB live, 43.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))

explain96.0ms (0.9%)

Memory
3.7MiB live, 174.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
05(0.0034741628915071487 3.335228393552825e-5)0-(exp.f32 (/.f32 (neg.f32 x) s))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(/.f32 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))sensitivity51
Confusion
Predicted +Predicted -
+00
-5251
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-51250
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
36.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.5% of total)
ival-exp: 4.0ms (23.7% of total)
ival-neg: 3.0ms (17.8% of total)
ival-add: 2.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

Memory
-28.5MiB live, 9.4MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (/.f32 x (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 x)
x
s

localize23.0ms (0.2%)

Memory
3.7MiB live, 42.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(exp.f32 (/.f32 (neg.f32 x) s))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Samples
15.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (45.1% of total)
ival-exp: 2.0ms (22.6% of total)
ival-add: 1.0ms (11.3% of total)
ival-neg: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))>
#<alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))>
#<alt (exp.f32 (/.f32 (neg.f32 x) s))>
#<alt (/.f32 (neg.f32 x) s)>
#<alt (neg.f32 x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x 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))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) 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)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

27 calls:

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

simplify634.0ms (5.7%)

Memory
8.9MiB live, 910.4MiB allocated
Algorithm
1×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
0140758
1378748
21147742
33893722
08438682
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -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))))))
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 (* 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 (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 (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 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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 (* 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))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -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 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
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 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #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 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (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)) (* 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 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 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) 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 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #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 #s(literal 1/2 binary32) (/.f32 x s) #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 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 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)))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 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 #s(literal 1/2 binary32) (/.f32 x s) #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 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
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 #s(literal 1/2 binary32) (/.f32 x s) #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 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)

rewrite376.0ms (3.4%)

Memory
4.0MiB live, 514.1MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×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
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(+.f32 (/.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 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (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 -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (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 (neg.f32 x) x) s)))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 #s(literal 1 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 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))))) #s(literal -1 binary32)) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal -1 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32)) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
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eval105.0ms (0.9%)

Memory
19.8MiB live, 169.2MiB allocated
Compiler

Compiled 21 187 to 2 699 computations (87.3% saved)

prune127.0ms (1.1%)

Memory
-5.4MiB live, 247.9MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New80612818
Fresh000
Picked011
Done000
Total80613819
Accuracy
100.0%
Counts
819 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.9%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶54.4%
(/.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))))
57.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
▶44.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶56.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
47.1%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
66.1%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
25.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
32.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
▶38.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 445 to 276 computations (38% saved)

simplify273.0ms (2.5%)

Memory
22.5MiB live, 414.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
✓cost-diff64
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
✓cost-diff64
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
✓cost-diff320
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓cost-diff0
#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)))
✓cost-diff0
(/.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))))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
✓cost-diff0
(E.f32)
✓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))))
✓cost-diff32
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
Rules
10 580×lower-fma.f64
10 574×lower-fma.f32
2 394×lower-*.f64
2 388×lower-*.f32
1 352×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038330
063312
1102312
2177312
3287305
4458305
5740305
61562305
73476305
85111302
96930302
107968302
08024287
Stop Event
1×iter limit
1×node limit
1×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) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 (*.f32 x (*.f32 x x)) s)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
s
#s(literal -1/6 binary32)
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 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 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(exp.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) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 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 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
#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)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)
(*.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
(*.f32 x (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(*.f32 (/.f32 (*.f32 x x) s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(/.f32 (*.f32 x (*.f32 x x)) s)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
s
#s(literal -1/6 binary32)
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
#s(literal 1/2 binary32)

localize154.0ms (1.4%)

Memory
-41.9MiB live, 260.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy94.0%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy92.6%
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
✓accuracy87.2%
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓accuracy57.1%
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
✓accuracy99.7%
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓accuracy99.7%
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓accuracy54.4%
#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)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓accuracy43.6%
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy38.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
✓accuracy100.0%
(E.f32)
✓accuracy99.9%
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
Samples
93.0ms256×0valid
Compiler

Compiled 256 to 34 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-pow: 21.0ms (27.6% of total)
ival-sub: 17.0ms (22.3% of total)
ival-div: 11.0ms (14.4% of total)
ival-mult: 9.0ms (11.8% of total)
ival-add: 7.0ms (9.2% of total)
const: 4.0ms (5.3% of total)
ival-e: 3.0ms (3.9% of total)
ival-exp: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-10.9MiB live, 64.4MiB allocated
Counts
20 → 456
Calls
Call 1
Inputs
#<alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))>
#<alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))>
#<alt (E.f32)>
#<alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))>
#<alt (-.f32 #s(literal 2 binary32) (/.f32 x s))>
#<alt (/.f32 x s)>
#<alt (/.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))))>
#<alt #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)))>
#<alt (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))>
#<alt (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))>
#<alt (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))>
#<alt (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))>
#<alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))>
#<alt (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)>
#<alt (/.f32 (*.f32 x (*.f32 x x)) s)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 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))))))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 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)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (+ 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)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 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)))>
#<alt (- (+ 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))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 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)))>
#<alt (+ 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)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 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))))))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 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))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 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)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x 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))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) 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)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x 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))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) 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)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (/ x s))>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x 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))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) 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)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (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))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<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))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x 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))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) 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)))>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (* 1/2 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ x s))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* 1/2 (/ x s))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
Calls

114 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
2.0ms
x
@inf
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
1.0ms
s
@-inf
(pow (E) (/ (neg x) s))
1.0ms
x
@0
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
1.0ms
s
@0
(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))

simplify450.0ms (4%)

Memory
17.3MiB live, 850.6MiB allocated
Algorithm
1×egg-herbie
Rules
15 822×lower-fma.f64
15 822×lower-fma.f32
4 146×lower-*.f64
4 146×lower-*.f32
3 906×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03995077
112664191
239034093
083213894
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
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))))))))
(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)))
(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)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
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
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) 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)))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+ 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)))))
(/ 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 (+ 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 (+ 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)))))
1/2
(+ 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))))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 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
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 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 (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))))
(+ 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))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
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))))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) 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)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -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))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -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))))))
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 (* 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 (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 (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 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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 s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 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 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) 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 (* 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 (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 (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 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -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))
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)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 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))))
(* -1/6 (/ (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))))))
(* -1/6 (/ (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))))))
(* -1/6 (/ (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 (- (* 2 s) x))))) (pow s 3))
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 (* -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 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -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))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
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 (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 (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 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(+ 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))))))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #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))))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 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 x) (/.f32 #s(literal -1/2 binary32) s) 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 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 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)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
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(fma.f32 x (/.f32 #s(literal 2 binary32) x) (/.f32 x (neg.f32 s)))
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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(-.f32 #s(literal 2 binary32) (/.f32 x 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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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) 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)))
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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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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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2
#s(literal 2 binary32)
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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2
#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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2
#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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#s(literal 1/2 binary32)
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#s(literal -1 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x x) s)) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x x) s)) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x x) s)) #s(literal 1/6 binary32))) (neg.f32 s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))

rewrite367.0ms (3.3%)

