Logistic function

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze42.0ms (0.6%)

Memory
22.0MiB live, 65.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.1s (15.1%)

Memory
-0.6MiB live, 994.9MiB allocated
Samples
835.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 641.0ms
const: 206.0ms (32.1% of total)
ival-div: 128.0ms (20% of total)
ival-exp: 86.0ms (13.4% of total)
ival-<=: 82.0ms (12.8% of total)
ival-neg: 75.0ms (11.7% of total)
ival-add: 39.0ms (6.1% of total)
ival-and: 11.0ms (1.7% of total)
exact: 11.0ms (1.7% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain93.0ms (1.2%)

Memory
2.3MiB live, 136.3MiB 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(5.925573458496852e-19 2.4348770169353365e-21)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
29.0ms512×0valid
Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.7% of total)
ival-exp: 4.0ms (23.8% of total)
ival-neg: 3.0ms (17.9% 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)

preprocess115.0ms (1.5%)

Memory
31.8MiB live, 131.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041
15041
210141
321141
458541
5494541
089
0139
1219
2409
3969
42769
523279
080679
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify101.0ms (1.4%)

Memory
-25.2MiB live, 162.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (neg.f32 x) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01330
12130
24030
39630
427630
5232730
0806730
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s

localize20.0ms (0.3%)

Memory
32.2MiB live, 32.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f32 x)
accuracy0.016882531620653757
(exp.f32 (/.f32 (neg.f32 x) s))
accuracy0.03515625
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy0.046875
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Samples
14.0ms256×0valid
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 (37.3% of total)
ival-exp: 2.0ms (24.9% of total)
ival-add: 1.0ms (12.4% of total)
ival-neg: 1.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-30.4MiB live, 15.5MiB allocated
Counts
5 → 29
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
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ 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))))))
(+ 1/2 (* -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 (* -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 (/ (+ 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)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms
x
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms
s
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
1.0ms
s
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
1.0ms
x
@-inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))

simplify149.0ms (2%)

Memory
-19.0MiB live, 145.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140377
1435345
21607341
08697311
Stop Event
iter limit
node limit
Counts
29 → 29
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)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ 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))))))
(+ 1/2 (* -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 (* -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 (/ (+ 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)))
Outputs
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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x 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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/480 binary32) x) (/.f32 x (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 x 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 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 x)
(neg.f32 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 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 s) x) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) 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 s) x) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)))

rewrite188.0ms (2.5%)

Memory
3.5MiB live, 197.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
14327
221827
3203227
0907127
Stop Event
iter limit
node limit
iter limit
Counts
5 → 452
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
Outputs
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (fma.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)))) (neg.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))))) (*.f32 (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (-.f32 (*.f32 (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))))) (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (*.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))))))))
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(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))))))))
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(-.f32 (log.f32 (*.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32))))) (log.f32 (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))))
(-.f32 (log.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s)))))) (log.f32 #s(literal 4 binary32)))
(-.f32 (log.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))))) (log.f32 #s(literal 4 binary32)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)))) (log.f32 (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32))
(neg.f32 (/.f32 x s))
(neg.f32 x)

eval69.0ms (0.9%)

Memory
-9.1MiB live, 79.9MiB allocated
Compiler

Compiled 17 059 to 1 687 computations (90.1% saved)

prune15.0ms (0.2%)

Memory
22.2MiB live, 22.2MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New46112473
Fresh000
Picked011
Done000
Total46113474
Accuracy
99.9%
Counts
474 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.9%
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
99.8%
(/.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) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
44.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
44.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
44.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
44.4%
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 461 to 350 computations (24.1% saved)

simplify107.0ms (1.4%)

Memory
9.2MiB live, 102.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
cost-diff0
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff0
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
cost-diff0
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff0
(-.f32 #s(literal 1 binary32) (/.f32 x s))
cost-diff0
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
cost-diff0
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff0
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
cost-diff7
(/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041364
071357
1112357
2249357
3728357
42315343
08287343
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(sqrt.f32 (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
x
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(sqrt.f32 (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
(+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
x
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)
(*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

localize117.0ms (1.6%)

Memory
-17.2MiB live, 73.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy2.258638008188899
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)
accuracy13.038342307184031
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy16.295709493199386
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy19.557825606312004
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy0.11785126953688403
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
accuracy2.5017477825565573
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
accuracy12.434410953614098
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy18.19889390326276
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy0.0
(-.f32 #s(literal 1 binary32) (/.f32 x s))
accuracy0.03515625
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
accuracy0.046875
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
accuracy13.116104002257778
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
accuracy10.850925966651838
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy0.03515625
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
accuracy0.046875
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
accuracy0.0546875
(/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
accuracy0.05742359264898864
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
Samples
40.0ms170×0valid
19.0ms86×0exit
Compiler

Compiled 283 to 35 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 12.0ms (27.5% of total)
ival-mult: 9.0ms (20.7% of total)
ival-add: 5.0ms (11.5% of total)
ival-sub: 5.0ms (11.5% of total)
ival-exp: 4.0ms (9.2% of total)
const: 4.0ms (9.2% of total)
ival-sqrt: 3.0ms (6.9% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
38.8MiB live, 38.8MiB allocated
Counts
21 → 101
Calls
Call 1
Inputs
(/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)
Outputs
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* 1/2 (/ x (pow s 2)))
(+ 1/2 (* -1/6 (/ x s)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))
(/ 1 (+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))))
(+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s)))))
(sqrt (exp (* -1 (/ x s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (/ 1 x) (/ 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))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -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 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -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))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (- s x) s)
(/ (+ (* -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 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ 1/2 (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(+ 1 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (pow s 2)))) (* 1/8 (/ (- (* -1 x) x) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (* (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (- (* -1 x) x))) (+ (* 1/32 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (* 1/8 (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x)))))))))) (pow s 3)))) (+ (* -1/8 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) (pow s 2))) (* 1/8 (/ (- (* -1 x) x) s)))))
(+ 2 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ 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))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 1 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s)) (* -1/32 (/ (pow (- x (* -1 x)) 2) s))) (* 1/8 (- x (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (+ (* 1/32 (/ (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (* 1/8 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s)))) (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2)))) s)) (* 1/8 (- x (* -1 x)))) s)))
(+ 2 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 2 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 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 (* -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 (/ (+ 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 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
s
@0
((/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
5.0ms
x
@0
((/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
5.0ms
x
@inf
((/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
5.0ms
s
@-inf
((/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
4.0ms
s
@inf
((/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))

simplify176.0ms (2.4%)

