Logistic function

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze38.0ms (0.4%)

Memory
-4.8MiB live, 73.4MiB 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)

sample960.0ms (10%)

Memory
16.1MiB live, 1 749.4MiB allocated
Samples
696.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 488.0ms
ival-div: 116.0ms (23.7% of total)
const: 113.0ms (23.1% of total)
ival-<=: 87.0ms (17.8% of total)
ival-exp: 62.0ms (12.7% of total)
ival-neg: 44.0ms (9% of total)
ival-add: 42.0ms (8.6% of total)
ival-and: 11.0ms (2.3% of total)
exact: 11.0ms (2.3% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain97.0ms (1%)

Memory
-6.6MiB live, 162.8MiB 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)))
03(1.3810763784764118e-14 8.752789152417201e-17)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))sensitivity31
Confusion
Predicted +Predicted -
+00
-3253
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-31252
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
32.0ms512×0valid
Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 7.0ms (36.2% of total)
ival-add: 5.0ms (25.9% of total)
ival-exp: 4.0ms (20.7% of total)
ival-neg: 3.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess34.0ms (0.4%)

Memory
20.5MiB live, 58.3MiB 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)))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB 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

localize29.0ms (0.3%)

Memory
-30.9MiB live, 49.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f32 x)
accuracy0.0234375
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy0.03125
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy0.05678221568628175
(exp.f32 (/.f32 (neg.f32 x) s))
Samples
21.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 6.0ms (41.7% of total)
ival-div: 5.0ms (34.7% of total)
ival-exp: 2.0ms (13.9% of total)
ival-neg: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
29.1MiB live, 29.1MiB 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
x
@0
(exp (/ (neg x) s))
1.0ms
s
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))

simplify646.0ms (6.8%)

Memory
-8.9MiB live, 1 128.5MiB 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)

rewrite314.0ms (3.3%)

Memory
24.5MiB live, 622.1MiB allocated
Rules
4 358×lower-/.f64
4 354×lower-/.f32
3 830×lower-fma.f64
3 830×lower-fma.f32
3 688×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
14827
225527
3210127
0846526
Stop Event
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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eval76.0ms (0.8%)

Memory
13.4MiB live, 202.9MiB allocated
Compiler

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

prune118.0ms (1.2%)

Memory
12.8MiB live, 361.6MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New80810818
Fresh000
Picked011
Done000
Total80811819
Accuracy
100.0%
Counts
819 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
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))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
▶44.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))))
✓99.8%
(/.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))))
57.5%
(/.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))))
▶41.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
63.2%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
18.8%
#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)))
29.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
▶34.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 301 to 198 computations (34.2% saved)

simplify335.0ms (3.5%)

Memory
-19.0MiB live, 746.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))
cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))))
cost-diff640
(/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))
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
15 154×lower-fma.f64
15 150×lower-fma.f32
3 544×lower-*.f64
3 538×lower-*.f32
2 088×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034228
056197
198197
2221191
3614191
41698191
54098191
67609191
08183191
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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))))
(exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))
(/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(*.f32 (*.f32 x x) (neg.f32 s))
(neg.f32 s)
s
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 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) 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)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(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 x (/.f32 #s(literal 1/2 binary32) 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))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 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) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(*.f32 (*.f32 x x) (neg.f32 s))
(*.f32 s (*.f32 x (neg.f32 x)))
(neg.f32 s)
s

localize143.0ms (1.5%)

Memory
10.7MiB live, 207.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.05678221568628175
(exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))
accuracy0.1015625
(*.f32 x (*.f32 x x))
accuracy3.180542086068288
(*.f32 (*.f32 x x) (neg.f32 s))
accuracy17.372714944302263
(/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))
accuracy0.03125
(/.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))))
accuracy0.09164395237805302
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
accuracy0.1328125
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy14.565451501786429
#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)))
accuracy0
(/.f32 x s)
accuracy0.015625
(-.f32 #s(literal 2 binary32) (/.f32 x s))
accuracy0.03125
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
accuracy19.13758469159899
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy20.835859696949726
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy0
(E.f32)
accuracy0.0234375
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
accuracy0.03125
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
accuracy0.06283517336046127
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
Samples
92.0ms256×0valid
Compiler

Compiled 195 to 31 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-pow: 45.0ms (57.8% of total)
ival-div: 11.0ms (14.1% of total)
ival-mult: 7.0ms (9% of total)
ival-add: 5.0ms (6.4% of total)
ival-exp: 4.0ms (5.1% of total)
ival-e: 2.0ms (2.6% of total)
ival-neg: 2.0ms (2.6% of total)
ival-sub: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory
-14.1MiB live, 105.8MiB allocated
Counts
19 → 420
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 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))))>
#<alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))))>
#<alt (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))>
#<alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))>
#<alt (*.f32 (*.f32 x x) (neg.f32 s))>
#<alt (*.f32 x (*.f32 x x))>
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 (/ 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 1/2>
#<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>
#<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 (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (* -1 (* s (pow x 2)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
Calls

105 calls:

TimeVariablePointExpression
19.0ms
x
@0
(+ 1 (exp (/ (neg x) s)))
3.0ms
s
@inf
(* (* x x) (neg s))
1.0ms
s
@-inf
(pow (E) (/ (neg x) s))
1.0ms
x
@inf
(+ (* 1/2 (/ x s)) -1)
1.0ms
x
@0
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))

simplify381.0ms (4%)

Memory
37.3MiB live, 789.9MiB allocated
Algorithm
1×egg-herbie
Rules
17 602×lower-fma.f64
17 602×lower-fma.f32
3 736×lower-*.f64
3 736×lower-*.f32
2 220×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03164409
19863288
229223207
375073115
084872938
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
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))))))
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(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))
(+ 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)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(+.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s 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 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))) 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)))))
(/.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)))))
(/.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)))))
(/.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)))))
1/2
#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 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(fma.f32 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
1/2
#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 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
(fma.f32 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))
(+ 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))))))))
(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 2 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))) s)) s))
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 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* 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 (*.f32 x x) (/.f32 #s(literal 1/480 binary32) (pow.f32 s #s(literal 5 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 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
1/2
#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)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
1/2
#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 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* 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 (*.f32 x x) (/.f32 #s(literal 1/480 binary32) (pow.f32 s #s(literal 5 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 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
1/2
#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))
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 1/2 binary32)
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(/ 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 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
1/2
#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)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))
(+ 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 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 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 #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s 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 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) 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 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(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 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)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s 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)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))) s)) s))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(/ (+ (* -1 s) (* 1/2 x)) s)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(/ (+ (* -1 s) (* 1/2 x)) s)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(* -1 (* s (pow x 2)))
(*.f32 x (*.f32 x (neg.f32 s)))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))

rewrite400.0ms (4.2%)

