Logistic function

Time bar (total: 11.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze38.0ms (0.3%)

Memory
-2.2MiB live, 75.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.1s (9.8%)

Memory
-144.3MiB live, 1 658.9MiB allocated
Samples
655.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 476.0ms
ival-div: 129.0ms (27.1% of total)
const: 123.0ms (25.9% of total)
ival-exp: 64.0ms (13.5% of total)
ival-<=: 47.0ms (9.9% of total)
ival-neg: 46.0ms (9.7% of total)
ival-add: 41.0ms (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

preprocess34.0ms (0.3%)

Memory
-9.8MiB live, 67.1MiB 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)))))

explain140.0ms (1.2%)

Memory
-10.4MiB live, 187.1MiB 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)))
04(2.3390737028255442e-30 5.5807248174020744e-33)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))sensitivity42
Confusion
Predicted +Predicted -
+00
-4252
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-42250
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0252
14
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
73.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

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

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB 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

localize28.0ms (0.2%)

Memory
-19.5MiB live, 59.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓accuracy99.8%
(exp.f32 (/.f32 (neg.f32 x) s))
Samples
17.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (36.5% of total)
ival-exp: 2.0ms (24.3% of total)
ival-add: 1.0ms (12.2% of total)
ival-neg: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))>
#<alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))>
#<alt (exp.f32 (/.f32 (neg.f32 x) s))>
#<alt (/.f32 (neg.f32 x) s)>
#<alt (neg.f32 x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

27 calls:

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

simplify780.0ms (6.6%)

Memory
-7.3MiB live, 1 426.2MiB 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)

rewrite300.0ms (2.6%)

Memory
24.6MiB live, 775.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 358×lower-/.f64
4 354×lower-/.f32
3 830×lower-fma.f64
3 830×lower-fma.f32
3 688×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
14827
225527
3210127
0846526
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 710
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))))) #s(literal -1 binary32)) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal -1 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32)) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
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eval128.0ms (1.1%)

Memory
1.0MiB live, 267.8MiB allocated
Compiler

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

prune126.0ms (1.1%)

Memory
7.6MiB live, 454.0MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New80612818
Fresh000
Picked011
Done000
Total80613819
Accuracy
100.0%
Counts
819 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
49.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶55.6%
(/.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))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
▶40.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶56.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
63.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
21.9%
#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)))
30.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
▶35.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 399 to 252 computations (36.8% saved)

simplify351.0ms (3%)

Memory
-34.6MiB live, 627.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
✓cost-diff64
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
✓cost-diff64
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
✓cost-diff320
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
✓cost-diff0
(exp.f32 (/.f32 x s))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓cost-diff288
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
Rules
10 580×lower-fma.f64
10 574×lower-fma.f32
2 394×lower-*.f64
2 388×lower-*.f32
1 338×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036330
059309
198309
2171309
3280302
4451302
5730302
61544302
73477302
85119302
96922302
107987302
08005287
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) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 (*.f32 x (*.f32 x x)) s)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
s
#s(literal -1/6 binary32)
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.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) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (/.f32 x s))
(/.f32 x s)
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 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (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 (/.f32 x s) #s(literal 1/2 binary32) #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 (/.f32 x s) #s(literal 1/2 binary32) #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 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 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))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 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)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(fma.f32 (/.f32 x s) (fma.f32 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 2 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)
(*.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)))
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
(*.f32 x (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)))
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(*.f32 (*.f32 x x) (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s))
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(/.f32 (*.f32 x (*.f32 x x)) s)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
s
#s(literal -1/6 binary32)
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)

localize119.0ms (1%)

Memory
5.7MiB live, 238.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy94.1%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy89.7%
(/.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)
✓accuracy89.6%
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓accuracy58.1%
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
✓accuracy99.7%
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓accuracy99.7%
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓accuracy60.1%
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓accuracy56.9%
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy64.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
✓accuracy99.8%
(exp.f32 (/.f32 x s))
Samples
40.0ms175×0valid
24.0ms81×0exit
Compiler

Compiled 256 to 34 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 18.0ms (38% of total)
ival-mult: 11.0ms (23.2% of total)
ival-add: 7.0ms (14.8% of total)
ival-exp: 4.0ms (8.4% of total)
const: 4.0ms (8.4% of total)
ival-sub: 2.0ms (4.2% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
-5.0MiB live, 71.9MiB allocated
Counts
20 → 480
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))>
#<alt (exp.f32 (/.f32 x s))>
#<alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))>
#<alt (-.f32 #s(literal 2 binary32) (/.f32 x s))>
#<alt (/.f32 x s)>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))>
#<alt (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))>
#<alt (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))>
#<alt (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))>
#<alt (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))>
#<alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))>
#<alt (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)>
#<alt (/.f32 (*.f32 x (*.f32 x x)) s)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
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#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
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#<alt 1>
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#<alt 1>
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#<alt 1/2>
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#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt 1/2>
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#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
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#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
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#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
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#<alt (+ 1 (/ 1 (exp (/ x s))))>
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#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt 2>
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#<alt (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 2>
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#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))>
#<alt 1>
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#<alt (exp (/ x s))>
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#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
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#<alt (exp (/ x s))>
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#<alt 1>
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#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1/2>
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#<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>
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#<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)))>
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#<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>
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#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
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#<alt (+ 1 (exp (* -1 (/ x s))))>
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#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
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#<alt 2>
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#<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>
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#<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))))>
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#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
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#<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>
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#<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))>
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#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
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#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (* 1/2 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ x s))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* 1/2 (/ x s))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
Calls

120 calls:

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

simplify386.0ms (3.3%)

Memory
10.3MiB live, 606.1MiB allocated
Algorithm
1×egg-herbie
Rules
14 532×lower-fma.f64
14 532×lower-fma.f32
5 172×lower-*.f64
5 172×lower-*.f32
3 288×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03834835
111884468
239854320
083024119
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
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))))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (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 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
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 (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
1
(+ 1 (/ x s))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
1
(+ 1 (/ x s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
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(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
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(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x 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 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) 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 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ 1 (exp (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal -1/3 binary32) (*.f32 x (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) 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) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)))) s) x) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #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 x) (*.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 x (*.f32 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 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
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1/2
#s(literal 1/2 binary32)
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2
#s(literal 2 binary32)
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#s(literal 2 binary32)
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(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
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2
#s(literal 2 binary32)
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#s(literal 1 binary32)
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(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
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(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
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(exp (/ x s))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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1/2
#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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2
#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 1/2 binary32)
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#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 2 binary32)
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(*.f32 x (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 x (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 x (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)

rewrite326.0ms (2.8%)