Memory
-37.1MiB live, 150.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04412240
114702025
256921991
083401868
Stop Event
iter limit
node limit
Counts
101 → 101
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))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* 1/2 (/ x (pow s 2)))
(+ 1/2 (* -1/6 (/ x s)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))
(/ 1 (+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))))
(+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s)))))
(sqrt (exp (* -1 (/ x s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (/ 1 x) (/ 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))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -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 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -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))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (- s x) s)
(/ (+ (* -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 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ 1/2 (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(+ 1 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (pow s 2)))) (* 1/8 (/ (- (* -1 x) x) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (* (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (- (* -1 x) x))) (+ (* 1/32 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (* 1/8 (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x)))))))))) (pow s 3)))) (+ (* -1/8 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) (pow s 2))) (* 1/8 (/ (- (* -1 x) x) s)))))
(+ 2 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ 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))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 1 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s)) (* -1/32 (/ (pow (- x (* -1 x)) 2) s))) (* 1/8 (- x (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (+ (* 1/32 (/ (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (* 1/8 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s)))) (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2)))) s)) (* 1/8 (- x (* -1 x)))) s)))
(+ 2 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 2 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 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 (* -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 (/ (+ 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 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 1 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 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(+ 1 (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/48 binary32) x) s)) (*.f32 s s)) x (/.f32 #s(literal -1/2 binary32) s)) x #s(literal 1 binary32))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s)
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)
(sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))
(sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
(/ 1 (+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1 binary32)))
(+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s)))))
(+.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1 binary32))
(sqrt (exp (* -1 (/ x s))))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (/ 1 x) (/ 1 s)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x)
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/6 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x)
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
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(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
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(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/8 binary32) (*.f32 #s(literal 1/2 binary32) x)) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 s))) s))
(+ 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 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (-.f32 s x)) s)
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))

rewrite209.0ms (2.8%)

Memory
-1.4MiB live, 251.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041295
071292
1252289
21714267
08194267
Stop Event
iter limit
node limit
iter limit
Counts
21 → 396
Calls
Call 1
Inputs
(/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) (/.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))
(*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))) (sqrt.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(*.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (sqrt.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1 binary32))
(sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))))) (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s)))))))
(/.f32 (fabs.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))))) (fabs.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 (fabs.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))))) (fabs.f32 (neg.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s)))))))
(/.f32 (fabs.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))))) (fabs.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 (fabs.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (fabs.f32 (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 (sqrt.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))) (sqrt.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 (sqrt.f32 (sqrt.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))) (sqrt.f32 (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 (sqrt.f32 (*.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))))) (sqrt.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 (sqrt.f32 (sqrt.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (exp.f32 (/.f32 (neg.f32 x) s))))) (sqrt.f32 (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 (sqrt.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))))) (sqrt.f32 (*.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s)))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 (sqrt.f32 (*.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))))) (sqrt.f32 (*.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s)))))))
(/.f32 (sqrt.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sqrt.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))))) (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))))) (neg.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (sqrt.f32 (exp.f32 (/.f32 x s))))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1 binary32))
(fabs.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(fabs.f32 (/.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s))))))
(fabs.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(fabs.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(+.f32 (cosh.f32 (/.f32 (-.f32 (neg.f32 x) x) (*.f32 s #s(literal 2 binary32)))) (sinh.f32 (/.f32 (-.f32 (neg.f32 x) x) (*.f32 s #s(literal 2 binary32)))))
(exp.f32 (-.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))))
(exp.f32 (-.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(exp.f32 (-.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1/2 binary32)))
(exp.f32 (/.f32 (-.f32 (neg.f32 x) x) (*.f32 s #s(literal 2 binary32))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(neg.f32 (/.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (neg.f32 (sqrt.f32 (exp.f32 (/.f32 x s))))))
(*.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 3/2 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (+.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(pow.f32 (exp.f32 (log1p.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (+.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32))
(+.f32 (cosh.f32 (*.f32 (log1p.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32))) (sinh.f32 (*.f32 (log1p.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log1p.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (neg.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) (*.f32 s #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 3/2 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
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(/.f32 (*.f32 x (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 (neg.f32 s) s))
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) (*.f32 (neg.f32 s) s))
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s))
(fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))
(fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))
(+.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))
(+.f32 (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))

eval97.0ms (1.3%)

Memory
26.2MiB live, 70.1MiB allocated
Compiler

Compiled 17 168 to 2 509 computations (85.4% saved)

prune46.0ms (0.6%)

Memory
-5.1MiB live, 84.2MiB allocated
Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New44839487
Fresh257
Picked145
Done011
Total45149500
Accuracy
99.9%
Counts
500 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.0%
(pow.f32 (pow.f32 (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
99.3%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
45.7%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
45.7%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
63.9%
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
44.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (-.f32 s x)) s))))
44.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
44.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 s)) (*.f32 s #s(literal -1 binary32))) (*.f32 (neg.f32 s) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) s) (*.f32 (*.f32 (neg.f32 s) s) #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 s) s) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (neg.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x)) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 (neg.f32 s))) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
44.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
44.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
57.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
32.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
33.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
37.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))
40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x))))
35.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
44.7%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 446 to 1 788 computations (26.9% saved)

simplify108.0ms (1.4%)

Memory
1.5MiB live, 99.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff1
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
cost-diff1
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
cost-diff2
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
cost-diff1
(/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))
cost-diff2
(-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
cost-diff0
(/.f32 (-.f32 (neg.f32 x) x) s)
cost-diff0
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32))
cost-diff0
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
cost-diff1
(-.f32 (neg.f32 x) x)
cost-diff0
#s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
cost-diff0
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065555
0101555
1169545
2412535
31382529
44596518
08528497
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
#s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(/.f32 x s)
x
s
(sqrt.f32 (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32))
#s(literal -1/8 binary32)
(/.f32 (-.f32 (neg.f32 x) x) s)
(-.f32 (neg.f32 x) x)
(neg.f32 x)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))
(-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(*.f32 (*.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
x
#s(literal 1/2 binary32)
(*.f32 s x)
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
x
(/.f32 #s(literal 1 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x)
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s)))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/6 binary32) (/.f32 x s))
#s(literal 1/6 binary32)
(/.f32 x s)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32))
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
#s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(/.f32 x s)
x
s
(sqrt.f32 (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32))
(fma.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)) #s(literal -1/8 binary32) #s(literal 1/2 binary32))
#s(literal -1/8 binary32)
(/.f32 (-.f32 (neg.f32 x) x) s)
(*.f32 (/.f32 x s) #s(literal -2 binary32))
(-.f32 (neg.f32 x) x)
(*.f32 x #s(literal -2 binary32))
(neg.f32 x)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))
(*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))
(-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x s) (neg.f32 x))
(*.f32 (*.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
x
#s(literal 1/2 binary32)
(*.f32 s x)
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s) s)
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
x
(/.f32 #s(literal 1 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x)
(*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s)
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/6 binary32) (/.f32 x s))
#s(literal 1/6 binary32)
(/.f32 x s)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

localize165.0ms (2.2%)

Memory
-24.4MiB live, 118.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2796172816816518
(*.f32 #s(literal 1/6 binary32) (/.f32 x s))
accuracy2.258638008188899
(*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x)
accuracy13.038342307184031
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy16.86808005372613
(fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy0.11785126953688403
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
accuracy2.5017477825565573
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
accuracy12.953146193268429
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
accuracy15.264288079493651
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
accuracy0.046875
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
accuracy5.057347747831712
(/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))
accuracy7.845848244972654
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))
accuracy12.434410953614098
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))
accuracy0.0
(-.f32 (neg.f32 x) x)
accuracy0.0
(neg.f32 x)
accuracy12.241167084422788
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
accuracy19.599147851111187
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32))
accuracy0.0343021863809557
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
accuracy0.03515625
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
accuracy0.046875
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
accuracy0.0546875
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
Samples
59.0ms170×0valid
27.0ms86×0exit
Compiler