Memory
32.1MiB live, 787.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 326×lower-*.f64
5 320×lower-*.f32
3 688×lower-fma.f64
3 682×lower-fma.f32
3 372×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038268
063254
1269251
22139251
08455251
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 622
Calls
Call 1
Inputs
(pow.f32 (E.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))))
(+.f32 #s(literal 1 binary32) (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) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 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)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
Outputs
(exp.f32 (/.f32 x (neg.f32 s)))
(exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(exp.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(exp.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (E.f32) (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 2 binary32)))
(exp.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))) (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (E.f32) (/.f32 x (neg.f32 s)))
(pow.f32 (E.f32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (E.f32) (*.f32 (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))) #s(literal 2 binary32)))
(pow.f32 (E.f32) (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 2 binary32)))
(pow.f32 (E.f32) (fma.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(pow.f32 (E.f32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (E.f32) (fma.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))) (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (/.f32 x (neg.f32 s))))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 2 binary32)))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 2 binary32)))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (sqrt.f32 (E.f32)) (+.f32 (/.f32 x (neg.f32 s)) (/.f32 x (neg.f32 s))))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (E.f32) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (E.f32) x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (E.f32) x) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (pow.f32 (E.f32) x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (neg.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (pow.f32 (E.f32) (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (exp.f32 x) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 (pow.f32 (E.f32) (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 x s)))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 x s)))
(*.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(*.f32 (exp.f32 (/.f32 x (neg.f32 s))) (pow.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(*.f32 (exp.f32 (/.f32 x (neg.f32 s))) (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(*.f32 (pow.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (/.f32 x (neg.f32 s))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(*.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (/.f32 x (neg.f32 s))))
(*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32)))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(*.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(*.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 2 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))) #s(literal -1 binary32))
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(pow.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
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(-.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal -1 binary32))))
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32) #s(literal -1 binary32))) (neg.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal -1 binary32))) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)))
(*.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))))
(exp.f32 (neg.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))) #s(literal -1 binary32))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))))
(/.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))) #s(literal 1 binary32))
(/.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))) #s(literal -1 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(*.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))) #s(literal 1 binary32))
(neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (neg.f32 s)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))))
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)
(/.f32 (neg.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (neg.f32 s))
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (*.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s)))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 s (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(/.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) #s(literal 1 binary32)) s)
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s))) s))
(/.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s))))
(/.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (fma.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s)))))
(*.f32 (pow.f32 (/.f32 s (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s)))
(neg.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 x (*.f32 x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(*.f32 (*.f32 x x) (/.f32 x s))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 x x) s) x)

eval111.0ms (1%)

Memory
6.9MiB live, 320.6MiB allocated
Compiler

Compiled 30 509 to 2 931 computations (90.4% saved)

prune131.0ms (1.2%)

Memory
-18.9MiB live, 375.7MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1 144201 164
Fresh347
Picked145
Done011
Total1 148291 177
Accuracy
100.0%
Counts
1 177 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
58.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))))
✓54.4%
(/.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))))
52.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) #s(literal 2 binary32))))
▶57.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
44.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
57.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
33.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal -2 binary32)))))
✓44.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
44.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
▶57.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
51.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
57.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)))) s))))
20.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
31.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
34.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
30.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))))
31.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
31.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
33.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))))
47.1%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
66.1%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶32.9%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
▶25.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓38.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 065 to 641 computations (39.8% saved)

simplify260.0ms (2.3%)

Memory
-17.4MiB live, 517.7MiB allocated
Algorithm
1×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) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
✓cost-diff64
(-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x)
✓cost-diff160
(fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))
✓cost-diff320
(fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
✓cost-diff0
(/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)
✓cost-diff0
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))
✓cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
✓cost-diff0
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓cost-diff0
(/.f32 #s(literal 1/4 binary32) s)
✓cost-diff0
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
✓cost-diff0
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
✓cost-diff0
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
✓cost-diff64
(*.f32 #s(literal 2 binary32) (neg.f32 s))
✓cost-diff160
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
Rules
7 486×lower-fma.f64
7 474×lower-fma.f32
3 566×lower-*.f64
3 546×lower-*.f32
1 670×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064618
0107580
1184564
2347560
3732534
41326533
52476531
63905531
76283531
08331509
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(*.f32 (E.f32) (sqrt.f32 (E.f32)))
(E.f32)
(sqrt.f32 (E.f32))
(/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))
x
(*.f32 #s(literal 2 binary32) (neg.f32 s))
#s(literal 2 binary32)
(neg.f32 s)
s
(exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
x
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(*.f32 x x)
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
#s(literal -1/48 binary32)
(*.f32 s s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)
(-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x)
(/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s)
#s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s))))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))
#s(literal -1/6 binary32)
(*.f32 x (/.f32 (*.f32 x x) s))
x
(/.f32 (*.f32 x x) s)
(*.f32 x x)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) s)
s
(-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x)
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)
(fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
x
(/.f32 (*.f32 x x) s)
(*.f32 x x)
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) (exp.f32 (/.f32 x (*.f32 s #s(literal -4 binary32)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) (exp.f32 (/.f32 x (*.f32 s #s(literal -4 binary32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(*.f32 (E.f32) (sqrt.f32 (E.f32)))
(E.f32)
(sqrt.f32 (E.f32))
(/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
x
(*.f32 #s(literal 2 binary32) (neg.f32 s))
(*.f32 s #s(literal -2 binary32))
#s(literal 2 binary32)
(neg.f32 s)
s
(exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(exp.f32 (/.f32 x (*.f32 s #s(literal -4 binary32))))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(/.f32 x (*.f32 s #s(literal -4 binary32)))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
x
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(*.f32 x x)
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
#s(literal -1/48 binary32)
(*.f32 s s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s))))) s) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s))))) s) x) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s))))) s) x) s))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)
(/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s))))) s) x) s)
(-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x)
(-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s))))) s) x)
(/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s)
(/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s))))) s)
#s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s))))
#s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))
(*.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) s))))
#s(literal -1/6 binary32)
(*.f32 x (/.f32 (*.f32 x x) s))
x
(/.f32 (*.f32 x x) s)
(*.f32 x x)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) s)
s
(-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x)
(*.f32 x (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)
(*.f32 (/.f32 (*.f32 x x) s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
(*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 x #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
x
(/.f32 (*.f32 x x) s)
(*.f32 x x)
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(literal 2 binary32)

localize275.0ms (2.5%)

Memory
5.8MiB live, 606.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy92.6%
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)
✓accuracy92.2%
(/.f32 (*.f32 x x) s)
✓accuracy87.2%
(fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
✓accuracy57.1%
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
✓accuracy92.6%
(/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s)
✓accuracy92.2%
(/.f32 (*.f32 x x) s)
✓accuracy90.5%
#s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s))))
✓accuracy57.1%
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)))
✓accuracy99.8%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓accuracy98.9%
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
✓accuracy85.3%
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
✓accuracy30.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓accuracy100.0%
(/.f32 #s(literal 1/4 binary32) s)
✓accuracy99.6%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
✓accuracy32.9%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
✓accuracy99.9%
(pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
✓accuracy99.9%
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
✓accuracy99.8%
(exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
Samples
187.0ms256×0valid
Compiler