Memory
9.0MiB live, 593.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 906×lower-*.f64
4 900×lower-*.f32
4 832×lower-/.f64
4 814×lower-/.f32
3 164×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036271
059254
1255254
21848254
08827254
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 638
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 (/.f32 x s) (/.f32 x s))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (exp.f32 x) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #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 #s(literal 1 binary32)) (/.f32 x (neg.f32 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) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 x s))))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 x s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(*.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (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))))
(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)))
(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 -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(/.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 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.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 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 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 x s) #s(literal -2 binary32))))) (-.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 x s) #s(literal -2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (-.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 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #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 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x 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) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))) (*.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))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (neg.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (neg.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)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
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(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)) (/.f32 (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))))) (*.f32 s (*.f32 s s))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)))))
(*.f32 (pow.f32 (/.f32 s (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32))))
(/.f32 (*.f32 x (*.f32 x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(*.f32 x (/.f32 (*.f32 x x) s))
(*.f32 (*.f32 x x) (/.f32 x s))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 x x) s) x)

eval133.0ms (1.1%)

Memory
35.3MiB live, 311.1MiB allocated
Compiler

Compiled 35 834 to 3 415 computations (90.5% saved)

prune213.0ms (1.8%)

Memory
-23.0MiB live, 333.3MiB allocated
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1 298271 325
Fresh257
Picked235
Done011
Total1 302361 338
Accuracy
100.0%
Counts
1 338 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
49.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
▶55.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
46.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)))))))
59.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
62.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s) x) s))))))
▶62.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
61.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
38.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)))) s) x) s))))
55.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
53.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
41.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
▶56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #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 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))
57.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
✓40.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
40.6%
(/.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)))))
47.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (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 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))))
54.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
51.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
18.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
34.7%
(/.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 (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
34.3%
(/.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 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
32.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))))
32.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
32.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
63.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶30.4%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
18.1%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
21.9%
#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)))
✓35.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 383 to 824 computations (40.4% saved)

simplify400.0ms (3.4%)

Memory
13.4MiB live, 503.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
✓cost-diff160
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s))
✓cost-diff320
(fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
✓cost-diff64
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))
✓cost-diff0
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
✓cost-diff0
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
✓cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
✓cost-diff0
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #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
19 568×lower-fma.f64
19 554×lower-fma.f32
4 132×lower-*.f64
4 124×lower-*.f32
1 976×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051478
086459
1146453
2273450
3470450
41044450
51614445
62413438
73788437
87868437
08017419
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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
x
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 (/.f32 (fma.f32 (/.f32 x 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 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
x
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
(/.f32 x s)
s
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))
(/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x)
x
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 x s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))
x
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s))
(fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(/.f32 x (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s s))
s
(*.f32 s s)
#s(literal 1/6 binary32)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) s)
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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (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))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 x s)
x
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 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
x
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
(/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(/.f32 x s)
s
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s) #s(literal 1 binary32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))
#s(approx (exp (/ x s)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s) #s(literal 1 binary32))
(/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x)
x
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 x s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (/.f32 (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) #s(literal 1 binary32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (/.f32 (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) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (/.f32 (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) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (fma.f32 x (/.f32 (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) #s(literal 1 binary32)))
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))
(fma.f32 x (/.f32 (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) #s(literal 1 binary32))
x
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s))
(/.f32 (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)
(fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(/.f32 (fma.f32 x (/.f32 #s(literal 1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s))
(/.f32 x (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s s))
s
(*.f32 s s)
#s(literal 1/6 binary32)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) s)

localize233.0ms (2%)

Memory
1.6MiB live, 264.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy95.5%
(fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
✓accuracy94.6%
(/.f32 x (*.f32 s (*.f32 s s)))
✓accuracy89.1%
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s))
✓accuracy87.6%
#s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))
✓accuracy99.8%
(/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)
✓accuracy99.8%
(fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x)
✓accuracy99.7%
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
✓accuracy81.1%
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))
✓accuracy99.7%
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
✓accuracy99.7%
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
✓accuracy96.9%
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
✓accuracy60.1%
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.5%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
✓accuracy60.8%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓accuracy99.9%
(/.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))))
✓accuracy99.9%
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
✓accuracy99.8%
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
✓accuracy99.7%
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
Samples
87.0ms175×0valid
24.0ms81×0exit
Compiler

Compiled 319 to 48 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 17.0ms (29.2% of total)
ival-mult: 15.0ms (25.8% of total)
ival-add: 12.0ms (20.6% of total)
ival-exp: 6.0ms (10.3% of total)
const: 4.0ms (6.9% of total)
ival-pow2: 2.0ms (3.4% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (0.7%)