Compiled 361 to 48 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-div: 20.0ms (29.8% of total)
ival-mult: 14.0ms (20.8% of total)
ival-add: 6.0ms (8.9% of total)
ival-exp: 6.0ms (8.9% of total)
ival-pow: 6.0ms (8.9% of total)
ival-sub: 5.0ms (7.4% of total)
const: 4.0ms (6% of total)
ival-sqrt: 3.0ms (4.5% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
3.8MiB live, 49.6MiB allocated
Counts
28 → 117
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
#s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
(-.f32 (neg.f32 x) x)
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32))
(/.f32 (-.f32 (neg.f32 x) x) s)
(-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(neg.f32 x)
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x)
(*.f32 #s(literal 1/6 binary32) (/.f32 x s))
Outputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(* -2 x)
(* -2 (/ x s))
(* -1 (* s x))
(* x (- (* 1/2 x) s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(+ 1/2 (* -1/6 (/ x s)))
(* -1 x)
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* 1/6 (/ x s))
(/ 1 (+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))))
(+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s)))))
(sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))
(sqrt (exp (* -1 (/ x s))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 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))))))
(exp (* -1/2 (/ x s)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(exp (* -1 (/ x s)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -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))))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ (- (* 1/2 s) (* 1/6 x)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ 1/2 (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (pow s 2)))) (* 1/8 (/ (- (* -1 x) x) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (* (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (- (* -1 x) x))) (+ (* 1/32 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (* 1/8 (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x)))))))))) (pow s 3)))) (+ (* -1/8 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) (pow s 2))) (* 1/8 (/ (- (* -1 x) x) s)))))
(+ 2 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(+ 1 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2))))))
(* s (- (* 1/2 (/ (pow x 2) s)) x))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s)) (* -1/32 (/ (pow (- x (* -1 x)) 2) s))) (* 1/8 (- x (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (+ (* 1/32 (/ (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (* 1/8 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s)))) (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2)))) s)) (* 1/8 (- x (* -1 x)))) s)))
(+ 2 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 2 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 1 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 x)) s)))
(* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) 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 (* -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 (* -1/2 (/ x s))) s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
s
@-inf
((/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (sqrt (exp (/ (neg x) s))) (- (neg x) x) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/ (- (neg x) x) s) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 1/2 (* 1/6 (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (- 1/2 (* 1/6 (/ x s))) (* s s)) x) (/ 1 s)) x) 2) (pow (exp -1/2) (/ x s)) (neg x) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (exp (/ (neg x) s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* (/ (- 1/2 (* 1/6 (/ x s))) (* s s)) x) (* 1/6 (/ x s)))
5.0ms
x
@inf
((/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (sqrt (exp (/ (neg x) s))) (- (neg x) x) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/ (- (neg x) x) s) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 1/2 (* 1/6 (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (- 1/2 (* 1/6 (/ x s))) (* s s)) x) (/ 1 s)) x) 2) (pow (exp -1/2) (/ x s)) (neg x) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (exp (/ (neg x) s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* (/ (- 1/2 (* 1/6 (/ x s))) (* s s)) x) (* 1/6 (/ x s)))
4.0ms
x
@-inf
((/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (sqrt (exp (/ (neg x) s))) (- (neg x) x) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/ (- (neg x) x) s) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 1/2 (* 1/6 (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (- 1/2 (* 1/6 (/ x s))) (* s s)) x) (/ 1 s)) x) 2) (pow (exp -1/2) (/ x s)) (neg x) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (exp (/ (neg x) s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* (/ (- 1/2 (* 1/6 (/ x s))) (* s s)) x) (* 1/6 (/ x s)))
4.0ms
s
@0
((/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (sqrt (exp (/ (neg x) s))) (- (neg x) x) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/ (- (neg x) x) s) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 1/2 (* 1/6 (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (- 1/2 (* 1/6 (/ x s))) (* s s)) x) (/ 1 s)) x) 2) (pow (exp -1/2) (/ x s)) (neg x) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (exp (/ (neg x) s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* (/ (- 1/2 (* 1/6 (/ x s))) (* s s)) x) (* 1/6 (/ x s)))
3.0ms
x
@0
((/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (sqrt (exp (/ (neg x) s))) (- (neg x) x) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/ (- (neg x) x) s) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 1/2 (* 1/6 (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (- 1/2 (* 1/6 (/ x s))) (* s s)) x) (/ 1 s)) x) 2) (pow (exp -1/2) (/ x s)) (neg x) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (exp (/ (neg x) s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* (/ (- 1/2 (* 1/6 (/ x s))) (* s s)) x) (* 1/6 (/ x s)))

simplify191.0ms (2.6%)

Memory
5.2MiB live, 193.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04712379
115702162
259812122
086201994
Stop Event
iter limit
node limit
Counts
117 → 117
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)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(* -2 x)
(* -2 (/ x s))
(* -1 (* s x))
(* x (- (* 1/2 x) s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(+ 1/2 (* -1/6 (/ x s)))
(* -1 x)
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* 1/6 (/ x s))
(/ 1 (+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))))
(+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s)))))
(sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))
(sqrt (exp (* -1 (/ x s))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 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))))))
(exp (* -1/2 (/ x s)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(exp (* -1 (/ x s)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -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))))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ (- (* 1/2 s) (* 1/6 x)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ 1/2 (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (pow s 2)))) (* 1/8 (/ (- (* -1 x) x) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (* (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (- (* -1 x) x))) (+ (* 1/32 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (* 1/8 (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x)))))))))) (pow s 3)))) (+ (* -1/8 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) (pow s 2))) (* 1/8 (/ (- (* -1 x) x) s)))))
(+ 2 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(+ 1 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2))))))
(* s (- (* 1/2 (/ (pow x 2) s)) x))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s)) (* -1/32 (/ (pow (- x (* -1 x)) 2) s))) (* 1/8 (- x (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (+ (* 1/32 (/ (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (* 1/8 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s)))) (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2)))) s)) (* 1/8 (- x (* -1 x)))) s)))
(+ 2 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 2 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 1 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 x)) s)))
(* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) 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 (* -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 (* -1/2 (/ x s))) s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/48 binary32) x) s)) (*.f32 s s)) x (/.f32 #s(literal -1/2 binary32) s)) x #s(literal 1 binary32))
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* -2 (/ x s))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(* -1 (* s x))
(*.f32 (neg.f32 s) x)
(* x (- (* 1/2 x) s))
(*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* -1 x)
(neg.f32 x)
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)
(* 1/6 (/ x s))
(*.f32 #s(literal 1/6 binary32) (/.f32 x s))
(/ 1 (+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1 binary32)))
(+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s)))))
(+.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1 binary32))
(sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))
(sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
(sqrt (exp (* -1 (/ x s))))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(* 1/4 (/ x s))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(* 1/2 (pow x 2))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) x)
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(*.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 s x)) x) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x)
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (neg.f32 x))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (*.f32 x x))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 x))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(fma.f32 (neg.f32 x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (neg.f32 x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s)
(/ (- (* 1/2 s) (* 1/6 x)) s)
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 s))) s))
(* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))
(*.f32 (neg.f32 s) (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s)) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/8 binary32) (*.f32 #s(literal 1/2 binary32) x)) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 s))) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s)) s))

rewrite177.0ms (2.4%)