Compiled 442 to 63 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-div: 79.0ms (48% of total)
ival-mult: 42.0ms (25.5% of total)
ival-add: 11.0ms (6.7% of total)
ival-pow: 11.0ms (6.7% of total)
const: 8.0ms (4.9% of total)
ival-exp: 5.0ms (3% of total)
ival-sub: 3.0ms (1.8% of total)
ival-e: 2.0ms (1.2% of total)
ival-sqrt: 2.0ms (1.2% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
18.0MiB live, 177.8MiB allocated
Counts
27 → 612
Calls
Call 1
Inputs
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))>
#<alt (*.f32 #s(literal 2 binary32) (neg.f32 s))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))>
#<alt (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))>
#<alt #s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))>
#<alt (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))>
#<alt (/.f32 #s(literal 1/4 binary32) s)>
#<alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))>
#<alt (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))>
#<alt (/.f32 x s)>
#<alt (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)))>
#<alt (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))>
#<alt (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)>
#<alt (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))>
#<alt (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))>
#<alt (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x)>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))>
#<alt (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))>
#<alt (/.f32 #s(literal -1/48 binary32) (*.f32 s s))>
#<alt #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s))))>
#<alt (/.f32 (*.f32 x x) s)>
#<alt (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s)>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))>
#<alt (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)>
Outputs
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* x (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/32 (/ 1 (pow s 2))) (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (+ (* -1/8 (* (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (* 1/4 (- (+ (* -1/32 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 3))) (+ (* -1/48 (/ (pow (log (sqrt (pow (E) 3))) 3) (pow s 3))) (* -1/64 (/ (log (sqrt (pow (E) 3))) (pow s 3))))) (* 1/384 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))) (pow s 2)))) (* 1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)))>
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#<alt 1/2>
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#<alt 1/2>
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#<alt 1/2>
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#<alt (/ x s)>
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#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
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#<alt 1/4>
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#<alt 1/2>
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#<alt 2>
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#<alt 1/2>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt 2>
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#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
Calls

153 calls:

TimeVariablePointExpression
7.0ms
s
@inf
(+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)
6.0ms
x
@0
(/ 1 (+ (* (pow (* (E) (sqrt (E))) (/ x (* 2 (neg s)))) (exp (* 1/2 (/ x (* 2 (neg s)))))) 1))
3.0ms
s
@inf
(/ 1 (+ (* (pow (* (E) (sqrt (E))) (/ x (* 2 (neg s)))) (exp (* 1/2 (/ x (* 2 (neg s)))))) 1))
1.0ms
s
@-inf
(/ 1 (+ (* (pow (* (E) (sqrt (E))) (/ x (* 2 (neg s)))) (exp (* 1/2 (/ x (* 2 (neg s)))))) 1))
1.0ms
x
@inf
(/ 1 (+ (* (pow (* (E) (sqrt (E))) (/ x (* 2 (neg s)))) (exp (* 1/2 (/ x (* 2 (neg s)))))) 1))

simplify444.0ms (4%)

Memory
-11.2MiB live, 695.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 884×lower-fma.f64
10 884×lower-fma.f32
6 210×lower-*.f64
6 210×lower-*.f32
3 508×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06678310
120767624
271847394
080727012
Stop Event
1×iter limit
1×node limit
Counts
612 → 612
Calls
Call 1
Inputs
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
1/2
(+ 1/2 (* -1/4 (* x (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/32 (/ 1 (pow s 2))) (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (+ (* -1/8 (* (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (* 1/4 (- (+ (* -1/32 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 3))) (+ (* -1/48 (/ (pow (log (sqrt (pow (E) 3))) 3) (pow s 3))) (* -1/64 (/ (log (sqrt (pow (E) 3))) (pow s 3))))) (* 1/384 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
1/2
(+ 1/2 (* -1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))) (pow s 2)))) (* 1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) (+ (* -1/8 (pow (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))))) (+ (* -1/8 (* (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))) (* 1/4 (+ (* -1/32 (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 2))) (+ (* -1/48 (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 3))) (+ (* -1/64 (* (pow x 3) (log (sqrt (pow (E) 3))))) (* -1/384 (pow x 3)))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) 2) (pow s 2))) (+ (* 1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)) (* 1/4 (/ (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) 2) s)) (* 1/4 (/ (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))) s))) (* 1/4 (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (pow (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))) (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3))))))) s)) (+ (* -1/8 (/ (* (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))) (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3))))))) s)) (* 1/4 (/ (+ (* 1/384 (pow x 3)) (+ (* 1/64 (* (pow x 3) (log (sqrt (pow (E) 3))))) (+ (* 1/48 (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 3))) (* 1/32 (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 2)))))) s)))) (+ (* -1/8 (pow (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)))))))) s)) (* 1/4 (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))))) s)))
2
(+ 2 (* x (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))
(+ 2 (* x (- (+ (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* x (+ (* 1/32 (/ 1 (pow s 2))) (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))))))) (* 1/4 (/ 1 s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
2
(+ 2 (+ (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)) (* -1/4 (/ x s))))
(+ 2 (+ (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)) (+ (* -1/4 (/ x s)) (+ (* 1/32 (/ (pow x 2) (pow s 2))) (+ (* 1/8 (/ (* (pow x 2) (log (sqrt (pow (E) 3)))) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)) (pow s 2))))))))
(+ 2 (+ (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)) (+ (* -1/4 (/ x s)) (+ (* -1/32 (/ (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 2)) (pow s 3))) (+ (* -1/48 (/ (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 3)) (pow s 3))) (+ (* -1/64 (/ (* (pow x 3) (log (sqrt (pow (E) 3)))) (pow s 3))) (+ (* -1/384 (/ (pow x 3) (pow s 3))) (+ (* 1/32 (/ (pow x 2) (pow s 2))) (+ (* 1/8 (/ (* (pow x 2) (log (sqrt (pow (E) 3)))) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)) (pow s 2))))))))))))
2
(+ 2 (* -1 (/ (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) s)))
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(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/384 (pow x 3)) (+ (* 1/64 (* (pow x 3) (log (sqrt (pow (E) 3))))) (+ (* 1/48 (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 3))) (* 1/32 (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 2)))))) s)) (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)))))) s)) (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3))))))) 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)))))
(/ 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 (+ 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 (+ 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)))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
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(- (+ 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))))))
1/2
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1/2
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1/2
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1/2
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(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
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1/2
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1/2
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1/2
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(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
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(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) 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 (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 (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 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
Outputs
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/4 (* x (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))))
(fma.f32 #s(literal -1/4 binary32) (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))
(fma.f32 x (fma.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/32 binary32) (+.f32 (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s s)) (/.f32 (pow.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 2 binary32)) (*.f32 s s))) (/.f32 #s(literal 1/128 binary32) (*.f32 s s)))) (neg.f32 x) (*.f32 #s(literal -1/4 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)))) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/32 (/ 1 (pow s 2))) (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (+ (* -1/8 (* (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (* 1/4 (- (+ (* -1/32 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 3))) (+ (* -1/48 (/ (pow (log (sqrt (pow (E) 3))) 3) (pow s 3))) (* -1/64 (/ (log (sqrt (pow (E) 3))) (pow s 3))))) (* 1/384 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))
(fma.f32 x (fma.f32 #s(literal -1/4 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) (*.f32 x (neg.f32 (fma.f32 x (fma.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) (fma.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/32 binary32) (+.f32 (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s s)) (/.f32 (pow.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 2 binary32)) (*.f32 s s))) (/.f32 #s(literal 1/128 binary32) (*.f32 s s)))) (*.f32 #s(literal -1/8 binary32) (fma.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s s)) (/.f32 (pow.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 2 binary32)) (*.f32 s s))) (/.f32 #s(literal 1/32 binary32) (*.f32 s s))))) (*.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal -1/32 binary32) (/.f32 (pow.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 2 binary32)) (*.f32 s (*.f32 s s))) (fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) #s(literal 3 binary32)) (fma.f32 #s(literal -1/64 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/384 binary32) (*.f32 s (*.f32 s s)))))))) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/32 binary32) (+.f32 (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s s)) (/.f32 (pow.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 2 binary32)) (*.f32 s s))) (/.f32 #s(literal 1/128 binary32) (*.f32 s s)))))))) #s(literal 1/2 binary32))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))) (pow s 2)))) (* 1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal -1/4 binary32) x)) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal -1/4 binary32) x)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/32 binary32) (*.f32 (*.f32 x x) (+.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (pow.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 x x) #s(literal 1/128 binary32)))) (*.f32 s s))))
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1/2
#s(literal 1/2 binary32)
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2
#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s)
(* 1/2 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s)
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))
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 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 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)))))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) 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 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) 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 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s)
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/6 binary32))) (neg.f32 s))