Memory
-40.8MiB live, 756.5MiB allocated
Rules
4 192×lower-*.f64
4 186×lower-*.f32
3 760×lower-/.f64
3 748×lower-/.f32
3 514×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034197
056172
1234162
21749160
08830160
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 833
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))
(/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))))
(exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(*.f32 (*.f32 x x) (neg.f32 s))
(*.f32 x (*.f32 x x))
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 (log.f32 (exp.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x (*.f32 x x)))) (*.f32 x (/.f32 x (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 (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))))
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(pow.f32 (pow.f32 (exp.f32 x) (/.f32 x (neg.f32 s))) (/.f32 x (*.f32 x x)))
(pow.f32 (pow.f32 (exp.f32 x) (/.f32 x (*.f32 x x))) (/.f32 x (neg.f32 s)))
(pow.f32 (pow.f32 (exp.f32 x) (/.f32 x x)) (/.f32 x (neg.f32 (*.f32 x s))))
(pow.f32 (pow.f32 (exp.f32 (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))))
(pow.f32 (pow.f32 (exp.f32 (/.f32 x (*.f32 x x))) x) (/.f32 x (neg.f32 s)))
(pow.f32 (pow.f32 (exp.f32 (/.f32 x (*.f32 x x))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (exp.f32 (/.f32 x (*.f32 x x))) (/.f32 x #s(literal -1 binary32))) (/.f32 x s))
(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 (exp.f32 (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (*.f32 x x)) (*.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s)))))
(pow.f32 (exp.f32 (*.f32 x x)) (/.f32 (neg.f32 x) (*.f32 x (*.f32 x s))))
(pow.f32 (exp.f32 (neg.f32 (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))
(pow.f32 (exp.f32 (*.f32 x (/.f32 x (neg.f32 s)))) (/.f32 x (*.f32 x x)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s)))) (*.f32 x (*.f32 x x)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s))) x)
(pow.f32 (exp.f32 (/.f32 x x)) (/.f32 (*.f32 x x) (neg.f32 (*.f32 x s))))
(pow.f32 (exp.f32 (/.f32 (*.f32 x x) x)) (/.f32 x (neg.f32 (*.f32 x s))))
(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 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 (*.f32 x x) (*.f32 x (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x (*.f32 x x))) (/.f32 (*.f32 x x) s)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (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 (*.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 (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 (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)))
(+.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))
(+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) #s(literal -1 binary32))
(pow.f32 (/.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)))) (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32) #s(literal -1 binary32))) #s(literal -1 binary32))
(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))
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32))
(-.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))))
(/.f32 #s(literal 1 binary32) (/.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)))) (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 (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 #s(literal -1 binary32) (neg.f32 (/.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)))) (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) (neg.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)))))
(/.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 (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32) #s(literal -1 binary32))) (neg.f32 (+.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 (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 (-.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 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.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))))
(/.f32 (neg.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 (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 (neg.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/4 binary32)))) (neg.f32 (-.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))))
(neg.f32 (*.f32 x (*.f32 x s)))
(-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x s)))
(*.f32 x (neg.f32 (*.f32 x s)))
(*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s)))
(*.f32 (*.f32 x x) (neg.f32 s))
(*.f32 (neg.f32 s) (*.f32 x x))
(*.f32 (neg.f32 (*.f32 x s)) x)
(*.f32 (neg.f32 (*.f32 x x)) s)
(*.f32 (*.f32 (*.f32 x x) #s(literal -1 binary32)) s)
(neg.f32 (neg.f32 (*.f32 x (*.f32 x x))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(*.f32 x (*.f32 x x))
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
(*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 x x) x)
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))

eval153.0ms (1.6%)

Memory
19.2MiB live, 360.0MiB allocated
Compiler

Compiled 26 416 to 2 745 computations (89.6% saved)

prune137.0ms (1.4%)

Memory
-30.5MiB live, 376.5MiB allocated
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New1 352151 367
Fresh235
Picked145
Done011
Total1 355231 378
Accuracy
100.0%
Counts
1 378 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶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))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓44.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
54.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
57.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))) s)) s))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))))))
52.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
▶52.4%
(/.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))))
41.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 2 binary32))))
20.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))) (*.f32 x (*.f32 x x)) #s(literal 2 binary32))))
▶57.5%
(/.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))))
26.5%
(/.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 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))
✓41.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
41.4%
(/.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)))))
54.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
20.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
34.8%
(/.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)))))
▶38.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))))
63.2%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶29.1%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
18.8%
#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)))
✓34.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 718 to 448 computations (37.6% saved)

simplify438.0ms (4.6%)

Memory
25.5MiB live, 656.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(/.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))))
cost-diff160
(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))
cost-diff0
(/.f32 x s)
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(/.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))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))
cost-diff0
#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))))
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
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
cost-diff0
(/.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))))
cost-diff3328
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
Rules
20 666×lower-fma.f64
20 656×lower-fma.f32
4 464×lower-*.f64
4 454×lower-*.f32
1 734×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050409
078409
1147403
2319400
3571400
4951400
51867400
64644400
08099384
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 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
#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)))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(/.f32 x s)
x
s
#s(literal -1/2 binary32)
#s(literal 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)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))
#s(literal 1/2 binary32)
(*.f32 x (/.f32 x (*.f32 s s)))
x
(/.f32 x (*.f32 s s))
(*.f32 s s)
s
(/.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))))
#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)))
(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 x s)
x
s
#s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(literal 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))))
#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)))
(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))
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))
(/.f32 x (*.f32 s s))
(*.f32 s s)
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 2 binary32)
Outputs
(/.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) (exp.f32 (/.f32 (neg.f32 x) s))))
#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) (exp.f32 (/.f32 (neg.f32 x) s)))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(/.f32 x s)
x
s
#s(literal -1/2 binary32)
#s(literal 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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
x
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.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 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
#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))))))
#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s 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 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))
(*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
#s(literal 1/2 binary32)
(*.f32 x (/.f32 x (*.f32 s s)))
(/.f32 (*.f32 x x) (*.f32 s s))
x
(/.f32 x (*.f32 s s))
(*.f32 s s)
s
(/.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))))
#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)))
(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 x s)
x
s
#s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(literal 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
#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)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(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))
(fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) #s(literal 2 binary32))
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))
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 x (*.f32 s s))
(*.f32 s s)
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 2 binary32)

localize138.0ms (1.4%)