Memory
0.1MiB live, 331.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065462
0101461
1362446
22596424
08911416
Stop Event
iter limit
node limit
iter limit
Counts
28 → 387
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
#s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
(-.f32 (neg.f32 x) x)
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32))
(/.f32 (-.f32 (neg.f32 x) x) s)
(-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(neg.f32 x)
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x)
(*.f32 #s(literal 1/6 binary32) (/.f32 x s))
Outputs
(*.f32 (neg.f32 (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 2 binary32)) (exp.f32 (/.f32 x s))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) (-.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (log1p.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (+.f32 (neg.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (*.f32 (log1p.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))) #s(literal -1 binary32))) (sinh.f32 (*.f32 (log1p.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))) (/.f32 (pow.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 2 binary32)) (exp.f32 (/.f32 x s))))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))))
(/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) (-.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) (-.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 3 binary32)))) (*.f32 (fma.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) (-.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) (-.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (/.f32 (pow.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 2 binary32)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)) (-.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 2 binary32)) (exp.f32 (/.f32 x s))))) (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) (-.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 2 binary32)) (exp.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 (+.f32 (pow.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (/.f32 (pow.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 2 binary32)) (exp.f32 (/.f32 x s))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s)))))))
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(/.f32 (fma.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 2 binary32)))) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 2 binary32)))) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))) #s(literal 8 binary32))) (*.f32 (+.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 2 binary32)))) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 2 binary32)))) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 3 binary32)))) (neg.f32 (+.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 2 binary32)))) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 2 binary32))))))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 3 binary32))) (+.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 2 binary32)))) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)) x))
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 x) (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 2 binary32)))) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))) (/.f32 #s(literal 8 binary32) (+.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 2 binary32)))) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))))
(+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x))
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))))) (neg.f32 (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))))))
(*.f32 (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))) (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 (neg.f32 x) s)))
(pow.f32 (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(fabs.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
(+.f32 (cosh.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (sinh.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(neg.f32 x)
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))
(*.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(/.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) s)
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 (neg.f32 s) s))
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (*.f32 (neg.f32 s) s))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (*.f32 (neg.f32 s) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(/.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) s)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 s) s))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))
(*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)))
(*.f32 x (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s)
(/.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x) (*.f32 (neg.f32 s) s))
(/.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s)
(/.f32 (*.f32 x (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 (neg.f32 s) s))
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) (*.f32 (neg.f32 s) s))
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s))
(*.f32 #s(literal 1/6 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal 1/6 binary32))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1/6 binary32)) (neg.f32 s))
(/.f32 (*.f32 #s(literal 1/6 binary32) (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 #s(literal 1/6 binary32) x)) (neg.f32 s))
(/.f32 (*.f32 #s(literal 1/6 binary32) x) s)

eval60.0ms (0.8%)

Memory
36.2MiB live, 171.6MiB allocated
Compiler

Compiled 20 359 to 2 678 computations (86.8% saved)

prune79.0ms (1.1%)

Memory
-3.4MiB live, 100.9MiB allocated
Pruning

74 alts after pruning (70 fresh and 4 done)

PrunedKeptTotal
New44747494
Fresh162339
Picked325
Done325
Total46974543
Accuracy
100.0%
Counts
543 → 74
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
45.7%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
45.7%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
45.7%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
63.9%
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 2 binary32))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) s) #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 s) s) (neg.f32 (neg.f32 s)))) x #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)))))
44.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (-.f32 s x)) s))))
40.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s)))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
44.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
44.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
44.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
57.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
57.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
24.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
12.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s) (*.f32 (*.f32 (neg.f32 s) s) (*.f32 (neg.f32 s) x))) (*.f32 (*.f32 (neg.f32 s) s) (*.f32 s s))))))
24.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fabs.f32 (*.f32 #s(literal 1/2 binary32) x)) x (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
33.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (neg.f32 s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
24.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
32.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
32.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s))))
33.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
33.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (fma.f32 (neg.f32 x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))) (*.f32 s s)))))
33.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s)))))
24.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) (*.f32 (/.f32 s s) (/.f32 x s))))))
40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x))))
35.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
23.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s)))))
44.7%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 (neg.f32 (neg.f32 s)) x)) (*.f32 (neg.f32 (neg.f32 s)) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 s x)) (*.f32 s s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 s) x) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 s s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 x (neg.f32 (neg.f32 s))) (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 (neg.f32 x) s) (/.f32 x s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
29.4%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
7.3%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
29.2%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
34.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 4 263 to 3 061 computations (28.2% saved)

simplify184.0ms (2.5%)

Memory
-23.6MiB live, 140.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
cost-diff0
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
cost-diff1
(fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
cost-diff2
(*.f32 (neg.f32 x) (neg.f32 s))
cost-diff2
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))
cost-diff3
(-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x)))
cost-diff5
(/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s))
cost-diff0
(-.f32 #s(literal 1 binary32) (/.f32 x s))
cost-diff0
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
cost-diff1
(fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))
cost-diff0
(/.f32 #s(literal 1/4 binary32) s)
cost-diff0
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
cost-diff0
#s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
cost-diff0
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
cost-diff0
#s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
cost-diff0
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))
cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055416
088412
1158390
2338375
31083367
44188353
08300349
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))
#s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 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)
(sqrt.f32 (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
x
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))
#s(literal -1/8 binary32)
(/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s))
(-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x)))
(*.f32 (neg.f32 x) (neg.f32 s))
(neg.f32 x)
x
(neg.f32 s)
s
(*.f32 s (neg.f32 x))
(*.f32 (neg.f32 s) s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s)
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
s
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32))
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))
#s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
#s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
(/.f32 x s)
x
s
#s(literal -1/2 binary32)
(sqrt.f32 (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
#s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
x
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))
(+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/8 binary32)
(/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x)))
(*.f32 #s(literal 2 binary32) (*.f32 s x))
(*.f32 (neg.f32 x) (neg.f32 s))
(*.f32 s x)
(neg.f32 x)
x
(neg.f32 s)
s
(*.f32 s (neg.f32 x))
(*.f32 (neg.f32 s) x)
(*.f32 (neg.f32 s) s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 x s) #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 x s) #s(literal 1 binary32))
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
s

localize102.0ms (1.4%)