rewrite374.0ms (3.4%)

Memory
12.8MiB live, 706.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 844×lower-*.f64
3 824×lower-*.f32
3 480×lower-pow.f64
3 478×lower-pow.f32
3 388×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064502
0107472
1448431
23376430
08139418
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 646
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(*.f32 #s(literal 2 binary32) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))
(/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)
(fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))
(-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
#s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s))))
(/.f32 (*.f32 x x) s)
(/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)
Outputs
(neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 2 binary32) s)))
(pow.f32 (/.f32 (*.f32 #s(literal -2 binary32) s) (*.f32 #s(literal 1/2 binary32) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal -1 binary32))
(pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -2 binary32) s) x)) #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -2 binary32) s) x))
(/.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) s)))
(/.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) s) (*.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -2 binary32) s) x)))
(/.f32 (neg.f32 x) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) s)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal -2 binary32) s))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (*.f32 #s(literal 2 binary32) s))
(/.f32 (neg.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal -2 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 x)) (*.f32 #s(literal 2 binary32) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) s))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) (neg.f32 s))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (neg.f32 s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))
(*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) #s(literal 1/2 binary32)))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) s)))
(*.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) #s(literal 2 binary32)))
(*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 1/2 binary32))
(*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))
(*.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 x s)))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/2 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 #s(literal 1/2 binary32) x))
(neg.f32 (*.f32 #s(literal 2 binary32) s))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) s))
(*.f32 #s(literal 2 binary32) (neg.f32 s))
(*.f32 (neg.f32 s) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) s))
(*.f32 #s(literal -2 binary32) s)
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))) (expm1.f32 (neg.f32 (/.f32 x s))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))) (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 x s)))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (*.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) (*.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (pow.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 3/2 binary32) (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32)))) (pow.f32 (*.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (E.f32)) (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s))) (exp.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (neg.f32 (/.f32 x s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (neg.f32 (/.f32 x s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (sqrt.f32 (E.f32)))) (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) (exp.f32 (*.f32 #s(literal 3/2 binary32) (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (+.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (+.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (+.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (+.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32)))) (/.f32 x (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 x (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (expm1.f32 (neg.f32 (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 x s)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 1 binary32))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal -1 binary32))
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(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (*.f32 s (fma.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (-.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 s (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) #s(literal 1 binary32)) s)
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (-.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))) s))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (-.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))) (neg.f32 s)))
(/.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s))
(/.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) #s(literal -1 binary32)) (*.f32 (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32)) (neg.f32 s))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (-.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))))
(/.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(/.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x)))) #s(literal -1 binary32)) s)
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) s))
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x)))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (pow.f32 (/.f32 s (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (-.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)))))
(*.f32 (pow.f32 (/.f32 s (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))

eval152.0ms (1.4%)

Memory
24.2MiB live, 283.2MiB allocated
Compiler

Compiled 35 325 to 3 209 computations (90.9% saved)

prune164.0ms (1.5%)

Memory
-25.8MiB live, 385.3MiB allocated
Pruning

38 alts after pruning (31 fresh and 7 done)

PrunedKeptTotal
New1 310161 326
Fresh41519
Picked325
Done055
Total1 317381 355
Accuracy
100.0%
Counts
1 355 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
58.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))))
✓54.4%
(/.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))))
52.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) #s(literal 2 binary32))))
56.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 2 binary32))))
▶58.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
52.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))) x) #s(literal 2 binary32))))
44.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
33.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal -2 binary32)))))
✓44.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
44.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
✓57.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
51.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
57.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)))) s))))
45.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
20.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
31.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
34.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
30.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
31.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
30.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
30.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))))
31.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
47.1%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
✓32.9%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
▶31.4%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
▶32.8%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
32.7%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
▶27.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
15.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/16 binary32)) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)))
17.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (/.f32 (fma.f32 (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s) s (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
26.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
5.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))))
✓38.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 481 to 873 computations (41.1% saved)

simplify323.0ms (2.9%)