Memory
-0.2MiB live, 268.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.3713349857250018
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy2.035126723496468
(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))
accuracy3.6014624908170045
(/.f32 x (*.f32 s s))
accuracy14.13099925893212
#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)))
accuracy0.05258789950233307
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
accuracy0.1328125
(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))
accuracy8.450100898162376
#s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))
accuracy14.565451501786429
#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)))
accuracy1.490791539600018
(*.f32 x (/.f32 x (*.f32 s s)))
accuracy3.6014624908170045
(/.f32 x (*.f32 s s))
accuracy8.270753114915632
#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
accuracy14.565451501786429
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
accuracy0
(/.f32 #s(literal 1/4 binary32) s)
accuracy0.17578125
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
accuracy22.679751953930687
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
accuracy0.03125
(/.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))))
accuracy0.05814129109026732
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
accuracy0.07421875
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
accuracy0.07601895237805302
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
Samples
91.0ms256×0valid
Compiler

Compiled 266 to 46 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 23.0ms (31.8% of total)
ival-div: 15.0ms (20.7% of total)
ival-add: 11.0ms (15.2% of total)
ival-pow2: 5.0ms (6.9% of total)
ival-pow: 5.0ms (6.9% of total)
ival-exp: 4.0ms (5.5% of total)
const: 4.0ms (5.5% of total)
ival-e: 3.0ms (4.1% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory
25.4MiB live, 105.5MiB allocated
Counts
25 → 588
Calls
Call 1
Inputs
#<alt (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))>
#<alt (/.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))))>
#<alt (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))>
#<alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 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 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))>
#<alt #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))>
#<alt (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))>
#<alt (/.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))))>
#<alt #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)))>
#<alt (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))>
#<alt (/.f32 x s)>
#<alt (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))>
#<alt (/.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))))>
#<alt #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)))>
#<alt (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))>
#<alt (*.f32 (/.f32 x s) #s(literal -1/2 binary32))>
#<alt (/.f32 x (*.f32 s s))>
#<alt (*.f32 x (/.f32 x (*.f32 s s)))>
#<alt #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))>
#<alt (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)>
#<alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))>
Outputs
#<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 (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<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)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) 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 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<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 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3)))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<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 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x 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)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 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 (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 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) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 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)))))>
#<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 (/ 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 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 (+ (* -1 x) (* 2 s)))))) (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 1/2>
#<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 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<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 (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ 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 (* -1/6 (/ 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)))>
Calls

147 calls:

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

simplify332.0ms (3.5%)

Memory
-28.1MiB live, 497.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 966×lower-fma.f64
12 966×lower-fma.f32
4 044×lower-*.f64
4 044×lower-*.f32
3 888×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04235716
113015333
240464851
081874628
Stop Event
1×iter limit
1×node limit
Counts
588 → 588
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 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 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3)))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* 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 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
1
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(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (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
(- (* 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)
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x 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)))
Outputs
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 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #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 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)) #s(literal 1 binary32))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(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 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
(fma.f32 x (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #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)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) s))
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 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (*.f32 (/.f32 x (*.f32 s (*.f32 s s))) x) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/480 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 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 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.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 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3)))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(-.f32 (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s))))
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)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) 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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) #s(literal 1/4 binary32)) s)) s) (*.f32 x #s(literal 1/4 binary32))) 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 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #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 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)) #s(literal 2 binary32))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.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 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
(fma.f32 x (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #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)))
(-.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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) s)) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) s)) #s(literal 1 binary32))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) #s(literal 1 binary32)))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/8 binary32)) s)) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 x (*.f32 x #s(literal 1/8 binary32)))) (neg.f32 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)))))
(/.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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#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#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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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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1/2
#s(literal 1/2 binary32)
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-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 x #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))
(* -1/6 (/ x s))
(*.f32 x (/.f32 #s(literal -1/6 binary32) s))
(* 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 x (/.f32 #s(literal -1/6 binary32) s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1/6 (/ x s))
(*.f32 x (/.f32 #s(literal -1/6 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)
(/ (+ (* -1/6 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))

rewrite322.0ms (3.4%)

Memory
-0.6MiB live, 437.3MiB allocated
Rules
3 622×lower-/.f64
3 604×lower-/.f32
3 088×lower-*.f64
3 078×lower-*.f32
2 698×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050361
078361
1353351
22889341
08152331
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 723
Calls
Call 1
Inputs
(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 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (/.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)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))
(/.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))))
#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)))
(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 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))) (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))))
#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)))
(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))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(/.f32 x (*.f32 s s))
(*.f32 x (/.f32 x (*.f32 s s)))
#s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
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 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (+.f32 (/.f32 x s) (/.f32 x s)))) #s(literal -1/2 binary32)))
(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 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(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 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 (/.f32 x s) #s(literal -1/2 binary32)))
(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 (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))) #s(literal 1 binary32)))
(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 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (+.f32 (/.f32 x s) (/.f32 x s))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (+.f32 (/.f32 x s) (/.f32 x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (E.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal 2 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)) x)
(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 (exp.f32 (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (*.f32 (exp.f32 #s(literal -1/2 binary32)) (exp.f32 #s(literal -1/2 binary32))) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (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 (/.f32 x s) #s(literal -1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(*.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 #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 (/.f32 x s) #s(literal -1/4 binary32))) (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 (/.f32 x s) #s(literal -1/4 binary32))))
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(/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))) (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)))) (neg.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32)))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))))
(*.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))

eval201.0ms (2.1%)