Memory
10.0MiB live, 153.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s)
accuracy11.225803971468716
(fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
accuracy12.953146193268429
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
accuracy16.603800270689153
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
accuracy0.0390625
(-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x)))
accuracy6.060960934207088
(/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s))
accuracy12.241167084422788
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
accuracy19.504124435110864
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))
accuracy0.0
(-.f32 #s(literal 1 binary32) (/.f32 x s))
accuracy0.046875
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
accuracy9.057438522088965
(fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))
accuracy13.116104002257778
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
accuracy0.0
(/.f32 #s(literal 1/4 binary32) s)
accuracy0.125
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
accuracy8.430134978670871
#s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
accuracy12.241167084422788
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
accuracy0.0234375
(sqrt.f32 (exp.f32 (/.f32 x s)))
accuracy0.03515625
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
accuracy0.046875
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
accuracy0.0546875
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))
Samples
52.0ms170×0valid
25.0ms86×0exit
Compiler

Compiled 297 to 48 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 19.0ms (31.5% of total)
ival-div: 17.0ms (28.2% of total)
ival-add: 9.0ms (14.9% of total)
ival-exp: 6.0ms (9.9% of total)
ival-sub: 4.0ms (6.6% of total)
ival-sqrt: 3.0ms (5% of total)
ival-neg: 2.0ms (3.3% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
-4.5MiB live, 45.1MiB allocated
Counts
23 → 102
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))
#s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/.f32 #s(literal 1/4 binary32) s)
(fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s))
(-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))
(*.f32 (neg.f32 x) (neg.f32 s))
(fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(sqrt.f32 (exp.f32 (/.f32 x s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s)
Outputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(* 1/4 (/ x s))
(* -1 (/ (* x (- s (* -1 s))) (pow s 2)))
(* x (- s (* -1 s)))
(+ 1/2 (* 1/8 (/ (* x (- s (* -1 s))) (pow s 2))))
(* s x)
(+ 1 (* 1/2 (/ x s)))
(+ 1 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (+ (* x (+ (* 1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/ 1 (+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))))
(+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s)))))
(sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))
(sqrt (exp (* -1 (/ x s))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (exp (* -1 (/ x s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (/ 1 x) (/ 1 s)))
(* 1/8 (/ (* x (- s (* -1 s))) (pow s 2)))
(* x (+ (* 1/8 (/ (- s (* -1 s)) (pow s 2))) (* 1/2 (/ 1 x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(sqrt (exp (/ x s)))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(/ (* x (- (* -1 s) s)) (pow s 2))
(* -1 (* x (- (* -1 s) s)))
(* -1/8 (/ (* x (- (* -1 s) s)) (pow s 2)))
(* -1 (* x (- (* 1/8 (/ (- (* -1 s) s) (pow s 2))) (* 1/2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ 1/4 s)
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(* -1 (/ (- x (* -1 x)) s))
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(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
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(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s)) (* -1/32 (/ (pow (- x (* -1 x)) 2) s))) (* 1/8 (- x (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (+ (* 1/32 (/ (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (* 1/8 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s)))) (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2)))) s)) (* 1/8 (- x (* -1 x)))) s)))
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(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 1 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -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)))
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(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(/ (- (* -1 x) x) s)
(* -1 (* s (- (* -1 x) x)))
(+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* -1/2 x)) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@0
((/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (+ (* 1 (exp (/ (neg x) s))) 1) (/ 1 (+ (* 1 (exp (/ (neg x) s))) 1)) (exp (/ (neg x) s)) (- 1 (/ x s)) (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s)) (- (* (neg x) (neg s)) (* s (neg x))) (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (* (neg x) (neg s)) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 1) (sqrt (exp (/ x s))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (/ (- (/ (* 1/2 x) s) 1) s))
4.0ms
x
@-inf
((/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (+ (* 1 (exp (/ (neg x) s))) 1) (/ 1 (+ (* 1 (exp (/ (neg x) s))) 1)) (exp (/ (neg x) s)) (- 1 (/ x s)) (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s)) (- (* (neg x) (neg s)) (* s (neg x))) (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (* (neg x) (neg s)) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 1) (sqrt (exp (/ x s))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (/ (- (/ (* 1/2 x) s) 1) s))
3.0ms
s
@-inf
((/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (+ (* 1 (exp (/ (neg x) s))) 1) (/ 1 (+ (* 1 (exp (/ (neg x) s))) 1)) (exp (/ (neg x) s)) (- 1 (/ x s)) (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s)) (- (* (neg x) (neg s)) (* s (neg x))) (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (* (neg x) (neg s)) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 1) (sqrt (exp (/ x s))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (/ (- (/ (* 1/2 x) s) 1) s))
3.0ms
x
@inf
((/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (+ (* 1 (exp (/ (neg x) s))) 1) (/ 1 (+ (* 1 (exp (/ (neg x) s))) 1)) (exp (/ (neg x) s)) (- 1 (/ x s)) (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s)) (- (* (neg x) (neg s)) (* s (neg x))) (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (* (neg x) (neg s)) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 1) (sqrt (exp (/ x s))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (/ (- (/ (* 1/2 x) s) 1) s))
3.0ms
s
@0
((/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (+ (* 1 (exp (/ (neg x) s))) 1) (/ 1 (+ (* 1 (exp (/ (neg x) s))) 1)) (exp (/ (neg x) s)) (- 1 (/ x s)) (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s)) (- (* (neg x) (neg s)) (* s (neg x))) (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (* (neg x) (neg s)) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 1) (sqrt (exp (/ x s))) (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (/ (- (/ (* 1/2 x) s) 1) s))

simplify206.0ms (2.8%)