Memory
-15.5MiB live, 111.8MiB allocated
Counts
27 → 648
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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))>
#<alt (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))>
#<alt (/.f32 x s)>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))>
#<alt (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))>
#<alt (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))>
#<alt (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))>
#<alt (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))))>
#<alt (*.f32 (/.f32 x s) #s(literal -1/2 binary32))>
#<alt (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))>
#<alt #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))>
#<alt (*.f32 (/.f32 x s) #s(literal 1/2 binary32))>
#<alt (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x)>
#<alt (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)>
#<alt #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))>
#<alt (/.f32 x (*.f32 s (*.f32 s s)))>
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)))>
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#<alt 1>
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#<alt 1/2>
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#<alt 1/2>
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#<alt 1/2>
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#<alt (* 1/4 (/ x s))>
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#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt 1/2>
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#<alt 1/2>
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#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ 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)>
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#<alt (/ x s)>
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#<alt 1/2>
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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)))))>
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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)))))>
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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)))))>
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#<alt 1/2>
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#<alt 2>
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#<alt 2>
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#<alt 2>
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#<alt 2>
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#<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))>
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#<alt 2>
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#<alt 2>
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#<alt (/ -1 s)>
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#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ -1 s)>
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#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt 1>
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#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))>
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#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ s x))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ s x))) (pow s 2))>
#<alt 1>
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#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))>
#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))>
#<alt 1/2>
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#<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 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
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#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
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#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt 2>
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#<alt (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 2>
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#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))>
#<alt 1>
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#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
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#<alt (/ 1 (exp (/ x s)))>
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#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt (/ 1 (exp (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))>
#<alt (/ 1/2 (pow s 2))>
#<alt (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (* 1/6 (/ x (pow s 3)))>
#<alt (* x (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* x (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* x (+ (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* 1/6 (/ x (pow s 3)))>
#<alt (* x (+ (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))>
#<alt (* x (+ (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))>
#<alt (* x (+ (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))>
#<alt (* 1/6 (/ x (pow s 3)))>
#<alt (/ (+ (* 1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ (+ (* 1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ (+ (* 1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* 1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* 1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* 1/6 (/ x s))) (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* 1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* 1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* 1/6 (/ x s))) (pow s 2))>
#<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 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 2) (+ (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<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 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 2) (+ (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 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 (+ s (* 1/2 x)))) (pow s 3))>
#<alt (/ (+ (* 1/6 (pow x 2)) (* s (+ s (* 1/2 x)))) (pow s 3))>
#<alt (/ 1 s)>
#<alt (/ (+ 1 (* 1/2 (/ x s))) s)>
#<alt (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s)))) s)>
#<alt (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s)))) s)>
#<alt (/ 1 s)>
#<alt (* -1 (/ (- (* -1/2 (/ x s)) 1) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/6 (/ (pow x 2) s)) (* 1/2 x)) s)) 1) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/6 (/ (pow x 2) s)) (* 1/2 x)) s)) 1) 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 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (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 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt (+ 1 (/ 1 (exp (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))>
#<alt (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 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 (/ x s))>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (* 1/2 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ x s))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* 1/2 (/ x s))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt 1>
#<alt (+ 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 (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) 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>
#<alt (* x (+ 1 (* 1/2 (/ x s))))>
#<alt (* x (+ 1 (* 1/2 (/ x s))))>
#<alt (* x (+ 1 (* 1/2 (/ x s))))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s x)) s)>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s x)) s)>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s x)) s)>
#<alt x>
#<alt (+ x (* 1/2 (/ (pow x 2) s)))>
#<alt (+ x (* 1/2 (/ (pow x 2) s)))>
#<alt (+ x (* 1/2 (/ (pow x 2) s)))>
#<alt x>
#<alt (+ x (* 1/2 (/ (pow x 2) s)))>
#<alt (+ x (* 1/2 (/ (pow x 2) s)))>
#<alt (+ x (* 1/2 (/ (pow x 2) s)))>
#<alt (/ x s)>
#<alt (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))>
#<alt (/ x s)>
#<alt (/ (+ x (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ x (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ x (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ x s)>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))>
#<alt 1>
#<alt (+ 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 (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt (exp (/ x s))>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))>
#<alt 1>
#<alt (+ 1 (/ x s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
Calls

162 calls:

TimeVariablePointExpression
13.0ms
s
@-inf
(+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s))
10.0ms
x
@-inf
(+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s))
1.0ms
x
@0
(+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))
1.0ms
s
@inf
(pow (exp (* (/ x s) -1/2)) 2)
1.0ms
x
@0
(/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))

simplify562.0ms (4.8%)

Memory
20.0MiB live, 731.1MiB allocated
Algorithm
1×egg-herbie
Rules
20 728×lower-fma.f64
20 728×lower-fma.f32
4 824×lower-*.f64
4 824×lower-*.f32
3 330×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04456627
113376055
241655474
084885140
Stop Event
1×iter limit
1×node limit
Counts
648 → 645
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))
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(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (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 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 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 (/ x s))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
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 (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
1
(+ 1 (/ x s))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
1
(+ 1 (/ x s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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 (/ x s))
x
(* x (+ 1 (* 1/2 (/ x s))))
(* x (+ 1 (* 1/2 (/ x s))))
(* x (+ 1 (* 1/2 (/ x s))))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* 1/2 (pow x 2)) (* s x)) s)
(/ (+ (* 1/2 (pow x 2)) (* s x)) s)
(/ (+ (* 1/2 (pow x 2)) (* s x)) s)
x
(+ x (* 1/2 (/ (pow x 2) s)))
(+ x (* 1/2 (/ (pow x 2) s)))
(+ x (* 1/2 (/ (pow x 2) s)))
x
(+ x (* 1/2 (/ (pow x 2) s)))
(+ x (* 1/2 (/ (pow x 2) s)))
(+ x (* 1/2 (/ (pow x 2) s)))
(/ x s)
(* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))
(/ x s)
(/ (+ x (* 1/2 (/ (pow x 2) s))) s)
(/ (+ x (* 1/2 (/ (pow x 2) s))) s)
(/ (+ x (* 1/2 (/ (pow x 2) s))) s)
(/ x s)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))
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 (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
1
(+ 1 (/ x s))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
1
(+ 1 (/ x s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
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 (*.f32 x #s(literal -1/6 binary32)) (*.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 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (neg.f32 (/.f32 x 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 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) 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)))
(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 (* -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 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x 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 x (/.f32 (*.f32 x #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 #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 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x 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))))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #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 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) 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 (*.f32 x #s(literal -1/6 binary32)) (*.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 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(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 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s 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 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(+ 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 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) 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)))))
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#s(literal 1/2 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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#s(literal 1/2 binary32)
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(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 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))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #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 x (/.f32 #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 x (/.f32 #s(literal 1/2 binary32) s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 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
#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 (/ x s))
(+.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 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 (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
1
#s(literal 1 binary32)
(+ 1 (/ x s))
(+.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) 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 (/ x s))
(+.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x) s))
(+ 1 (* -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 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) s)) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(* 1/2 (/ x s))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
x
(* x (+ 1 (* 1/2 (/ x s))))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(* x (+ 1 (* 1/2 (/ x s))))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(* x (+ 1 (* 1/2 (/ x s))))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(* 1/2 (/ (pow x 2) s))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(* 1/2 (/ (pow x 2) s))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(* 1/2 (/ (pow x 2) s))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))
(/ (+ (* 1/2 (pow x 2)) (* s x)) s)
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)
(/ (+ (* 1/2 (pow x 2)) (* s x)) s)
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)
(/ (+ (* 1/2 (pow x 2)) (* s x)) s)
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)
x
(+ x (* 1/2 (/ (pow x 2) s)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(+ x (* 1/2 (/ (pow x 2) s)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(+ x (* 1/2 (/ (pow x 2) s)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
x
(+ x (* 1/2 (/ (pow x 2) s)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(+ x (* 1/2 (/ (pow x 2) s)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(+ x (* 1/2 (/ (pow x 2) s)))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x)
(/ x s)
(/.f32 x s)
(* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s))
(* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s))
(* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s))
(* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s))
(/ x s)
(/.f32 x s)
(/ (+ x (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x) s)
(/ (+ x (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x) s)
(/ (+ x (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x) s)
(/ x s)
(/.f32 x s)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x) s)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x) s)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x) s)
1
#s(literal 1 binary32)
(+ 1 (/ x s))
(+.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 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 (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
1
#s(literal 1 binary32)
(+ 1 (/ x s))
(+.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) 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 (/ x s))
(+.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) x) s))
(+ 1 (* -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 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) s)) s))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))