Memory
15.5MiB live, 235.4MiB allocated
Compiler

Compiled 27 358 to 3 147 computations (88.5% saved)

prune165.0ms (1.7%)

Memory
-13.2MiB live, 353.1MiB allocated
Pruning

32 alts after pruning (23 fresh and 9 done)

PrunedKeptTotal
New1 453171 470
Fresh7613
Picked145
Done055
Total1 461321 493
Accuracy
100.0%
Counts
1 493 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓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))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓44.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
52.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
57.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))
61.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
✓57.5%
(/.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))))
41.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
56.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
▶48.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
46.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
46.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
41.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
26.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))) #s(literal -4 binary32)) (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)))))
✓41.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
41.4%
(/.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)))))
56.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) (*.f32 s s)) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))
20.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
▶34.8%
(/.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)))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
33.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 x s)))))
35.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))))
35.9%
(/.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 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))))))
✓38.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))))
33.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))))
32.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
▶63.2%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓29.1%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
▶7.2%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
▶18.8%
#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)))
✓34.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 029 to 625 computations (39.3% saved)

simplify273.0ms (2.9%)

Memory
52.6MiB live, 436.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
cost-diff32
(/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s 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 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))
cost-diff0
#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)))
cost-diff0
#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))))
cost-diff0
(/.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)))))
cost-diff0
(/.f32 x s)
cost-diff0
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
cost-diff0
#s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
cost-diff0
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
cost-diff0
(/.f32 (-.f32 (neg.f32 x) x) s)
cost-diff0
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
cost-diff0
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
cost-diff3776
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
Rules
6 312×lower-fma.f64
6 300×lower-fma.f32
4 288×lower-*.f64
4 272×lower-*.f32
1 884×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068527
0107515
1213508
2464508
3885508
41428508
53413504
67311504
08444475
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
#s(literal 1 binary32)
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(/.f32 (-.f32 (neg.f32 x) x) s)
(-.f32 (neg.f32 x) x)
(neg.f32 x)
x
s
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 x s)
x
s
#s(literal 1/4 binary32)
(/.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(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 (+ (* (/ 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)))
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))
(*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
x
(fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))
#s(literal 1/2 binary32)
(neg.f32 s)
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)))
(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))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))
x
#s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))
(fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s)))
(fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))
#s(literal -1/6 binary32)
(*.f32 s #s(literal 1/2 binary32))
s
#s(literal 1/2 binary32)
(*.f32 s (neg.f32 s))
(neg.f32 s)
(*.f32 s (*.f32 s s))
(*.f32 s s)
#s(literal 2 binary32)
Outputs
(*.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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
#s(literal 1 binary32)
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(/.f32 (-.f32 (neg.f32 x) x) s)
(-.f32 (neg.f32 x) x)
(neg.f32 x)
x
s
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (/.f32 #s(literal 1/4 binary32) s))))
#s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
#s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 x (/.f32 #s(literal 1/4 binary32) s)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(*.f32 x (/.f32 #s(literal 1/4 binary32) s))
(/.f32 x s)
x
s
#s(literal 1/4 binary32)
(/.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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (neg.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal -1/2 binary32) s)) (*.f32 s s))))))
#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 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (neg.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal -1/2 binary32) s)) (*.f32 s 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 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (neg.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal -1/2 binary32) s)) (*.f32 s s))))
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))
(neg.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal -1/2 binary32) s)) (*.f32 s s)))
(*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
x
(fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))
#s(literal 1/2 binary32)
(neg.f32 s)
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)))
(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))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 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 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) #s(literal -1 binary32)) s)) #s(literal 2 binary32)))
(fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))
(fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) #s(literal -1 binary32)) s)) #s(literal 2 binary32))
x
#s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s))))
#s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) #s(literal -1 binary32)) s))
(/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) #s(literal -1 binary32)) s)
(fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s)))
(fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))
#s(literal -1/6 binary32)
(*.f32 s #s(literal 1/2 binary32))
s
#s(literal 1/2 binary32)
(*.f32 s (neg.f32 s))
(neg.f32 s)
(*.f32 s (*.f32 s s))
(*.f32 s s)
#s(literal 2 binary32)

localize247.0ms (2.6%)

Memory
-35.8MiB live, 404.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1640625
(fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))
accuracy1.600066648842294
(fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))
accuracy5.78933282419328
(/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))
accuracy13.368010809470627
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
accuracy0.03125
(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))
accuracy0.20675220561901128
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
accuracy4.9533752523202725
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
accuracy13.390983575044297
#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)))
accuracy0.03125
(*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
accuracy5.562376489686523
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))
accuracy7.916824864919907
#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)))
accuracy12.741548807511704
#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))))
accuracy0
(/.f32 x s)
accuracy0.08748598208114557
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
accuracy8.372964094660992
#s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
accuracy12.59945814948314
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
accuracy0.05041754138909578
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
accuracy0.06051505115753779
(expm1.f32 (/.f32 (neg.f32 x) s))
accuracy0.07421875
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
accuracy1.3796613124277832
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
Samples
81.0ms172×0valid
64.0ms83×0exit
2.0ms1×5exit
Compiler