Memory
-3.0MiB live, 129.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04242114
114131890
253771826
083611695
Stop Event
iter limit
node limit
Counts
102 → 102
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)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(* 1/4 (/ x s))
(* -1 (/ (* x (- s (* -1 s))) (pow s 2)))
(* x (- s (* -1 s)))
(+ 1/2 (* 1/8 (/ (* x (- s (* -1 s))) (pow s 2))))
(* s x)
(+ 1 (* 1/2 (/ x s)))
(+ 1 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (+ (* x (+ (* 1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/ 1 (+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))))
(+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s)))))
(sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))
(sqrt (exp (* -1 (/ x s))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (exp (* -1 (/ x s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (/ 1 x) (/ 1 s)))
(* 1/8 (/ (* x (- s (* -1 s))) (pow s 2)))
(* x (+ (* 1/8 (/ (- s (* -1 s)) (pow s 2))) (* 1/2 (/ 1 x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(sqrt (exp (/ x s)))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(/ (* x (- (* -1 s) s)) (pow s 2))
(* -1 (* x (- (* -1 s) s)))
(* -1/8 (/ (* x (- (* -1 s) s)) (pow s 2)))
(* -1 (* x (- (* 1/8 (/ (- (* -1 s) s) (pow s 2))) (* 1/2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ 1/4 s)
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(* -1 (/ (- x (* -1 x)) s))
(* s (- x (* -1 x)))
(* 1/8 (/ (- x (* -1 x)) s))
(/ (+ (* 1/8 (- x (* -1 x))) (* 1/2 s)) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
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(- (+ 1/2 (* -1 (/ (+ (* -1/4 (* (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (- (* -1 x) x))) (+ (* 1/32 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (* 1/8 (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x)))))))))) (pow s 3)))) (+ (* -1/8 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) (pow s 2))) (* 1/8 (/ (- (* -1 x) x) s)))))
(+ 2 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(+ 1 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
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(+ 1 (+ (* 1/2 (/ x s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s)) (* -1/32 (/ (pow (- x (* -1 x)) 2) s))) (* 1/8 (- x (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (+ (* 1/32 (/ (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (* 1/8 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s)))) (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2)))) s)) (* 1/8 (- x (* -1 x)))) s)))
(+ 2 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 2 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1 (* -1/2 (/ (- x (* -1 x)) s)))
(+ 1 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -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 (/ (+ 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) x) s)
(* -1 (* s (- (* -1 x) x)))
(+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* -1/2 x)) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/48 binary32) x) s)) (*.f32 s s)) x (/.f32 #s(literal -1/2 binary32) s)) x #s(literal 1 binary32))
(* 1/4 (/ x s))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(* -1 (/ (* x (- s (* -1 s))) (pow s 2)))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(* x (- s (* -1 s)))
(*.f32 (*.f32 #s(literal 2 binary32) s) x)
(+ 1/2 (* 1/8 (/ (* x (- s (* -1 s))) (pow s 2))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 #s(literal 2 binary32) s) #s(literal 1/2 binary32))
(* s x)
(*.f32 s x)
(+ 1 (* 1/2 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))
(+ 1 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x #s(literal 1 binary32))
(+ 1 (* x (+ (* x (+ (* 1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) x) s) #s(literal 1/8 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1/2 binary32) s)) x #s(literal 1 binary32))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(/ 1 (+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1 binary32)))
(+ 1 (sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s)))))
(+.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal 1 binary32))
(sqrt (/ (exp (* -1 (/ x s))) (exp (/ x s))))
(sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
(sqrt (exp (* -1 (/ x s))))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (/ 1 x) (/ 1 s)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(* 1/8 (/ (* x (- s (* -1 s))) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) s) #s(literal 1/8 binary32)) x)
(* x (+ (* 1/8 (/ (- s (* -1 s)) (pow s 2))) (* 1/2 (/ 1 x))))
(*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) s) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(sqrt (exp (/ x s)))
(sqrt.f32 (exp.f32 (/.f32 x s)))
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x)
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)))
(/ (* x (- (* -1 s) s)) (pow s 2))
(*.f32 (/.f32 (-.f32 (neg.f32 s) s) s) (/.f32 x s))
(* -1 (* x (- (* -1 s) s)))
(*.f32 (neg.f32 x) (-.f32 (neg.f32 s) s))
(* -1/8 (/ (* x (- (* -1 s) s)) (pow s 2)))
(*.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 (-.f32 (neg.f32 s) s) x) s))
(* -1 (* x (- (* 1/8 (/ (- (* -1 s) s) (pow s 2))) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (-.f32 (neg.f32 s) s) s) (/.f32 #s(literal -1/2 binary32) x)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (*.f32 x x))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- s x) s)
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(* -1 (/ (- x (* -1 x)) s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* s (- x (* -1 x)))
(*.f32 (*.f32 #s(literal 2 binary32) s) x)
(* 1/8 (/ (- x (* -1 x)) s))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (- x (* -1 x))) (* 1/2 s)) s)
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (pow s 2)))) (* 1/8 (/ (- (* -1 x) x) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/8 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal -1/32 binary32) (fma.f32 (*.f32 #s(literal -1/8 binary32) x) (-.f32 (neg.f32 x) x) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal -1/32 binary32)))) s)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (* (+ (* -1/8 (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x)))) (* -1/32 (pow (- (* -1 x) x) 2))) (- (* -1 x) x))) (+ (* 1/32 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (* 1/8 (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x)))))))))) (pow s 3)))) (+ (* -1/8 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) (pow s 2))) (* 1/8 (/ (- (* -1 x) x) s)))))
(-.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (fma.f32 (-.f32 (neg.f32 x) x) (fma.f32 (neg.f32 x) x (*.f32 (fma.f32 (-.f32 (neg.f32 x) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal -1/2 binary32))) (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (-.f32 (neg.f32 x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))))) #s(literal 1/8 binary32) (*.f32 (-.f32 (neg.f32 x) x) (fma.f32 #s(literal -1/4 binary32) (fma.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal -1/32 binary32) (fma.f32 (*.f32 #s(literal -1/8 binary32) x) (-.f32 (neg.f32 x) x) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal -1/32 binary32)))) (*.f32 #s(literal 1/32 binary32) (fma.f32 (-.f32 (neg.f32 x) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))))))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/8 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal -1/32 binary32) (fma.f32 (*.f32 #s(literal -1/8 binary32) x) (-.f32 (neg.f32 x) x) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal -1/32 binary32)))) s)) s)))
(+ 2 (* 1/2 (/ (- (* -1 x) x) s)))
(fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 s s)) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 2 binary32))
(+ 2 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(fma.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (fma.f32 (-.f32 (neg.f32 x) x) (fma.f32 (neg.f32 x) x (*.f32 (fma.f32 (-.f32 (neg.f32 x) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal -1/2 binary32))) (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (-.f32 (neg.f32 x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32) (fma.f32 (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 s s)) #s(literal -1/2 binary32) #s(literal 2 binary32)))
(+ 1 (* 1/2 (/ (- (* -1 x) x) s)))
(fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (* 1/2 (/ (- (* -1 x) x) s))))
(fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 s s)) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1 binary32))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (pow s 2))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- (* -1 x) x))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -1 x) x) 2)) (* x (- (* -1 x) x))) (- (* -1 x) x))) (+ (* 1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- (* -1 x) x))))))) (pow s 3))))))
(fma.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (fma.f32 (-.f32 (neg.f32 x) x) (fma.f32 (neg.f32 x) x (*.f32 (fma.f32 (-.f32 (neg.f32 x) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal -1/2 binary32))) (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (-.f32 (neg.f32 x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32) (fma.f32 (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 s s)) #s(literal -1/2 binary32) #s(literal 1 binary32)))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x #s(literal 1 binary32))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal 1/2 binary32)) (pow.f32 s #s(literal 3 binary32))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32) (*.f32 #s(literal 0 binary32) x)) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (-.f32 s x)) s)
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32))
(+ 1 (+ (* 1/2 (/ x s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x #s(literal 1 binary32))
(+ 1 (+ (* 1/2 (/ x s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2))))))
(fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) x (/.f32 (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/8 binary32))) s)) (*.f32 s s)) (/.f32 x s)) #s(literal 1 binary32))
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s)) (* -1/32 (/ (pow (- x (* -1 x)) 2) s))) (* 1/8 (- x (* -1 x)))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -1/8 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal -1/32 binary32))) s)) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (+ (* 1/32 (/ (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x))) s)) (* 1/8 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s)))) (+ (* -1/8 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/32 (pow (- x (* -1 x)) 2)))) s)) (* 1/8 (- x (* -1 x)))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -1/8 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 (neg.f32 x) x (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal -1/2 binary32))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))))) #s(literal 1/8 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 #s(literal 2 binary32) x)) (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal -1/32 binary32))) (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 #s(literal 2 binary32) x)) (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32)))))) s) (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal -1/32 binary32)))) (neg.f32 s))) s))
(+ 2 (* -1/2 (/ (- x (* -1 x)) s)))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) s)) s) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (fma.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 (neg.f32 x) x (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal -1/2 binary32))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))))) s))) s) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1/2 binary32))) s))
(+ 1 (* -1/2 (/ (- x (* -1 x)) s)))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) s))) s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) s)) s) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* (pow x 2) (- x (* -1 x)))) (+ (* -1/2 (* (+ (* -1 (* x (- x (* -1 x)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (+ (* -1/6 (pow x 3)) (* 1/2 (* (pow x 2) (- x (* -1 x)))))))) s))) s)) (* 1/2 (- x (* -1 x)))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (fma.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 (neg.f32 x) x (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal -1/2 binary32))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))))) s))) s) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1/2 binary32))) s))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s)) (* 1/2 x)) s)))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/8 binary32))) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (-.f32 s x)) s)
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(/ (- (* -1 x) x) s)
(/.f32 (-.f32 (neg.f32 x) x) s)
(* -1 (* s (- (* -1 x) x)))
(*.f32 (-.f32 (neg.f32 x) x) (neg.f32 s))
(+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s))) s)))
(fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* -1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) x (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)