rewrite351.0ms (3%)

Memory
14.3MiB live, 748.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 452×lower-/.f64
4 428×lower-/.f32
3 660×lower-*.f64
3 652×lower-*.f32
3 580×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051378
086365
1391356
22992356
08611356
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 864
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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))
(fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x)
(/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)
#s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))
(/.f32 x (*.f32 s (*.f32 s s)))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (+.f32 (/.f32 x s) (/.f32 x s)))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 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 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(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 (exp.f32 x) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(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 #s(literal 1 binary32)) (/.f32 x (neg.f32 s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (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(literal -1/2 binary32)) s)) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(*.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))
(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)))
(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 -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(/.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 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.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 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 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 x s) #s(literal -2 binary32))))) (-.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 x s) #s(literal -2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32)) (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 x (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (expm1.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 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #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 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x 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) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))) (*.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))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (neg.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (neg.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)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal 1 binary32))
(/.f32 (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 x (neg.f32 s))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))) (neg.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))) (/.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))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1/2 binary32))) (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (+.f32 (/.f32 x s) (/.f32 x s))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) x) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 x s))
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(*.f32 (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal 1/2 binary32)) x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
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(*.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal 1/2 binary32)) x) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(exp.f32 (log.f32 #s(approx (exp (/ x 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)))))
(pow.f32 #s(approx (exp (/ x 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))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x 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)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(approx (exp (/ x 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))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x 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)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x 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))))))
(/.f32 #s(approx (exp (/ x 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))) #s(literal 1 binary32))
(/.f32 (neg.f32 #s(approx (exp (/ x 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)))) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 #s(approx (exp (/ x 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))))) #s(literal 1 binary32))
#s(approx (exp (/ x 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)))
(*.f32 #s(approx (exp (/ x 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))) #s(literal 1 binary32))
(neg.f32 (/.f32 x (neg.f32 (*.f32 s (*.f32 s s)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 s (*.f32 s s)) x)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s s) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 s x) (*.f32 s s)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 s (*.f32 s s)))) (/.f32 x (neg.f32 (*.f32 s (*.f32 s s)))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (/.f32 x (neg.f32 (*.f32 s (*.f32 s s)))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 s s)) (/.f32 (/.f32 x (neg.f32 s)) (*.f32 s s)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 s s))) (/.f32 (/.f32 x s) (neg.f32 (*.f32 s s))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) (neg.f32 (*.f32 s s))) (/.f32 (/.f32 x s) (neg.f32 (*.f32 s s))))
(/.f32 x (*.f32 s (*.f32 s s)))
(/.f32 x (neg.f32 (neg.f32 (*.f32 s (*.f32 s s)))))
(/.f32 (/.f32 x s) (*.f32 s s))
(/.f32 (/.f32 x s) (neg.f32 (neg.f32 (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (/.f32 x s)))
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(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) x))))
(/.f32 (neg.f32 x) (neg.f32 (*.f32 s (*.f32 s s))))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 (neg.f32 (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s s) (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal 1 binary32))))
(/.f32 (/.f32 x (neg.f32 s)) (neg.f32 (*.f32 s s)))
(/.f32 (/.f32 x (*.f32 s s)) s)
(/.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 s (*.f32 s s)))
(/.f32 (/.f32 (/.f32 x s) s) s)
(/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 (*.f32 s (*.f32 s s))))
(/.f32 (neg.f32 (/.f32 x (*.f32 s s))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (/.f32 x s) s)) (neg.f32 s))
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(*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s (*.f32 s s))))
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(*.f32 #s(literal -1 binary32) (/.f32 x (neg.f32 (*.f32 s (*.f32 s s)))))
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x (neg.f32 s)) (*.f32 s s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x (*.f32 s s)))
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(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x)
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(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 x s))
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(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (neg.f32 x) (*.f32 s s)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 x (neg.f32 s)) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x (neg.f32 (*.f32 s s))))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 x s) (neg.f32 s)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (/.f32 (neg.f32 x) (*.f32 s s)))
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 x (pow.f32 s #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 s #s(literal 3/2 binary32))))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 s s)))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) s)) (*.f32 s s)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (/.f32 x (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 s #s(literal 3/2 binary32))) (/.f32 x (pow.f32 s #s(literal 3/2 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (pow.f32 s #s(literal 3/2 binary32))) (/.f32 (neg.f32 x) (pow.f32 s #s(literal 3/2 binary32))))
(*.f32 (/.f32 x (neg.f32 (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)) (/.f32 x (neg.f32 s)))
(*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
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eval256.0ms (2.2%)