Memory
3.4MiB live, 668.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) s)
✓cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
✓cost-diff96
(fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))
✓cost-diff0
(fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32))
✓cost-diff0
(/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))
✓cost-diff0
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
✓cost-diff192
(*.f32 (/.f32 x s) (/.f32 x s))
✓cost-diff0
(fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓cost-diff0
(fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))
✓cost-diff0
(/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
✓cost-diff0
#s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s))
✓cost-diff0
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32)))
✓cost-diff64
(*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))
✓cost-diff160
(/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))
✓cost-diff3904
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32))
Rules
11 848×lower-fma.f64
11 832×lower-fma.f32
3 206×lower-*.f64
3 188×lower-*.f32
2 334×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069538
0108535
1201493
2388479
3739479
41139477
52320477
65231477
08277471
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32))
(exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s)))
(/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))
(*.f32 #s(literal 3/2 binary32) x)
#s(literal 3/2 binary32)
x
(*.f32 #s(literal -2 binary32) s)
#s(literal -2 binary32)
s
(exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32)))
(*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))
(neg.f32 (/.f32 x s))
(/.f32 x s)
#s(literal 1/4 binary32)
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s))
(/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))
x
#s(literal 1/4 binary32)
(*.f32 s #s(literal 1/2 binary32))
s
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32))
(/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32)))
(*.f32 (*.f32 s s) #s(literal -48 binary32))
(*.f32 s s)
#s(literal -48 binary32)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
(/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))
(fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32))
#s(literal 1/16 binary32)
(*.f32 (/.f32 x s) (/.f32 x s))
(/.f32 x s)
x
s
#s(literal -1/4 binary32)
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) s)
s
(-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x)
(/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
#s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(*.f32 x x)
x
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
#s(literal 1 binary32)
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s)))
(exp.f32 (/.f32 (*.f32 x #s(literal -3/4 binary32)) s))
(/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))
(/.f32 (*.f32 x #s(literal -3/4 binary32)) s)
(*.f32 #s(literal 3/2 binary32) x)
#s(literal 3/2 binary32)
x
(*.f32 #s(literal -2 binary32) s)
#s(literal -2 binary32)
s
(exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32)))
(exp.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))
(/.f32 (*.f32 x #s(literal -1/4 binary32)) s)
(neg.f32 (/.f32 x s))
(/.f32 x (neg.f32 s))
(/.f32 x s)
#s(literal 1/4 binary32)
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s))
(/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))
x
#s(literal 1/4 binary32)
(*.f32 s #s(literal 1/2 binary32))
s
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x #s(literal -1/48 binary32)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x #s(literal -1/48 binary32)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32))
(fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x #s(literal -1/48 binary32)) #s(literal 1/4 binary32))
(/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32)))
(/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s s))
(*.f32 (*.f32 s s) #s(literal -48 binary32))
(*.f32 s (*.f32 s #s(literal -48 binary32)))
(*.f32 s s)
#s(literal -48 binary32)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x #s(literal 1/16 binary32)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
(/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))
(/.f32 (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x #s(literal 1/16 binary32)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))
(fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32))
(fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x #s(literal 1/16 binary32)) #s(literal -1/4 binary32))
#s(literal 1/16 binary32)
(*.f32 (/.f32 x s) (/.f32 x s))
(/.f32 (*.f32 x x) (*.f32 s s))
(/.f32 x s)
x
s
#s(literal -1/4 binary32)
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 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 (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s) x) s)))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s) x) s))
(/.f32 #s(literal 1 binary32) s)
s
(-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x)
(-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s) x)
(/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
(/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)
#s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))
#s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(*.f32 x x)
x
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(/.f32 x s)
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
#s(literal 2 binary32)

localize196.0ms (1.8%)

Memory
4.3MiB live, 471.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
✓accuracy98.9%
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
✓accuracy92.6%
(/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
✓accuracy57.1%
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
✓accuracy99.3%
(*.f32 (/.f32 x s) (/.f32 x s))
✓accuracy98.8%
(fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32))
✓accuracy60.9%
(/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))
✓accuracy32.9%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
✓accuracy98.6%
(*.f32 (*.f32 s s) #s(literal -48 binary32))
✓accuracy95.2%
(fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32))
✓accuracy92.4%
(/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32)))
✓accuracy30.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓accuracy100.0%
(*.f32 s #s(literal 1/2 binary32))
✓accuracy100.0%
#s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s))
✓accuracy99.9%
(/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
✓accuracy32.9%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32)))
✓accuracy99.8%
(exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32)))
✓accuracy99.7%
(*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))
✓accuracy99.4%
(/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))
Samples
117.0ms256×0valid
Compiler

Compiled 378 to 69 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 30.0ms (32.2% of total)
ival-div: 22.0ms (23.6% of total)
ival-add: 16.0ms (17.2% of total)
ival-exp: 6.0ms (6.4% of total)
ival-sub: 5.0ms (5.4% of total)
const: 5.0ms (5.4% of total)
ival-pow: 5.0ms (5.4% of total)
ival-e: 2.0ms (2.1% of total)
ival-neg: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
24.3MiB live, 62.6MiB allocated
Counts
27 → 612
Calls
Call 1
Inputs
#<alt (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32))>
#<alt (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))>
#<alt (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32)))>
#<alt #s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))>
#<alt #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s))>
#<alt (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)>
#<alt (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))>
#<alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))>
#<alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))>
#<alt (/.f32 x s)>
#<alt (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32))>
#<alt (*.f32 (/.f32 x s) (/.f32 x s))>
#<alt #s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))>
#<alt (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))>
#<alt (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32))>
#<alt (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) s)>
#<alt (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32)))>
#<alt (*.f32 s #s(literal 1/2 binary32))>
#<alt (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32)))>
#<alt (*.f32 (*.f32 s s) #s(literal -48 binary32))>
#<alt (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)>
#<alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))>
#<alt (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))>
Outputs
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))>
#<alt 2>
#<alt (+ 2 (+ (* -3/4 (/ x s)) (* -1/4 (/ x s))))>
#<alt (+ 2 (+ (* -3/4 (/ x s)) (+ (* -1/4 (/ x s)) (+ (* 1/32 (/ (pow x 2) (pow s 2))) (+ (* 3/16 (/ (pow x 2) (pow s 2))) (* 9/32 (/ (pow x 2) (pow s 2))))))))>
#<alt (+ 2 (+ (* -3/4 (/ x s)) (+ (* -1/4 (/ x s)) (+ (* -9/64 (/ (pow x 3) (pow s 3))) (+ (* -3/128 (/ (pow x 3) (pow s 3))) (+ (* -1/384 (/ (pow x 3) (pow s 3))) (+ (* 1/32 (/ (pow x 2) (pow s 2))) (+ (* 3/16 (/ (pow x 2) (pow s 2))) (* 9/32 (/ (pow x 2) (pow s 2)))))))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ (* 1/4 x) (* 3/4 x)) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))) s)) (+ (* 1/4 x) (* 3/4 x))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/384 (pow x 3)) (+ (* 3/128 (pow x 3)) (* 9/64 (pow x 3)))) s)) (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2))))) s)) (+ (* 1/4 x) (* 3/4 x))) s)))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -3/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* (pow x 2) (- (* 1/192 (/ 1 (pow s 5))) (* 1/320 (/ 1 (pow s 5))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (+ (* -3/4 x) (* -1/4 x)) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -3/4 x) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))))) (pow s 2)))) (* 1/4 (/ (+ (* -3/4 x) (* -1/4 x)) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -3/4 x) (* -1/4 x)) (+ (* -1/8 (pow (+ (* -3/4 x) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))))))) (+ (* -1/8 (* (+ (* -3/4 x) (* -1/4 x)) (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))))) (* 1/4 (+ (* -9/64 (pow x 3)) (+ (* -3/128 (pow x 3)) (* -1/384 (pow x 3))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (+ (* -3/4 x) (* -1/4 x)) 2) (pow s 2))) (+ (* 1/4 (/ (+ (* -3/4 x) (* -1/4 x)) s)) (* 1/4 (/ (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (+ (* 1/4 x) (* 3/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* 1/4 x) (* 3/4 x)) 2) s)) (* 1/4 (/ (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))) s))) (* 1/4 (+ (* 1/4 x) (* 3/4 x)))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (pow (+ (* 1/4 x) (* 3/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))))) (+ (* 1/4 x) (* 3/4 x))) s)) (+ (* -1/8 (/ (* (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))) (+ (* 1/4 x) (* 3/4 x))) s)) (* 1/4 (/ (+ (* 1/384 (pow x 3)) (+ (* 3/128 (pow x 3)) (* 9/64 (pow x 3)))) s)))) (+ (* -1/8 (pow (+ (* 1/4 x) (* 3/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2))))))) s)) (* 1/4 (+ (* 1/4 x) (* 3/4 x)))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (+ 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)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 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)))>
#<alt (- (+ 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))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 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)))>
#<alt (+ 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)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (* 1/4 (/ x s))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x s))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x s))>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (* 1/4 (/ x s))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x s))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x s))>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (* 1/2 s)>
#<alt (+ (* 1/4 x) (* 1/2 s))>
#<alt (+ (* 1/4 x) (* 1/2 s))>
#<alt (+ (* 1/4 x) (* 1/2 s))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/2 (/ s x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ s x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ s x))))>
#<alt (* 1/4 x)>
#<alt (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))>
#<alt (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))>
#<alt (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))>
#<alt (* 1/4 x)>
#<alt (+ (* 1/4 x) (* 1/2 s))>
#<alt (+ (* 1/4 x) (* 1/2 s))>
#<alt (+ (* 1/4 x) (* 1/2 s))>
#<alt (* 1/2 s)>
#<alt (* s (+ 1/2 (* 1/4 (/ x s))))>
#<alt (* s (+ 1/2 (* 1/4 (/ x s))))>
#<alt (* s (+ 1/2 (* 1/4 (/ x s))))>
#<alt (* 1/2 s)>
#<alt (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))>
#<alt (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))>
#<alt (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
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#<alt 1/2>
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#<alt (+ 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)))))>
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#<alt 1/2>
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#<alt 2>
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#<alt 2>
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#<alt 1>
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#<alt (* 1/2 s)>
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#<alt (* -48 (pow s 2))>
#<alt (* -48 (pow s 2))>
#<alt (* -48 (pow s 2))>
#<alt (* -48 (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (* -1/6 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ x s))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
Calls