Compiled 333 to 63 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
const: 37.0ms (30% of total)
ival-mult: 30.0ms (24.4% of total)
ival-div: 24.0ms (19.5% of total)
ival-add: 14.0ms (11.4% of total)
ival-pow: 5.0ms (4.1% of total)
ival-expm1: 4.0ms (3.2% of total)
ival-e: 3.0ms (2.4% of total)
ival-exp: 2.0ms (1.6% of total)
ival-neg: 2.0ms (1.6% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory
13.3MiB live, 126.0MiB allocated
Counts
23 → 540
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))>
#<alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))>
#<alt (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))>
#<alt (/.f32 (-.f32 (neg.f32 x) x) s)>
#<alt #s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))>
#<alt #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))>
#<alt (*.f32 (/.f32 x s) #s(literal 1/4 binary32))>
#<alt (/.f32 x s)>
#<alt (/.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)))))>
#<alt #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))))>
#<alt #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)))>
#<alt (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s 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 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))>
#<alt (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))>
#<alt (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))>
#<alt (expm1.f32 (/.f32 (neg.f32 x) s))>
#<alt (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))>
#<alt (/.f32 #s(literal -1/48 binary32) (*.f32 s s))>
#<alt (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))>
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 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt 1/2>
#<alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<alt (* -1/2 (/ s x))>
#<alt (/ (+ (* -1/2 s) (* -1/2 x)) x)>
#<alt (/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)>
#<alt (/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (* -1/2 (/ s x))>
#<alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* s (- (* -1 (/ (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x))))) (pow s 3))) (+ (* -1/3 (/ x (pow s 2))) (+ (* 1/2 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))>
#<alt (* -1/2 (/ s x))>
#<alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/3 x))) s)) (+ (* -1/3 (/ (pow x 2) s)) (* 1/6 (/ (pow x 2) s)))) (+ (* -1/2 x) (* 1/3 x))) s)) 1/2) s)) (* 1/2 (/ 1 x)))))>
#<alt (* -2 (/ x s))>
#<alt (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))>
#<alt (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))>
#<alt (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (* -2 (/ x s))>
#<alt (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)>
#<alt (* -2 (/ x s))>
#<alt (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))>
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#<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 (- (* 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 (+ (* -1 x) (* 2 s)))))) (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 s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (* s x))>
#<alt (* x (+ (* -1 s) (* 1/2 x)))>
#<alt (* x (+ (* -1 s) (* 1/2 x)))>
#<alt (* x (+ (* -1 s) (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1 (* s x)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1 (* s x)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1 (* s x)) (* 1/2 (pow x 2)))>
#<alt (* -1 (* s x))>
#<alt (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))>
#<alt (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))>
#<alt (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))>
#<alt (* -1 (* s x))>
#<alt (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))>
#<alt (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))>
#<alt (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (* 1/2 s)>
#<alt (+ (* -1/6 x) (* 1/2 s))>
#<alt (+ (* -1/6 x) (* 1/2 s))>
#<alt (+ (* -1/6 x) (* 1/2 s))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/2 (/ s x)) 1/6))>
#<alt (* x (- (* 1/2 (/ s x)) 1/6))>
#<alt (* x (- (* 1/2 (/ s x)) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))>
#<alt (* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))>
#<alt (* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/6 x) (* 1/2 s))>
#<alt (+ (* -1/6 x) (* 1/2 s))>
#<alt (+ (* -1/6 x) (* 1/2 s))>
#<alt (* 1/2 s)>
#<alt (* s (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* s (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* s (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* 1/2 s)>
#<alt (* -1 (* s (- (* 1/6 (/ x s)) 1/2)))>
#<alt (* -1 (* s (- (* 1/6 (/ x s)) 1/2)))>
#<alt (* -1 (* s (- (* 1/6 (/ x s)) 1/2)))>
Calls

135 calls:

TimeVariablePointExpression
6.0ms
s
@0
(* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1))
2.0ms
x
@-inf
(* (/ x s) 1/4)
2.0ms
s
@0
(+ (* (* x x) (/ -1/48 (* s s))) 1/4)
2.0ms
x
@inf
(/ (+ (* x (+ (* x -1/6) (* s 1/2))) (* s (neg s))) (* s (* s s)))
1.0ms
x
@0
(* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1))

simplify439.0ms (4.6%)

Memory
15.7MiB live, 664.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 542×lower-fma.f64
10 542×lower-fma.f32
4 940×lower-*.f64
4 940×lower-*.f32
2 604×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06335943
119785403
262575270
084034904
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
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)))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
1/2
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
1/2
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(* -1/2 (/ s x))
(/ (+ (* -1/2 s) (* -1/2 x)) x)
(/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)
(/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x))))) (pow s 3))) (+ (* -1/3 (/ x (pow s 2))) (+ (* 1/2 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/3 x))) s)) (+ (* -1/3 (/ (pow x 2) s)) (* 1/6 (/ (pow x 2) s)))) (+ (* -1/2 x) (* 1/3 x))) s)) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -2 (/ x s))
(* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(* -2 (/ x s))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(* -2 (/ x s))
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ 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)))
(+ 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 (/ x s))
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(* 1/4 (/ x s))
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(* 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))
(/ 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
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1/2
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(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
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2
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2
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2
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2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 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
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2
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(* -1 (/ x s))
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(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(* -1 (/ x s))
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(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
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(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
1/2
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(/ 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)))))
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(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
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(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 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)))
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(+ 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)))
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))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 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 (- (* 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 (+ (* -1 x) (* 2 s)))))) (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 s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(- (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))) 1)
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (* s x))
(* x (+ (* -1 s) (* 1/2 x)))
(* x (+ (* -1 s) (* 1/2 x)))
(* x (+ (* -1 s) (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* 1/2 (pow x 2))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(* -1 (* s x))
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(* -1 (* s x))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(* 1/2 s)
(+ (* -1/6 x) (* 1/2 s))
(+ (* -1/6 x) (* 1/2 s))
(+ (* -1/6 x) (* 1/2 s))
(* -1/6 x)
(* x (- (* 1/2 (/ s x)) 1/6))
(* x (- (* 1/2 (/ s x)) 1/6))
(* x (- (* 1/2 (/ s x)) 1/6))
(* -1/6 x)
(* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))
(* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))
(* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))
(* -1/6 x)
(+ (* -1/6 x) (* 1/2 s))
(+ (* -1/6 x) (* 1/2 s))
(+ (* -1/6 x) (* 1/2 s))
(* 1/2 s)
(* s (+ 1/2 (* -1/6 (/ x s))))
(* s (+ 1/2 (* -1/6 (/ x s))))
(* s (+ 1/2 (* -1/6 (/ x s))))
(* 1/2 s)
(* -1 (* s (- (* 1/6 (/ x s)) 1/2)))
(* -1 (* s (- (* 1/6 (/ x s)) 1/2)))
(* -1 (* s (- (* 1/6 (/ x s)) 1/2)))
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 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
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(*.f32 (*.f32 x x) (-.f32 #s(literal 1/2 binary32) (/.f32 s x)))
(* 1/2 (pow x 2))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1/2 binary32) (/.f32 s x)))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1/2 binary32) (/.f32 s x)))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(*.f32 (*.f32 x x) (-.f32 #s(literal 1/2 binary32) (/.f32 s x)))
(* 1/2 (pow x 2))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))
(* -1 (* s x))
(*.f32 x (neg.f32 s))
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(neg.f32 (*.f32 s (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x)))
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(neg.f32 (*.f32 s (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x)))
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(neg.f32 (*.f32 s (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x)))
(* -1 (* s x))
(*.f32 x (neg.f32 s))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(neg.f32 (*.f32 s (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x)))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(neg.f32 (*.f32 s (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x)))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(neg.f32 (*.f32 s (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x)))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(* 1/2 s)
(*.f32 #s(literal 1/2 binary32) s)
(+ (* -1/6 x) (* 1/2 s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))
(+ (* -1/6 x) (* 1/2 s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))
(+ (* -1/6 x) (* 1/2 s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* x (- (* 1/2 (/ s x)) 1/6))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)))
(* x (- (* 1/2 (/ s x)) 1/6))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)))
(* x (- (* 1/2 (/ s x)) 1/6))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))
(*.f32 (neg.f32 x) (fma.f32 s (/.f32 #s(literal -1/2 binary32) x) #s(literal 1/6 binary32)))
(* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))
(*.f32 (neg.f32 x) (fma.f32 s (/.f32 #s(literal -1/2 binary32) x) #s(literal 1/6 binary32)))
(* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))
(*.f32 (neg.f32 x) (fma.f32 s (/.f32 #s(literal -1/2 binary32) x) #s(literal 1/6 binary32)))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(+ (* -1/6 x) (* 1/2 s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))
(+ (* -1/6 x) (* 1/2 s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))
(+ (* -1/6 x) (* 1/2 s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))
(* 1/2 s)
(*.f32 #s(literal 1/2 binary32) s)
(* s (+ 1/2 (* -1/6 (/ x s))))
(*.f32 s (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* s (+ 1/2 (* -1/6 (/ x s))))
(*.f32 s (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* s (+ 1/2 (* -1/6 (/ x s))))
(*.f32 s (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* 1/2 s)
(*.f32 #s(literal 1/2 binary32) s)
(* -1 (* s (- (* 1/6 (/ x s)) 1/2)))
(*.f32 s (neg.f32 (fma.f32 (/.f32 x s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))))
(* -1 (* s (- (* 1/6 (/ x s)) 1/2)))
(*.f32 s (neg.f32 (fma.f32 (/.f32 x s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))))
(* -1 (* s (- (* 1/6 (/ x s)) 1/2)))
(*.f32 s (neg.f32 (fma.f32 (/.f32 x s) #s(literal 1/6 binary32) #s(literal -1/2 binary32))))