Memory
19.6MiB live, 541.4MiB allocated
Compiler

Compiled 41 543 to 5 027 computations (87.9% saved)

prune211.0ms (1.8%)

Memory
-14.6MiB live, 755.9MiB allocated
Pruning

51 alts after pruning (45 fresh and 6 done)

PrunedKeptTotal
New1 689301 719
Fresh121527
Picked325
Done044
Total1 704511 755
Accuracy
100.0%
Counts
1 755 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x 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)))) #s(literal 1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32)) #s(literal 2 binary32))))
49.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
58.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) (*.f32 s s)) (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s))) #s(literal 1 binary32))))))
62.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)) #s(literal 1 binary32))))))
53.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) s) (*.f32 x (*.f32 x #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
63.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/6 binary32))) s)) (neg.f32 s))) #s(literal 1 binary32))))))
52.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 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 1 binary32))))))
51.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
60.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) 1/2)) x) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)) s))))))
61.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
56.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* x (* (/ x s) 1/2)) x) s) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s))))))))
40.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s)))))))
37.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s)))))))
37.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp (* (/ x s) -1/2)) 2)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 x s) #s(literal -1 binary32)))) s) x) s))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
54.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) s) #s(literal 2 binary32))))
41.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
55.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
54.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s 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 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))
57.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
✓40.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
40.6%
(/.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)))))
47.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (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 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))))
▶51.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
18.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
34.7%
(/.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 (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
34.3%
(/.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 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
▶32.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
32.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))))
32.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))))
▶32.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
63.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
18.5%
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
✓30.4%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
29.1%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
24.2%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))))
29.1%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))))
30.3%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
▶7.7%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
21.9%
#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)))
✓35.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 922 to 1 135 computations (40.9% saved)

simplify385.0ms (3.3%)

Memory
-12.7MiB live, 464.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
✓cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
✓cost-diff544
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
✓cost-diff0
(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
✓cost-diff0
(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))
✓cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
✓cost-diff0
(/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)
✓cost-diff0
#s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))
✓cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
✓cost-diff0
(*.f32 x #s(literal 1/4 binary32))
✓cost-diff0
(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
✓cost-diff0
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
✓cost-diff0
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
✓cost-diff0
(exp.f32 #s(literal 2 binary32))
✓cost-diff0
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))
Rules
7 426×lower-fma.f64
7 424×lower-fma.f32
3 908×lower-*.f64
3 888×lower-*.f32
2 304×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071665
0100605
1181605
2313605
3626581
41105581
51645581
62877581
75741581
08150553
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 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(exp.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(*.f32 x #s(literal -1/2 binary32))
x
#s(literal -1/2 binary32)
s
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
(*.f32 x #s(literal 1/4 binary32))
x
#s(literal 1/4 binary32)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))
#s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))
(/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)
(*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))
x
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))
#s(literal 2 binary32)
(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))
#s(literal -1/6 binary32)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(*.f32 s s)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
#s(literal 1/2 binary32)
(*.f32 x (*.f32 s s))
(*.f32 s s)
s
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
#s(literal -1/6 binary32)
(*.f32 s (*.f32 s s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))
(+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(exp.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (*.f32 x #s(literal -1/2 binary32)) s)
(*.f32 x #s(literal -1/2 binary32))
x
#s(literal -1/2 binary32)
s
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(*.f32 x #s(literal 1/4 binary32))
x
#s(literal 1/4 binary32)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s)))
#s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))
#s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s))
(/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)
(/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s)
(*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))
(*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)))
x
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))
(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))) s))
#s(literal 2 binary32)
(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))) s)
#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
#s(literal -1/6 binary32)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(*.f32 s s)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))))
#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
#s(literal 1/2 binary32)
(*.f32 x (*.f32 s s))
(*.f32 s s)
s
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
#s(literal -1/6 binary32)
(*.f32 s (*.f32 s s))

localize290.0ms (2.5%)

Memory
9.7MiB live, 360.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy77.2%
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
✓accuracy74.1%
#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
✓accuracy69.7%
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
✓accuracy58.1%
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
✓accuracy99.4%
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))
✓accuracy79.9%
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))
✓accuracy73.4%
#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
✓accuracy58.1%
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)))
✓accuracy99.7%
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
✓accuracy99.6%
(*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))
✓accuracy73.6%
#s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))
✓accuracy60.1%
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))
✓accuracy100.0%
(*.f32 x #s(literal 1/4 binary32))
✓accuracy100.0%
(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
✓accuracy72.1%
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
✓accuracy60.8%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
✓accuracy100.0%
(exp.f32 #s(literal 2 binary32))
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))
✓accuracy99.9%
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
Samples
138.0ms175×0valid
66.0ms81×0exit
Compiler

Compiled 367 to 60 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-div: 80.0ms (52.7% of total)
ival-mult: 38.0ms (25% of total)
ival-add: 12.0ms (7.9% of total)
ival-exp: 8.0ms (5.3% of total)
ival-pow: 5.0ms (3.3% of total)
const: 4.0ms (2.6% of total)
ival-neg: 2.0ms (1.3% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
10.7MiB live, 48.5MiB allocated
Counts
26 → 576
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))>
#<alt (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))>
#<alt (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))>
#<alt (exp.f32 #s(literal 2 binary32))>
#<alt #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))>
#<alt #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))>
#<alt (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)>
#<alt (*.f32 x #s(literal 1/4 binary32))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))>
#<alt #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))>
#<alt (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)))>
#<alt (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))>
#<alt (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)>
#<alt (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))>
#<alt #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))>
#<alt (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))>
#<alt (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))>
#<alt #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))>
#<alt (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))>
#<alt (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))>
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 1/2>
#<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 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (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 (* 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 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 (/ x s))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 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 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* 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))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 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) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -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 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x 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 (+ (* -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 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<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 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) 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 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<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))) (* 1/2 (/ (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 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<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 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<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) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<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)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 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 (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 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 (* s x)) (* 1/2 (pow x 2))) s)>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))>
#<alt (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))>
#<alt (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))>
#<alt (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))>
#<alt (+ (* -1 x) (* 1/2 (/ (pow x 2) 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 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ -1/6 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (/ -1/6 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
Calls