153 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ 1 (+ (* (exp (/ (* 3/2 x) (* -2 s))) (exp (* (neg (/ x s)) 1/4))) 1))
2.0ms
s
@-inf
(* s 1/2)
1.0ms
s
@inf
(/ 1 (+ (* (exp (/ (* 3/2 x) (* -2 s))) (exp (* (neg (/ x s)) 1/4))) 1))
1.0ms
s
@-inf
(/ 1 (+ (* (exp (/ (* 3/2 x) (* -2 s))) (exp (* (neg (/ x s)) 1/4))) 1))
1.0ms
s
@inf
(+ (* (exp (/ (* 3/2 x) (* -2 s))) (exp (* (neg (/ x s)) 1/4))) 1)

simplify331.0ms (3%)

Memory
6.0MiB live, 487.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 264×lower-fma.f64
10 264×lower-fma.f32
5 352×lower-*.f64
5 352×lower-*.f32
2 418×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05595824
117455283
260235192
082004926
Stop Event
1×iter limit
1×node limit
Counts
612 → 612
Calls
Call 1
Inputs
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 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
2
(+ 2 (+ (* -3/4 (/ x s)) (* -1/4 (/ x s))))
(+ 2 (+ (* -3/4 (/ x s)) (+ (* -1/4 (/ x s)) (+ (* 1/32 (/ (pow x 2) (pow s 2))) (+ (* 3/16 (/ (pow x 2) (pow s 2))) (* 9/32 (/ (pow x 2) (pow s 2))))))))
(+ 2 (+ (* -3/4 (/ x s)) (+ (* -1/4 (/ x s)) (+ (* -9/64 (/ (pow x 3) (pow s 3))) (+ (* -3/128 (/ (pow x 3) (pow s 3))) (+ (* -1/384 (/ (pow x 3) (pow s 3))) (+ (* 1/32 (/ (pow x 2) (pow s 2))) (+ (* 3/16 (/ (pow x 2) (pow s 2))) (* 9/32 (/ (pow x 2) (pow s 2)))))))))))
2
(+ 2 (* -1 (/ (+ (* 1/4 x) (* 3/4 x)) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))) s)) (+ (* 1/4 x) (* 3/4 x))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/384 (pow x 3)) (+ (* 3/128 (pow x 3)) (* 9/64 (pow x 3)))) s)) (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2))))) s)) (+ (* 1/4 x) (* 3/4 x))) s)))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -3/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ 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) (- (* (pow x 2) (- (* 1/192 (/ 1 (pow s 5))) (* 1/320 (/ 1 (pow s 5))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
(/ 1 (+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s))))))
1/2
(+ 1/2 (* -1/4 (/ (+ (* -3/4 x) (* -1/4 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -3/4 x) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))))) (pow s 2)))) (* 1/4 (/ (+ (* -3/4 x) (* -1/4 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -3/4 x) (* -1/4 x)) (+ (* -1/8 (pow (+ (* -3/4 x) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))))))) (+ (* -1/8 (* (+ (* -3/4 x) (* -1/4 x)) (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))))) (* 1/4 (+ (* -9/64 (pow x 3)) (+ (* -3/128 (pow x 3)) (* -1/384 (pow x 3))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (+ (* -3/4 x) (* -1/4 x)) 2) (pow s 2))) (+ (* 1/4 (/ (+ (* -3/4 x) (* -1/4 x)) s)) (* 1/4 (/ (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ (+ (* 1/4 x) (* 3/4 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* 1/4 x) (* 3/4 x)) 2) s)) (* 1/4 (/ (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))) s))) (* 1/4 (+ (* 1/4 x) (* 3/4 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (pow (+ (* 1/4 x) (* 3/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))))) (+ (* 1/4 x) (* 3/4 x))) s)) (+ (* -1/8 (/ (* (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2)))) (+ (* 1/4 x) (* 3/4 x))) s)) (* 1/4 (/ (+ (* 1/384 (pow x 3)) (+ (* 3/128 (pow x 3)) (* 9/64 (pow x 3)))) s)))) (+ (* -1/8 (pow (+ (* 1/4 x) (* 3/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 3/16 (pow x 2)) (* 9/32 (pow x 2))))))) s)) (* 1/4 (+ (* 1/4 x) (* 3/4 x)))) s)))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+ 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)))))
(/ 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 (+ 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 (+ 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)))))
1/2
(+ 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))))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 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)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* 1/4 (/ x s)))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
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1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
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(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(* 1/2 s)
(+ (* 1/4 x) (* 1/2 s))
(+ (* 1/4 x) (* 1/2 s))
(+ (* 1/4 x) (* 1/2 s))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ s x))))
(* x (+ 1/4 (* 1/2 (/ s x))))
(* x (+ 1/4 (* 1/2 (/ s x))))
(* 1/4 x)
(* -1 (* x (- (* -1/2 (/ s x)) 1/4)))
(* -1 (* x (- (* -1/2 (/ s x)) 1/4)))
(* -1 (* x (- (* -1/2 (/ s x)) 1/4)))
(* 1/4 x)
(+ (* 1/4 x) (* 1/2 s))
(+ (* 1/4 x) (* 1/2 s))
(+ (* 1/4 x) (* 1/2 s))
(* 1/2 s)
(* s (+ 1/2 (* 1/4 (/ x s))))
(* s (+ 1/2 (* 1/4 (/ x s))))
(* s (+ 1/2 (* 1/4 (/ x s))))
(* 1/2 s)
(* -1 (* s (- (* -1/4 (/ x s)) 1/2)))
(* -1 (* s (- (* -1/4 (/ x s)) 1/2)))
(* -1 (* s (- (* -1/4 (/ x s)) 1/2)))
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 (+ 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 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+ 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)))))
(/ 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 (+ 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 (+ 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)))))
1/2
(+ 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))))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 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)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
-1/4
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(* 1/16 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* 1/16 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))
(* 1/16 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/4 (pow s 2)) (* 1/16 (pow x 2))) (pow s 2))
(/ (+ (* -1/4 (pow s 2)) (* 1/16 (pow x 2))) (pow s 2))
(/ (+ (* -1/4 (pow s 2)) (* 1/16 (pow x 2))) (pow s 2))
-1/4
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
-1/4
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)
(* -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 (- (* 2 s) x))))) (pow s 3))
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 (* -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 (* 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))))
(* -1/6 (/ (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))))))
(* -1/6 (/ (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))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -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))))))
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 (* 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 (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 (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 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
1
(+ 1 (* -1/4 (/ x s)))
(+ 1 (* x (- (* 1/32 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/384 (/ x (pow s 3))) (* 1/32 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
1
(+ 1 (* -1/4 (/ x s)))
(+ 1 (+ (* -1/4 (/ x s)) (* 1/32 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/4 (/ x s)) (+ (* -1/384 (/ (pow x 3) (pow s 3))) (* 1/32 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1/4 (/ x s)))
(+ 1 (* -1 (/ (+ (* -1/32 (/ (pow x 2) s)) (* 1/4 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/384 (/ (pow x 3) s)) (* 1/32 (pow x 2))) s)) (* 1/4 x)) s)))
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* 1/2 s)
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -1/48 (/ x (pow s 2)))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* -48 (pow s 2))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ 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))))
(* -1/6 (/ 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 (/ 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 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
Outputs
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 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (* (exp (* -3/4 (/ x s))) (exp (* -1/4 (/ x s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
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(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x s)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(* 1/2 (/ (pow x 2) s))
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x s)))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal 1/6 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal 1/6 binary32))) (neg.f32 s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1/6 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/6 binary32))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1/6 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/6 binary32))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
(* -1/6 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/6 binary32))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* 1/2 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))
(* -1 (* (pow x 3) (- (* 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 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 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 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 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 (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) s)
(* 1/2 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))