rewrite398.0ms (4.2%)

Memory
-17.6MiB live, 657.2MiB allocated
Rules
4 300×lower-*.f64
4 284×lower-*.f32
4 024×lower-fma.f64
4 012×lower-fma.f32
3 242×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068412
0107404
1499394
24223394
08561380
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 514
Calls
Call 1
Inputs
(*.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) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(/.f32 (-.f32 (neg.f32 x) x) s)
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 x 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 (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 (+ (* (/ 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)))
(/.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)))
(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 x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))
(*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (exp.f32 (/.f32 x (neg.f32 s)))) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
(+.f32 (*.f32 (exp.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (exp.f32 (/.f32 x (neg.f32 s))) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (*.f32 (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (*.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal -1 binary32)) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(/.f32 (*.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 (*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 (*.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 x (neg.f32 s))))
(*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.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 x (neg.f32 s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(*.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(neg.f32 (/.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(exp.f32 (*.f32 (log.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
(pow.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
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(/.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (+.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))
(*.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(*.f32 (/.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(*.f32 (/.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(expm1.f32 (/.f32 x (neg.f32 s)))
(expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(expm1.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))))))
(expm1.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(expm1.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(expm1.f32 (*.f32 (log.f32 (pow.f32 (E.f32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 2 binary32)))
(expm1.f32 (*.f32 (log.f32 (pow.f32 (E.f32) (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(expm1.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(expm1.f32 (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 2 binary32)))
(expm1.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))))))
(+.f32 (*.f32 x (neg.f32 s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x (neg.f32 s)))
(fma.f32 x (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (neg.f32 s)))
(fma.f32 (neg.f32 x) s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s)))
(fma.f32 #s(literal -1 binary32) (*.f32 s x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(fma.f32 (neg.f32 s) x (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 x (neg.f32 s)))
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) x (*.f32 x (neg.f32 s)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 (*.f32 x (neg.f32 s)) (*.f32 x (neg.f32 s))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x (neg.f32 s))))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 (*.f32 x (neg.f32 s)) (*.f32 x (neg.f32 s)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x (neg.f32 s))))
(/.f32 (*.f32 x (fma.f32 s (*.f32 s s) (*.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x))))) (fma.f32 (neg.f32 s) (-.f32 (neg.f32 s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 (*.f32 x (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 s (neg.f32 s)))) (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s)))
(/.f32 (*.f32 (fma.f32 s (*.f32 s s) (*.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x)))) x) (fma.f32 (neg.f32 s) (-.f32 (neg.f32 s) (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 s (neg.f32 s))) x) (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s)))
(*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
(*.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) x)
(neg.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 s s) #s(literal -48 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 s s) #s(literal -48 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -48 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (/.f32 #s(literal -1/48 binary32) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) #s(literal -48 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 s s) #s(literal -48 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal -1/48 binary32) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 s s) #s(literal -48 binary32))))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/.f32 #s(literal 1/48 binary32) (*.f32 s (neg.f32 s)))
(/.f32 (/.f32 #s(literal -1/48 binary32) s) s)
(/.f32 (neg.f32 (/.f32 #s(literal -1/48 binary32) s)) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1/48 binary32) s) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)))
(*.f32 #s(literal -1/48 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 #s(literal 1/48 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (neg.f32 s))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/48 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/48 binary32) s))
(*.f32 (/.f32 #s(literal -1/48 binary32) s) (/.f32 #s(literal 1 binary32) s))
(+.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32)))
(+.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s #s(literal 1/2 binary32)))
(pow.f32 (/.f32 (fma.f32 (*.f32 s #s(literal 1/2 binary32)) (-.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/8 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) s)) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s)))) #s(literal -1 binary32))
(fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))
(fma.f32 s #s(literal 1/2 binary32) (*.f32 x #s(literal -1/6 binary32)))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))
(fma.f32 #s(literal -1/6 binary32) x (*.f32 s #s(literal 1/2 binary32)))
(-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) s))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 s s)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 s #s(literal 1/2 binary32)) (-.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/8 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) s)) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s)))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/8 binary32))) (fma.f32 (*.f32 s #s(literal 1/2 binary32)) (-.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) #s(literal 1/36 binary32))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/8 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 s s) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) s)))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/8 binary32)))) (neg.f32 (fma.f32 (*.f32 s #s(literal 1/2 binary32)) (-.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) #s(literal 1/36 binary32)))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s)))) (neg.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) s))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 s s)) (*.f32 (*.f32 x x) #s(literal 1/36 binary32))) (-.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))))
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/8 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 s #s(literal 1/2 binary32)) (-.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) #s(literal 1/36 binary32)))))
(*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) s))))

eval110.0ms (1.2%)