144 calls:

TimeVariablePointExpression
1.0ms
s
@0
(* (* x (* x x)) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))
1.0ms
x
@0
(* (* x (* x x)) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))
1.0ms
x
@-inf
(* (* x (* x x)) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))
1.0ms
x
@inf
(/ (* -1/6 (* x (* x x))) (* s s))
0.0ms
s
@inf
(* (* x (* x x)) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))

simplify477.0ms (4.1%)

Memory
5.9MiB live, 671.8MiB allocated
Algorithm
1×egg-herbie
Rules
20 430×lower-fma.f64
20 430×lower-fma.f32
5 058×lower-+.f64
5 058×lower-+.f32
3 958×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03396119
19975696
233115514
082225332
Stop Event
1×iter limit
1×node limit
Counts
576 → 576
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)))
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(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* 1/2 (/ x s)) 1))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 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 (* s x)) (* 1/2 (pow x 2))) s)
(* -1 x)
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(* -1 x)
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
-1
(- (* 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 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(/ 1/2 (* (pow s 2) x))
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 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 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.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 x (*.f32 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 (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))))))
(-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x 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 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) (*.f32 #s(literal 1/4 binary32) x)) 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))))
(+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)) 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 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)) s))
(+ 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 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
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 (/.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))))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)) 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 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)) s))
(+ 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 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 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 (/.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))
1/2
#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 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.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 x (*.f32 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 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
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#s(literal 1/2 binary32)
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#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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1/2
#s(literal 1/2 binary32)
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#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 (* -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 x)
(neg.f32 x)
(* x (- (* 1/2 (/ x s)) 1))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(* x (- (* 1/2 (/ x s)) 1))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(* x (- (* 1/2 (/ x s)) 1))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))) s)
(* -1 x)
(neg.f32 x)
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x))
(* -1 x)
(neg.f32 x)
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1 x)
(neg.f32 x)
(* x (- (* 1/2 (/ x s)) 1))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x x))))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1 binary32) (*.f32 x x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1 binary32) (*.f32 x x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))
(* -1 x)
(neg.f32 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x))
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)))
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)))
(* -1 x)
(neg.f32 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x))
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(-.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)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(-.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)
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* -1/6 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(/ 1/2 (* (pow s 2) x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ 1/2 (* (pow s 2) x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ 1/2 (* (pow s 2) x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))

rewrite380.0ms (3.2%)

Memory
-5.3MiB live, 601.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 572×lower-/.f64
4 548×lower-/.f32
3 934×lower-*.f64
3 914×lower-*.f32
2 768×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071585
0100533
1455533
23405533
08825515
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 533
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(exp.f32 #s(literal 2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
(*.f32 x #s(literal 1/4 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))
#s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))
(/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))
(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s)
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))
(+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 2 binary32) s)))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 2 binary32) s))))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32)))) (fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32)))) (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32))))) (neg.f32 (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))) (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))))) #s(literal 1 binary32))
(/.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)))))
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(/.f32 (-.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s))))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
(/.f32 (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 s s))) (*.f32 s (*.f32 s s)))
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (neg.f32 (*.f32 s (*.f32 s s))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (*.f32 s s) (*.f32 (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (/.f32 #s(literal -1/6 binary32) s)))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (*.f32 s s))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 (neg.f32 (*.f32 x (*.f32 s s))) #s(literal 1 binary32)))) (neg.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 s s))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 s (*.f32 s s)) (*.f32 (neg.f32 (*.f32 x (*.f32 s s))) #s(literal -1/6 binary32)))) (neg.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 s s))) (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (neg.f32 (*.f32 x (*.f32 s s))) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 s s))) (neg.f32 (*.f32 s (*.f32 s s))))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 s s) (*.f32 (neg.f32 (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) s)))) (neg.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 s s))) (*.f32 s s))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 x (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 (*.f32 x (*.f32 s s)) (neg.f32 (*.f32 s (*.f32 s s))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 s s) (*.f32 (*.f32 x (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)))) (neg.f32 (*.f32 (*.f32 x (*.f32 s s)) (*.f32 s s))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 (*.f32 s s) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal -1/6 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s s) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (neg.f32 (*.f32 s (*.f32 s s))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/6 binary32) s)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 s s))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x (*.f32 s s))) (*.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (neg.f32 (*.f32 x (*.f32 s s))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (*.f32 x (*.f32 s s)) (*.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (*.f32 s s) (*.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (*.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 s s))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 (*.f32 x (*.f32 s s))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s (*.f32 s s)) (neg.f32 (*.f32 x (*.f32 s s))))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) #s(literal 1 binary32)))) (neg.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/6 binary32) (neg.f32 (*.f32 x (*.f32 s s))) (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 s s))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 s s)) (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 s s) (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (*.f32 (*.f32 s s) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (neg.f32 (*.f32 x (*.f32 s s))) (*.f32 (*.f32 s s) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (neg.f32 (*.f32 x (*.f32 s s))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 x (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 s s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 s s))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))))) (neg.f32 (neg.f32 (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s)))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))))) (neg.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s)))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s)))))) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
(/.f32 (neg.f32 (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 s s)))) (neg.f32 (*.f32 s (*.f32 s s))))
(*.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s)))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s)))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))))

eval118.0ms (1%)

Memory
3.2MiB live, 291.2MiB allocated
Compiler

Compiled 23 626 to 2 162 computations (90.8% saved)

prune144.0ms (1.2%)

Memory
25.1MiB live, 382.1MiB allocated
Pruning

54 alts after pruning (45 fresh and 9 done)