rewrite374.0ms (3.4%)

Memory
-26.1MiB live, 495.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 538×lower-*.f64
5 520×lower-*.f32
3 990×lower-fma.f64
3 974×lower-fma.f32
3 314×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069413
0108396
1455351
23436337
09788333
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 628
Calls
Call 1
Inputs
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))
(*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s))
(/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
(fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32))
(*.f32 (/.f32 x s) (/.f32 x s))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
(/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))
(fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 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) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) s)
(exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32)))
(*.f32 s #s(literal 1/2 binary32))
(/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32)))
(*.f32 (*.f32 s s) #s(literal -48 binary32))
(/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
Outputs
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.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))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -3/4 binary32) x) s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -3/4 binary32) x) s)) (*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (exp.f32 (/.f32 (*.f32 #s(literal -3/4 binary32) x) s)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (*.f32 (exp.f32 (/.f32 (*.f32 #s(literal -3/4 binary32) x) s)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (pow.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (E.f32) (/.f32 x (*.f32 #s(literal -2 binary32) s))) (pow.f32 (E.f32) (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
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(/.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (*.f32 x x)) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 (*.f32 x (neg.f32 x)) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 (*.f32 x (neg.f32 x)) #s(literal 1/2 binary32))) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) (*.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 (*.f32 x (neg.f32 x)) #s(literal 1/2 binary32))) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 (*.f32 x (neg.f32 x)) #s(literal 1/2 binary32)))))
(*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 x x))
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32)) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) s)) (*.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))))
(*.f32 (fma.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)) (neg.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (*.f32 (*.f32 x (neg.f32 x)) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) x)

eval200.0ms (1.8%)

Memory
8.8MiB live, 194.3MiB allocated
Compiler

Compiled 33 093 to 3 326 computations (89.9% saved)

prune284.0ms (2.6%)

Memory
-6.3MiB live, 320.4MiB allocated
Pruning

40 alts after pruning (30 fresh and 10 done)

PrunedKeptTotal
New1 48391 492
Fresh52126
Picked235
Done077
Total1 490401 530
Accuracy
100.0%
Counts
1 530 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -3/4 binary32) x) s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
58.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))))
✓54.4%
(/.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))))
52.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) #s(literal 2 binary32))))
✓58.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
58.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
52.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) (*.f32 s s))) x) #s(literal 2 binary32))))
33.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal -2 binary32)))))
✓44.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
44.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
✓57.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
51.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
57.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)))) s))))
45.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
20.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
31.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
34.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
30.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
31.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
30.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
30.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))))
31.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
47.1%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
✓32.9%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
44.9%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
✓32.8%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
38.1%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
32.8%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
32.7%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
30.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓27.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
15.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/16 binary32)) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)))
17.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (/.f32 (fma.f32 s (*.f32 s (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 s (*.f32 s s)))))
5.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))))
26.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
✓38.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 897 to 766 computations (59.6% saved)

regimes139.0ms (1.2%)

Memory
34.6MiB live, 111.2MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (/.f32 (fma.f32 (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s) s (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (/.f32 (fma.f32 s (*.f32 s (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 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 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 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 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s 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) s) (-.f32 #s(approx (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) (*.f32 s 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) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/16 binary32)) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (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) (+.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))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -3/4 binary32) x) s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
Calls

7 calls:

38.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
26.0ms
s
16.0ms
(neg.f32 x)
16.0ms
x
15.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes189.0ms (1.7%)

Memory
-10.9MiB live, 146.9MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (/.f32 (fma.f32 (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s) s (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (/.f32 (fma.f32 s (*.f32 s (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 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 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 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 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s 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) s) (-.f32 #s(approx (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) (*.f32 s 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) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/16 binary32)) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (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) (+.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))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -3/4 binary32) x) s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/4 binary32))) #s(literal 1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
Calls

7 calls:

47.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
39.0ms
(neg.f32 x)
29.0ms
x
28.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
15.0ms
s
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes165.0ms (1.5%)

Memory
0.4MiB live, 119.9MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (/.f32 (fma.f32 (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s) s (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (/.f32 (fma.f32 s (*.f32 s (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 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 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 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 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s 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) s) (-.f32 #s(approx (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) (*.f32 s 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) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/16 binary32)) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (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) (+.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))))
Calls

7 calls:

70.0ms
x
27.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
17.0ms
(/.f32 (neg.f32 x) s)
14.0ms
s
13.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes180.0ms (1.6%)