Memory
7.2MiB live, 284.3MiB allocated
Compiler

Compiled 22 622 to 2 220 computations (90.2% saved)

prune133.0ms (1.4%)

Memory
-0.2MiB live, 397.1MiB allocated
Pruning

40 alts after pruning (26 fresh and 14 done)

PrunedKeptTotal
New1 087101 097
Fresh21618
Picked055
Done099
Total1 089401 129
Accuracy
100.0%
Counts
1 129 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓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))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓44.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
52.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
61.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
✓57.5%
(/.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))))
41.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
56.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
✓48.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
55.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s s)) s)) #s(literal 2 binary32))))
26.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s s))) (*.f32 (*.f32 s (*.f32 s s)) (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s s))))) #s(literal 2 binary32))))
46.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
46.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
48.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (neg.f32 (fma.f32 s s (neg.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
41.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
26.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))) #s(literal -4 binary32)) (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)))))
✓41.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
41.4%
(/.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)))))
20.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s)))))
✓34.8%
(/.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)))))
24.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
33.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 x s)))))
35.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))))
35.9%
(/.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 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))))))
✓38.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))))
32.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))))
33.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))))
32.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
✓63.2%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
27.9%
(*.f32 #s(approx (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (neg.f32 (*.f32 s (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/6 binary32) #s(literal 1/2 binary32)) s))))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓29.1%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
✓7.2%
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) #s(approx (+ (* x (/ 1/4 s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
26.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓18.8%
#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)))
21.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal -48 binary32))) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
21.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(approx (+ (* (* x x) (/ -1/48 (* s s))) 1/4) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) #s(literal 1/2 binary32)))
3.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x s))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))))
✓34.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 725 to 699 computations (59.5% saved)

regimes97.0ms (1%)

Memory
-20.9MiB live, 233.3MiB allocated
Counts
53 → 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
(/.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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.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 (*.f32 x x) (*.f32 s 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 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.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 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 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 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x 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 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.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)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal -48 binary32))) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.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))) (+.f32 (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))) (*.f32 x (*.f32 x x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 x (*.f32 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)))) (fma.f32 (/.f32 x s) #s(approx (+ (* (* x x) (/ -1/48 (* s s))) 1/4) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (neg.f32 (fma.f32 s s (neg.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s s)) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) (*.f32 s s)) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.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)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x s))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #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))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s s))) (*.f32 (*.f32 s (*.f32 s s)) (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s s))))) #s(literal 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 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))) #s(literal -4 binary32)) (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))) (/.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 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.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 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s))))))
(*.f32 #s(approx (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (neg.f32 (*.f32 s (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/6 binary32) #s(literal 1/2 binary32)) s))))) (expm1.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)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

15.0ms
(neg.f32 x)
14.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
14.0ms
s
14.0ms
(/.f32 (neg.f32 x) s)
13.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes137.0ms (1.4%)

Memory
20.2MiB live, 175.6MiB allocated
Counts
46 → 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
(/.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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.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 (*.f32 x x) (*.f32 s 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 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.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 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 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 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x 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 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.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)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal -48 binary32))) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.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))) (+.f32 (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))) (*.f32 x (*.f32 x x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 x (*.f32 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)))) (fma.f32 (/.f32 x s) #s(approx (+ (* (* x x) (/ -1/48 (* s s))) 1/4) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (neg.f32 (fma.f32 s s (neg.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s s)) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) (*.f32 s s)) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.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)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x s))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #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))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s s))) (*.f32 (*.f32 s (*.f32 s s)) (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s s))))) #s(literal 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 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)) #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))) #s(literal -4 binary32)) (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))) (/.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 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #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 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
Calls

7 calls:

51.0ms
(/.f32 (neg.f32 x) s)
25.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
14.0ms
x
13.0ms
s
12.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
68.6%2x
61.2%1s
69.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
69.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
69.5%2(exp.f32 (/.f32 (neg.f32 x) s))
69.5%2(/.f32 (neg.f32 x) s)
68.6%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes63.0ms (0.7%)

Memory
6.5MiB live, 123.7MiB allocated
Counts
38 → 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
(/.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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.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 (*.f32 x x) (*.f32 s 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 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.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 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 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 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x 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 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.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)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal -48 binary32))) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.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))) (+.f32 (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))) (*.f32 x (*.f32 x x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 x (*.f32 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)))) (fma.f32 (/.f32 x s) #s(approx (+ (* (* x x) (/ -1/48 (* s s))) 1/4) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (neg.f32 (fma.f32 s s (neg.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s s)) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) (*.f32 s s)) (+.f32 (/.f32 x (neg.f32 s)) #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

6 calls:

12.0ms
x
11.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
10.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
10.0ms
(neg.f32 x)
10.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
68.1%2x
68.1%2(neg.f32 x)
68.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
68.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
68.3%2(exp.f32 (/.f32 (neg.f32 x) s))
68.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes59.0ms (0.6%)

Memory
-5.1MiB live, 114.0MiB allocated
Counts
34 → 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
(/.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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.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 (*.f32 x x) (*.f32 s 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 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.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 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 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 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x 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 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.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)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal -48 binary32))) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.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))) (+.f32 (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))) (*.f32 x (*.f32 x x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 x (*.f32 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)))) (fma.f32 (/.f32 x s) #s(approx (+ (* (* x x) (/ -1/48 (* s s))) 1/4) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (neg.f32 (fma.f32 s s (neg.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal -1 binary32) s)) #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)) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
Calls