rewrite204.0ms (2.7%)

Memory
24.0MiB live, 163.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055350
088344
1320302
22115302
08301302
Stop Event
iter limit
node limit
iter limit
Counts
23 → 422
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))
#s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/.f32 #s(literal 1/4 binary32) s)
(fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s))
(-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))
(*.f32 (neg.f32 x) (neg.f32 s))
(fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(sqrt.f32 (exp.f32 (/.f32 x s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s)
Outputs
(*.f32 (neg.f32 (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (+.f32 (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (sqrt.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 x s))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
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(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))) (/.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) x))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)))
(fma.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 x s) #s(literal 1 binary32))
(fma.f32 x (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))))
(+.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))
(*.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) (neg.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))
(*.f32 (fabs.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) (fabs.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))
(*.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
(sqrt.f32 (exp.f32 (/.f32 x s)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) #s(literal 4 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))) #s(literal 2 binary32))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))
(-.f32 (cosh.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (sinh.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s))))
(-.f32 (cosh.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (sinh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 x) (/.f32 #s(literal 1/2 binary32) s))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))
(pow.f32 (*.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 x s))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (sinh.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(+.f32 (cosh.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (sinh.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))))
(exp.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) #s(literal 2 binary32)) (pow.f32 s #s(literal -2 binary32)))) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) #s(literal 3 binary32)) (pow.f32 s #s(literal -3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) #s(literal 2 binary32)) (+.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) (/.f32 #s(literal 1 binary32) s))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) (*.f32 s #s(literal 1 binary32)))) (*.f32 (neg.f32 s) s))
(/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) (neg.f32 s)) (*.f32 (neg.f32 s) #s(literal -1 binary32))) (*.f32 s s))
(/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s) (*.f32 (neg.f32 s) #s(literal 1 binary32))) (*.f32 (neg.f32 s) s))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) (neg.f32 s)) (*.f32 (*.f32 (neg.f32 s) s) #s(literal -1 binary32))) (*.f32 (*.f32 (neg.f32 s) s) (neg.f32 s)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) x) s) (*.f32 (*.f32 (neg.f32 s) s) #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 s) s) s))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) (neg.f32 s)) (*.f32 s #s(literal -1 binary32))) (*.f32 (neg.f32 s) s))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/.f32 (-.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal -1 binary32)) (neg.f32 s))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) #s(literal 2 binary32)) (pow.f32 s #s(literal -2 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) #s(literal 3 binary32)) (pow.f32 s #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) #s(literal 2 binary32)) (+.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s)))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 s)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(-.f32 (/.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)) (/.f32 (pow.f32 s #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)))
(-.f32 (/.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) #s(literal 3 binary32)) (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) #s(literal 2 binary32)) (+.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) (/.f32 #s(literal 1 binary32) s))))) (/.f32 (pow.f32 s #s(literal -3 binary32)) (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) #s(literal 2 binary32)) (+.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) (/.f32 #s(literal 1 binary32) s))))))
(-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) (*.f32 s s)) (/.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 s s)))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 3 binary32)) (*.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s)))
(-.f32 (/.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s))
(-.f32 (/.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)))) s) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)))) s))
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) (/.f32 #s(literal 1 binary32) s))
(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32))) s))
(neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (neg.f32 s)))

eval80.0ms (1.1%)

Memory
-35.8MiB live, 111.4MiB allocated
Compiler

Compiled 20 462 to 2 373 computations (88.4% saved)

prune96.0ms (1.3%)

Memory
8.2MiB live, 156.8MiB allocated
Pruning

84 alts after pruning (78 fresh and 6 done)

PrunedKeptTotal
New48524509
Fresh115465
Picked325
Done044
Total49984583
Accuracy
100.0%
Counts
583 → 84
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
45.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))
45.7%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
45.7%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
45.7%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
45.7%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
63.9%
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 2 binary32))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) s)) s) #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
34.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 1 binary32)))))
44.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (-.f32 s x)) s))))
40.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s)))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
44.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
44.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
57.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
57.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
24.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
12.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s) (*.f32 (*.f32 (neg.f32 s) s) (*.f32 (neg.f32 s) x))) (*.f32 (*.f32 (neg.f32 s) s) (*.f32 s s))))))
24.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fabs.f32 (*.f32 #s(literal 1/2 binary32) x)) x (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
33.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (neg.f32 s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
24.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
32.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
32.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s))))
33.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
33.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (fma.f32 (neg.f32 x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))) (*.f32 s s)))))
33.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s)))))
24.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x))))
23.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s)))))
44.7%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) s) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 (neg.f32 x) s (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 x (neg.f32 (neg.f32 s)) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 s x (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 s x)) (*.f32 s s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 s) x) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 s s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 x (neg.f32 (neg.f32 s))) (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 s x) (*.f32 (neg.f32 s) (*.f32 #s(literal 1 binary32) x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1 binary32) (neg.f32 x))) (neg.f32 s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (neg.f32 s) (+.f32 (neg.f32 x) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 (neg.f32 s)) (neg.f32 s))) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 (neg.f32 x) s) (/.f32 x s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 x s) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
29.4%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
34.4%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) s) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)))
9.7%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 (-.f32 (neg.f32 s) s) x) s))))
34.6%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
7.3%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
29.2%
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
34.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 6 081 to 2 463 computations (59.5% saved)

regimes196.0ms (2.6%)

Memory
4.2MiB live, 328.1MiB allocated
Counts
123 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
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(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (neg.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x)) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) s)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) s) #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 s) s) (neg.f32 (neg.f32 s)))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 (neg.f32 s))) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s) (*.f32 (*.f32 (neg.f32 s) s) (*.f32 (neg.f32 s) x))) (*.f32 (*.f32 (neg.f32 s) s) (*.f32 s 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) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(pow.f32 (pow.f32 (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 2 binary32))) (sqrt.f32 (exp.f32 (/.f32 x s))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))))))
Calls