Memory
-13.6MiB live, 148.4MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (/.f32 (fma.f32 (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s) s (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (/.f32 (fma.f32 s (*.f32 s (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 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 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 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 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s 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) s) (-.f32 #s(approx (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 s #s(literal 1/2 binary32)) x) x)) (*.f32 s 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) s) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 (*.f32 x x) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/16 binary32)) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal -2 binary32)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))))
Calls

7 calls:

42.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
39.0ms
(neg.f32 x)
36.0ms
s
27.0ms
x
12.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
67.3%2x
58.4%1s
70.7%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
70.7%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
70.7%3(exp.f32 (/.f32 (neg.f32 x) s))
70.7%3(/.f32 (neg.f32 x) s)
67.3%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes56.0ms (0.5%)

Memory
3.9MiB live, 85.6MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (/.f32 (fma.f32 (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s) s (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (/.f32 (fma.f32 s (*.f32 s (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 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 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 #s(approx (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
Calls

5 calls:

15.0ms
(neg.f32 x)
12.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
10.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
8.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
67.3%2(neg.f32 x)
67.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
67.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
67.1%2(exp.f32 (/.f32 (neg.f32 x) s))
67.1%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 37 to 27 computations (27% saved)

regimes96.0ms (0.9%)

Memory
3.2MiB live, 81.7MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (/.f32 (fma.f32 (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s) s (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (/.f32 (fma.f32 s (*.f32 s (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 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 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))))
Calls

6 calls:

38.0ms
x
22.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
10.0ms
(neg.f32 x)
9.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
66.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
66.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
66.5%2(exp.f32 (/.f32 (neg.f32 x) s))
66.5%2(/.f32 (neg.f32 x) s)
65.3%2x
65.3%2(neg.f32 x)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes72.0ms (0.6%)

Memory
-10.2MiB live, 67.4MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (/.f32 (fma.f32 (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s) s (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (/.f32 (fma.f32 s (*.f32 s (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 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 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s))))
Calls

4 calls:

44.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
9.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
7.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
65.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.5%2(exp.f32 (/.f32 (neg.f32 x) s))
65.5%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes71.0ms (0.6%)

Memory
16.3MiB live, 92.6MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (/.f32 (fma.f32 (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s) s (*.f32 #s(literal -1/48 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ x (* (* s s) -48)) x) 1/4)) 1/2) (/.f32 (fma.f32 s (*.f32 s (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 s (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 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 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))) x) s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
Calls

6 calls:

30.0ms
x
9.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
9.0ms
(neg.f32 x)
8.0ms
(/.f32 (neg.f32 x) s)
7.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
64.1%2x
64.1%2(neg.f32 x)
68.4%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
68.4%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
68.4%3(exp.f32 (/.f32 (neg.f32 x) s))
68.4%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes54.0ms (0.5%)

Memory
7.4MiB live, 46.7MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x (*.f32 (*.f32 s s) #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ 1 s) (- (/ (+ (* (* -1/6 x) (/ (* x x) s)) (* x (* x 1/2))) s) x)) 2) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
Calls

4 calls:

37.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
65.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.1%2(exp.f32 (/.f32 (neg.f32 x) s))
65.1%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes36.0ms (0.3%)

Memory
4.0MiB live, 46.6MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
Calls

7 calls:

12.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms
s
4.0ms
(neg.f32 x)
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
44.9%1s
52.5%2x
52.5%2(neg.f32 x)
53.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
53.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
53.2%2(exp.f32 (/.f32 (neg.f32 x) s))
53.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes10.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
Calls

3 calls:

3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
53.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
53.2%2(exp.f32 (/.f32 (neg.f32 x) s))
53.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes24.0ms (0.2%)

Memory
-11.7MiB live, 27.0MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
Calls

4 calls:

16.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
53.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
53.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
53.2%2(exp.f32 (/.f32 (neg.f32 x) s))
53.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes22.0ms (0.2%)

Memory
1.0MiB live, 40.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
Calls

6 calls:

9.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(neg.f32 x)
3.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
51.5%2x
51.5%2(neg.f32 x)
51.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
51.7%2(exp.f32 (/.f32 (neg.f32 x) s))
51.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes17.0ms (0.1%)

Memory
9.5MiB live, 47.9MiB allocated
Accuracy

Total -2.5b remaining (-12.4%)

Threshold costs -2.5b (-12.4%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 #s(approx (+ (* x 1/4) (* s 1/2)) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
x
2.0ms
s
Results
AccuracySegmentsBranch
38.1%1s
38.1%1x
38.1%1(neg.f32 x)
38.1%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
38.1%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
38.1%1(exp.f32 (/.f32 (neg.f32 x) s))
38.1%1(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.30210232734680176
14.650004386901855
0.0ms
-61.205078125
-1.8922959566116333
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.8464887948366312e-29
2.663897428604086e-28
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.8922959566116333
-0.3853565752506256
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.8922959566116333
-0.3853565752506256
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.30210232734680176
14.650004386901855
0.0ms
-61.205078125
-1.8922959566116333
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.30210232734680176
14.650004386901855
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch5.0ms (0%)

Memory
-47.8MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
5.0ms
-1.8922959566116333
-0.3853565752506256
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.8922959566116333
-0.3853565752506256
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.8922959566116333
-0.3853565752506256
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.30210232734680176
14.650004386901855
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify53.0ms (0.5%)

Memory
23.5MiB live, 60.5MiB allocated
Algorithm
1×egg-herbie
Rules
372×distribute-lft-neg-in_binary32
268×neg-mul-1_binary32
232×unsub-neg_binary32
228×neg-sub0_binary32
150×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142600
1178600
2206600
3239600
4282600
5335600
6421600
7611600
8864600
91133600
101286600
111385600
121423600
131429600
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(/.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 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -50 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))))))
(if (<=.f32 (neg.f32 x) #s(literal 1661535/83076749736557242056487941267521536 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -50 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (/.f32 #s(approx (+ (* 1/16 (* (/ x s) (/ x s))) -1/4) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(/.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 x (neg.f32 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 x (neg.f32 s))) #s(literal 1 binary32)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -50 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -50 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))))))
(if (<=.f32 (neg.f32 x) #s(literal 1661535/83076749736557242056487941267521536 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s) x) s)))))
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(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s) x) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -50 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -50 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) (*.f32 s #s(literal -48 binary32))) x #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))))
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(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness2.3s (20.7%)

Memory
0.5MiB live, 1 371.2MiB allocated
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
15 822×lower-fma.f64
15 822×lower-fma.f32
10 264×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
14827
225527
3210127
0846526
069413
0108396
1455351
23436337
09788333
038268
063254
1269251
22139251
08455251
05595824
117455283
260235192
082004926
03995077
112664191
239034093
083213894
0140758
1378748
21147742
33893722
08438682
064502
0107472
1448431
23376430
08139418
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 617 to 298 computations (51.7% saved)

preprocess73.0ms (0.7%)

Memory
4.9MiB live, 158.1MiB allocated
Compiler

Compiled 684 to 208 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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