6 calls:

13.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
10.0ms
(/.f32 (neg.f32 x) s)
10.0ms
x
9.0ms
(neg.f32 x)
7.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
67.8%2x
67.8%2(neg.f32 x)
68.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
68.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
68.0%2(exp.f32 (/.f32 (neg.f32 x) s))
68.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes65.0ms (0.7%)

Memory
-19.9MiB live, 126.4MiB 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
(/.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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.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 (*.f32 x x) (*.f32 s 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 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.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 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 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 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x 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 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.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)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal -48 binary32))) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.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))) (+.f32 (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))) (*.f32 x (*.f32 x x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 x (*.f32 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)))) (fma.f32 (/.f32 x s) #s(approx (+ (* (* x x) (/ -1/48 (* s s))) 1/4) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (neg.f32 (fma.f32 s s (neg.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))) (*.f32 s (*.f32 s s)))) #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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
Calls

6 calls:

22.0ms
x
9.0ms
(neg.f32 x)
8.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(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
65.5%2x
65.5%2(neg.f32 x)
65.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.6%2(exp.f32 (/.f32 (neg.f32 x) s))
65.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes9.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
31 → 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
(/.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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.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 (*.f32 x x) (*.f32 s 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 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.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 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 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 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x 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 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.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)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal -48 binary32))) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.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))) (+.f32 (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))) (*.f32 x (*.f32 x x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 x (*.f32 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)))) (fma.f32 (/.f32 x s) #s(approx (+ (* (* x x) (/ -1/48 (* s s))) 1/4) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
Calls

1 calls:

8.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
65.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-17.9MiB live, 21.2MiB allocated
Counts
30 → 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
(/.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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.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 (*.f32 x x) (*.f32 s 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 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.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 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 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 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x 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 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.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)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal -48 binary32))) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.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))) (+.f32 (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))) (*.f32 x (*.f32 x x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 x (*.f32 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)))) (fma.f32 (/.f32 x s) #s(approx (+ (* (* x x) (/ -1/48 (* s s))) 1/4) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) #s(literal 1/2 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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
Calls

1 calls:

8.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
65.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes42.0ms (0.4%)

Memory
7.6MiB live, 85.2MiB allocated
Counts
25 → 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
(/.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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.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 (*.f32 x x) (*.f32 s 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 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.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 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 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 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x 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 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.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)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal -48 binary32))) #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 (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2) (/.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))) (+.f32 (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) 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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))))
Calls

6 calls:

9.0ms
(neg.f32 x)
7.0ms
x
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
64.0%2x
64.0%2(neg.f32 x)
65.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.3%2(exp.f32 (/.f32 (neg.f32 x) s))
65.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes27.0ms (0.3%)

Memory
-20.5MiB live, 59.3MiB 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
(/.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))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s)))))
Calls

7 calls:

5.0ms
x
5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
s
4.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
52.7%2x
52.7%2(neg.f32 x)
41.4%1s
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))
53.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes19.0ms (0.2%)

Memory
5.7MiB live, 44.8MiB 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 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))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
Calls

6 calls:

4.0ms
(neg.f32 x)
3.0ms
x
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
49.4%2x
49.4%2(neg.f32 x)
50.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.0%2(exp.f32 (/.f32 (neg.f32 x) s))
50.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes15.0ms (0.2%)

Memory
-3.3MiB live, 35.9MiB allocated
Counts
5 → 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (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))) #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:

3.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
48.4%2x
48.4%2(neg.f32 x)
48.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
48.5%2(exp.f32 (/.f32 (neg.f32 x) s))
48.5%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes17.0ms (0.2%)

Memory
4.0MiB live, 44.2MiB allocated
Accuracy

Total -8.9b remaining (-42.6%)

Threshold costs -8.9b (-42.6%)

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

7 calls:

2.0ms
s
2.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
34.9%1s
34.9%1x
34.9%1(neg.f32 x)
34.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
34.9%1(exp.f32 (/.f32 (neg.f32 x) s))
34.9%1(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.083585262298584
-1.9285002946853638
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.7418686184100807e-5
3.412971636862494e-5
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.7418686184100807e-5
3.412971636862494e-5
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
391365.96875
1025739.6875
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
391365.96875
1025739.6875
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
391365.96875
1025739.6875
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1237326860427856
4.9558281898498535
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
391365.96875
1025739.6875
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.2771564722061157
-0.0216506477445364
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
1.1237326860427856
4.9558281898498535
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify14.0ms (0.1%)

Memory
-12.6MiB live, 26.3MiB allocated
Algorithm
1×egg-herbie
Rules
32×*-commutative_binary32
14×+-commutative_binary32
12×sub-neg_binary32
10×neg-sub0_binary32
10×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116536
1141536
2155536
3164536
4167536
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.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 -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2748779/137438953472 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 2748779/137438953472 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)) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.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))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 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) (+.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)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2748779/137438953472 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 x (neg.f32 s)) #s(literal 2748779/137438953472 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 2748779/137438953472 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)) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 2748779/137438953472 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)) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 500000 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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) (*.f32 s (neg.f32 s))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 500000 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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 500000 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 #s(approx (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 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 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 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 #s(approx (* x (+ (* x 1/2) (neg s))) (*.f32 x (neg.f32 s))) (*.f32 s s))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 500000 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 #s(approx (* x (+ (* x 1/2) (neg s))) (neg.f32 (*.f32 x s))) (*.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))) (-.f32 #s(literal 2 binary32) (/.f32 x 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 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 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 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))

soundness1.7s (17.7%)

Memory
19.5MiB live, 933.0MiB allocated
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
17 602×lower-fma.f64
17 602×lower-fma.f32
12 966×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04235716
113015333
240464851
081874628
050361
078361
1353351
22889341
08152331
06335943
119785403
262575270
084034904
03164409
19863288
229223207
375073115
084872938
0140758
1378748
21147742
33893722
08438682
Stop Event
1×fuel
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
Compiler

Compiled 376 to 166 computations (55.9% saved)

preprocess53.0ms (0.6%)

Memory
21.1MiB live, 136.6MiB allocated
Compiler

Compiled 566 to 164 computations (71% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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