PrunedKeptTotal
New1 10181 109
Fresh33740
Picked235
Done066
Total1 106541 160
Accuracy
100.0%
Counts
1 160 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x 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)))) #s(literal 1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32)) #s(literal 2 binary32))))
49.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
58.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) (*.f32 s s)) (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s))) #s(literal 1 binary32))))))
62.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)) #s(literal 1 binary32))))))
53.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) s) (*.f32 x (*.f32 x #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
63.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/6 binary32))) s)) (neg.f32 s))) #s(literal 1 binary32))))))
52.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 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 1 binary32))))))
51.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
60.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) 1/2)) x) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)) s))))))
61.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
56.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* x (* (/ x s) 1/2)) x) s) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s))))))))
40.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s)))))))
37.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s)))))))
37.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp (* (/ x s) -1/2)) 2)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
54.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp 2) (/ (* x -1/2) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 x s) #s(literal -1 binary32)))) s) x) s))))
54.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) s) #s(literal 2 binary32))))
41.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
55.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
54.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s 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 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))
57.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
✓40.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
40.6%
(/.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)))))
47.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (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 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))))
55.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 (*.f32 x x) s))) s))))
53.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
18.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
34.7%
(/.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 (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
34.3%
(/.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 x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
32.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x x) (neg.f32 x)) s))))
✓32.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
33.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x #s(approx (+ (* x (/ 1/2 s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))) s))))
33.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))))
15.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))))
33.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(approx (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
63.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
18.5%
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
✓30.4%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
29.1%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
24.2%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))))
29.1%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))))
30.3%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
✓7.7%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
21.9%
#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)))
✓35.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 467 to 1 005 computations (59.3% saved)

regimes255.0ms (2.2%)

Memory
-15.5MiB live, 303.1MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 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))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x #s(approx (+ (* x (/ 1/2 s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) 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))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp (* (/ x s) -1/2)) 2)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x x) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(approx (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp 2) (/ (* x -1/2) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* x (* (/ x s) 1/2)) x) s) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) 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 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) 1/2)) x) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 (*.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 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 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) s) (*.f32 x (*.f32 x #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.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 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/6 binary32))) s)) (neg.f32 s))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s) x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x 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)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 x s) #s(literal -1 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) (*.f32 s s)) (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)))) s) x) s))))
(/.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 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
Calls

7 calls:

82.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
61.0ms
s
26.0ms
(/.f32 (neg.f32 x) s)
24.0ms
x
23.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes136.0ms (1.2%)

Memory
15.7MiB live, 330.5MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 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))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x #s(approx (+ (* x (/ 1/2 s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) 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))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp (* (/ x s) -1/2)) 2)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x x) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(approx (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp 2) (/ (* x -1/2) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* x (* (/ x s) 1/2)) x) s) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) 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 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) 1/2)) x) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 (*.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 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 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) s) (*.f32 x (*.f32 x #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.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 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/6 binary32))) s)) (neg.f32 s))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s) x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x 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)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 x s) #s(literal -1 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) (*.f32 s s)) (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)))) s) x) s))))
(/.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 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

23.0ms
s
20.0ms
x
20.0ms
(neg.f32 x)
19.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
18.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes175.0ms (1.5%)

Memory
-3.7MiB live, 288.0MiB allocated
Counts
69 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 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))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x #s(approx (+ (* x (/ 1/2 s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) 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))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp (* (/ x s) -1/2)) 2)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x x) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(approx (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp 2) (/ (* x -1/2) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* x (* (/ x s) 1/2)) x) s) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) 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 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) 1/2)) x) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 (*.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 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 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) s) (*.f32 x (*.f32 x #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.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 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/6 binary32))) s)) (neg.f32 s))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s) x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x 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)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 x s) #s(literal -1 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 (/.f32 (*.f32 x #s(literal 1/6 binary32)) (*.f32 s s)) (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 1/3 binary32)))) s) x) s))))
(/.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 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))
Outputs
(/.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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/6 binary32))) s)) (neg.f32 s))) #s(literal 1 binary32))))))
Calls

7 calls:

50.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
25.0ms
x
23.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
22.0ms
(/.f32 (neg.f32 x) s)
20.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
93.8%2x
63.2%1s
94.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
94.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
94.2%2(exp.f32 (/.f32 (neg.f32 x) s))
94.2%2(/.f32 (neg.f32 x) s)
93.8%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes131.0ms (1.1%)

Memory
-16.6MiB live, 177.8MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 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))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x #s(approx (+ (* x (/ 1/2 s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) 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))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp (* (/ x s) -1/2)) 2)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x x) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(approx (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp 2) (/ (* x -1/2) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* x (* (/ x s) 1/2)) x) s) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) 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 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) 1/2)) x) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 (*.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 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 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) s) (*.f32 x (*.f32 x #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.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 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s)))))
Outputs
(/.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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
Calls

6 calls:

35.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
34.0ms
x
17.0ms
(neg.f32 x)
16.0ms
(/.f32 (neg.f32 x) s)
14.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
93.6%2(neg.f32 x)
93.6%2x
93.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
93.8%2(exp.f32 (/.f32 (neg.f32 x) s))
93.8%2(/.f32 (neg.f32 x) s)
93.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes83.0ms (0.7%)

Memory
-1.3MiB live, 156.3MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 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))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x #s(approx (+ (* x (/ 1/2 s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) 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))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp (* (/ x s) -1/2)) 2)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x x) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(approx (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp 2) (/ (* x -1/2) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* x (* (/ x s) 1/2)) x) s) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) 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 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) 1/2)) x) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 (*.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 x s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
Calls

6 calls:

16.0ms
(neg.f32 x)
15.0ms
x
15.0ms
(/.f32 (neg.f32 x) s)
13.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
11.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
91.6%2x
91.6%2(neg.f32 x)
92.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
92.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
92.0%2(exp.f32 (/.f32 (neg.f32 x) s))
92.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes44.0ms (0.4%)

Memory
13.5MiB live, 89.5MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 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))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x #s(approx (+ (* x (/ 1/2 s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) 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))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp (* (/ x s) -1/2)) 2)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x x) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(approx (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp 2) (/ (* x -1/2) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* x (* (/ x s) 1/2)) x) s) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) 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 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)) #s(literal 1 binary32))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) 1/2)) x) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) s)) s))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
Calls

4 calls:

11.0ms
(/.f32 (neg.f32 x) s)
11.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
11.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
10.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
92.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
92.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
92.0%2(exp.f32 (/.f32 (neg.f32 x) s))
92.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes81.0ms (0.7%)

Memory
2.8MiB live, 140.4MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 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))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x #s(approx (+ (* x (/ 1/2 s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) 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))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp (* (/ x s) -1/2)) 2)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x x) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(approx (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp 2) (/ (* x -1/2) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* x (* (/ x s) 1/2)) x) s) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) 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 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s s))) s))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
Calls

6 calls:

24.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
12.0ms
(neg.f32 x)
12.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
11.0ms
x
10.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
90.2%2x
90.2%2(neg.f32 x)
90.3%2(/.f32 (neg.f32 x) s)
90.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
90.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
90.3%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes69.0ms (0.6%)

Memory
-3.4MiB live, 76.2MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 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))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x #s(approx (+ (* x (/ 1/2 s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) 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))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp (* (/ x s) -1/2)) 2)) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x x) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(approx (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp 2) (/ (* x -1/2) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ 1 (/ (+ (* x (* (/ x s) 1/2)) x) s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) s)) (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* x (* (/ x s) 1/2)) x) s) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) 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 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
Calls

4 calls:

40.0ms
(/.f32 (neg.f32 x) s)
9.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
9.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
9.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
90.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
90.2%2(exp.f32 (/.f32 (neg.f32 x) s))
90.2%2(/.f32 (neg.f32 x) s)
90.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes41.0ms (0.4%)

Memory
-8.5MiB live, 29.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
Calls

4 calls:

29.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
90.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
90.2%2(exp.f32 (/.f32 (neg.f32 x) s))
90.2%2(/.f32 (neg.f32 x) s)
90.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes51.0ms (0.4%)

Memory
-15.3MiB live, 60.0MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.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) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32))))
Calls

7 calls:

27.0ms
s
5.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(neg.f32 x)
4.0ms
x
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
54.2%1s
64.2%2(neg.f32 x)
64.2%2x
64.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.4%2(exp.f32 (/.f32 (neg.f32 x) s))
64.4%2(/.f32 (neg.f32 x) s)
64.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes45.0ms (0.4%)

Memory
1.0MiB live, 42.3MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
Calls

6 calls:

28.0ms
x
4.0ms
(neg.f32 x)
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
61.2%2x
61.2%2(neg.f32 x)
63.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
63.2%2(exp.f32 (/.f32 (neg.f32 x) s))
63.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes25.0ms (0.2%)

Memory
22.2MiB live, 59.9MiB 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 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
Calls

7 calls:

5.0ms
(neg.f32 x)
4.0ms
x
4.0ms
s
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
41.0%1s
48.9%2x
48.9%2(neg.f32 x)
49.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.5%2(exp.f32 (/.f32 (neg.f32 x) s))
49.5%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes13.0ms (0.1%)

Memory
-8.5MiB live, 26.7MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 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))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
Calls

4 calls:

5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
49.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.2%2(exp.f32 (/.f32 (neg.f32 x) s))
49.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes15.0ms (0.1%)

Memory
4.6MiB live, 42.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 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 (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
Calls

6 calls:

4.0ms
(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)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
47.4%2x
47.4%2(neg.f32 x)
47.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
47.6%2(exp.f32 (/.f32 (neg.f32 x) s))
47.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes19.0ms (0.2%)

Memory
4.0MiB live, 46.1MiB allocated
Accuracy

Total -8.9b remaining (-42.8%)

Threshold costs -8.9b (-42.8%)

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

7 calls:

6.0ms
(neg.f32 x)
2.0ms
x
2.0ms
s
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
35.3%1s
35.3%1x
35.3%1(neg.f32 x)
35.3%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
35.3%1(/.f32 (neg.f32 x) s)
35.3%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
35.3%1(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.7292441090166477e-10
0.4047466516494751
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
1.7292441090166477e-10
0.4047466516494751
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
0.38572585582733154
22.478166580200195
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.4706814289093018
5782873600.0
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.7292441090166477e-10
0.4047466516494751
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.4972488582134247
0.49936339259147644
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
1.7292441090166477e-10
0.4047466516494751
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.38572585582733154
22.478166580200195
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.38572585582733154
22.478166580200195
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9631121754646301
-0.663653552532196
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9631121754646301
-0.663653552532196
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.4706814289093018
5782873600.0
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify49.0ms (0.4%)

Memory
2.4MiB live, 77.2MiB allocated
Algorithm
1×egg-herbie
Rules
316×distribute-lft-neg-in_binary32
180×unsub-neg_binary32
178×neg-mul-1_binary32
158×neg-sub0_binary32
134×sub-neg_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0152762
1184762
2201762
3216761
4241761
5275761
6328761
7434761
8592761
9773761
10941761
111050761
121092761
131101761
141106761
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 14411519/72057594037927936 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/6 binary32))) s)) (neg.f32 s))) #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 14411519/72057594037927936 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) s)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 14411519/72057594037927936 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) (*.f32 s s)))) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 16710107/33554432 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 14411519/72057594037927936 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -13421773/16777216 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 (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -13421773/16777216 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 (exp.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)) (neg.f32 (/.f32 x 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) (/.f32 #s(literal 1 binary32) (exp.f32 (/.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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 14411519/72057594037927936 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/6 binary32))) s)) (neg.f32 s))) #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 14411519/72057594037927936 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x #s(approx (+ (* x (+ (* (/ x (* s (* s s))) 1/6) (/ 1/2 (* s s)))) (/ 1 s)) (/.f32 (-.f32 (/.f32 (fma.f32 x #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x x) s))) s) #s(literal -1 binary32)) s)) #s(literal 1 binary32)))))))
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#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness2.2s (19%)

Memory
0.1MiB live, 1 386.5MiB allocated
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
20 728×lower-fma.f64
20 728×lower-fma.f32
14 532×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071585
0100533
1455533
23405533
08825515
04456627
113376055
241655474
084885140
036271
059254
1255254
21848254
08827254
0140758
1378748
21147742
33893722
08438682
0827
01327
14827
225527
3210127
0846526
03834835
111884468
239854320
083024119
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 875 to 391 computations (55.3% saved)

preprocess65.0ms (0.6%)

Memory
19.4MiB live, 214.6MiB allocated
Compiler

Compiled 914 to 208 computations (77.2% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

Profiling

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