7 calls:

30.0ms
s
30.0ms
x
30.0ms
(neg.f32 x)
28.0ms
(/.f32 (neg.f32 x) s)
26.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
99.9%1(neg.f32 x)
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(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(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1x
99.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes252.0ms (3.4%)

Memory
-7.7MiB live, 232.8MiB allocated
Counts
114 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1 binary32) (neg.f32 x))) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) s) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 x s) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 (neg.f32 x) s) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 s x (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 (-.f32 (neg.f32 s) s) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 s x)) (*.f32 s s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 (neg.f32 s)) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (neg.f32 s) (+.f32 (neg.f32 x) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 x (neg.f32 (neg.f32 s)) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 (neg.f32 x) s (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 s) x) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 x (neg.f32 (neg.f32 s))) (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 s x) (*.f32 (neg.f32 s) (*.f32 #s(literal 1 binary32) x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 1 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 (neg.f32 (neg.f32 s)) x)) (*.f32 (neg.f32 (neg.f32 s)) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (fma.f32 (neg.f32 x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (neg.f32 s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fabs.f32 (*.f32 #s(literal 1/2 binary32) x)) x (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (-.f32 s x)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) s) (*.f32 (*.f32 (neg.f32 s) s) #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 s) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 s)) (*.f32 s #s(literal -1 binary32))) (*.f32 (neg.f32 s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) (*.f32 (/.f32 s s) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (neg.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x)) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) s)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) s) #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 s) s) (neg.f32 (neg.f32 s)))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 (neg.f32 s))) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s) (*.f32 (*.f32 (neg.f32 s) s) (*.f32 (neg.f32 s) x))) (*.f32 (*.f32 (neg.f32 s) s) (*.f32 s 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) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(pow.f32 (pow.f32 (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

71.0ms
x
58.0ms
(neg.f32 x)
26.0ms
s
25.0ms
(/.f32 (neg.f32 x) s)
24.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
99.8%1(neg.f32 x)
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1x
99.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes181.0ms (2.4%)

Memory
23.8MiB live, 217.4MiB allocated
Counts
110 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
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(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (neg.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x)) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1/4 binary32))) s)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) s) #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 s) s) (neg.f32 (neg.f32 s)))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 (neg.f32 s))) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s) (*.f32 (*.f32 (neg.f32 s) s) (*.f32 (neg.f32 s) x))) (*.f32 (*.f32 (neg.f32 s) s) (*.f32 s s))))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))
Calls

7 calls:

35.0ms
(/.f32 (neg.f32 x) s)
26.0ms
x
25.0ms
s
25.0ms
(neg.f32 x)
23.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
82.0%2(neg.f32 x)
87.0%2(/.f32 (neg.f32 x) s)
87.0%2(exp.f32 (/.f32 (neg.f32 x) s))
87.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
87.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
82.0%2x
57.0%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes110.0ms (1.5%)

Memory
-7.6MiB live, 123.5MiB allocated
Counts
88 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1 binary32) (neg.f32 x))) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) s) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 x s) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 (neg.f32 x) s) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 s x (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 (-.f32 (neg.f32 s) s) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 s x)) (*.f32 s s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 (neg.f32 s)) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (neg.f32 s) (+.f32 (neg.f32 x) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 x (neg.f32 (neg.f32 s)) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 (neg.f32 x) s (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 s) x) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 x (neg.f32 (neg.f32 s))) (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 s x) (*.f32 (neg.f32 s) (*.f32 #s(literal 1 binary32) x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 1 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 (neg.f32 (neg.f32 s)) x)) (*.f32 (neg.f32 (neg.f32 s)) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (fma.f32 (neg.f32 x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (neg.f32 s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fabs.f32 (*.f32 #s(literal 1/2 binary32) x)) x (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (-.f32 s x)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
Calls

4 calls:

48.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
23.0ms
(/.f32 (neg.f32 x) s)
20.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
16.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
87.0%2(/.f32 (neg.f32 x) s)
87.0%2(exp.f32 (/.f32 (neg.f32 x) s))
87.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
87.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes105.0ms (1.4%)

Memory
-7.2MiB live, 95.4MiB allocated
Counts
75 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1 binary32) (neg.f32 x))) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) s) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 x s) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 (neg.f32 x) s) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 s x (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 (-.f32 (neg.f32 s) s) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 s x)) (*.f32 s s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 (neg.f32 s)) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (neg.f32 s) (+.f32 (neg.f32 x) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 x (neg.f32 (neg.f32 s)) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 (neg.f32 x) s (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 s) x) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 x (neg.f32 (neg.f32 s))) (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 s x) (*.f32 (neg.f32 s) (*.f32 #s(literal 1 binary32) x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 1 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 (neg.f32 (neg.f32 s)) x)) (*.f32 (neg.f32 (neg.f32 s)) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (fma.f32 (neg.f32 x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (neg.f32 s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fabs.f32 (*.f32 #s(literal 1/2 binary32) x)) x (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
Calls

4 calls:

52.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
22.0ms
(/.f32 (neg.f32 x) s)
14.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
13.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
87.2%3(/.f32 (neg.f32 x) s)
87.2%3(exp.f32 (/.f32 (neg.f32 x) s))
87.2%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
87.2%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes54.0ms (0.7%)

Memory
12.8MiB live, 101.2MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1 binary32) (neg.f32 x))) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) s) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 x s) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 (neg.f32 x) s) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 s x (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 (-.f32 (neg.f32 s) s) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 s x)) (*.f32 s s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 (neg.f32 s)) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (neg.f32 s) (+.f32 (neg.f32 x) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 x (neg.f32 (neg.f32 s)) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 (neg.f32 x) s (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 s) x) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 x (neg.f32 (neg.f32 s))) (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
Calls

4 calls:

16.0ms
(/.f32 (neg.f32 x) s)
14.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
11.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
11.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
86.3%3(exp.f32 (/.f32 (neg.f32 x) s))
86.3%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
86.3%3(/.f32 (neg.f32 x) s)
86.3%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes50.0ms (0.7%)

Memory
2.6MiB live, 103.6MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1 binary32) (neg.f32 x))) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) s) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 x s) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 (neg.f32 x) s) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 s x (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 (-.f32 (neg.f32 s) s) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 s x)) (*.f32 s s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 (neg.f32 s)) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (neg.f32 s) (+.f32 (neg.f32 x) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 x (neg.f32 (neg.f32 s)) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 (neg.f32 x) s (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
Calls

4 calls:

14.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
13.0ms
(/.f32 (neg.f32 x) s)
10.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
10.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
86.2%3(/.f32 (neg.f32 x) s)
86.2%3(exp.f32 (/.f32 (neg.f32 x) s))
86.2%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
86.2%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes70.0ms (0.9%)

Memory
-22.8MiB live, 172.7MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1 binary32) (neg.f32 x))) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) s) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 x s) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 (neg.f32 x) s) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (fma.f32 s x (*.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (*.f32 s x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (* (neg x) (neg s)) (* s (neg x))) (* (neg s) s))) 1/2) (*.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 (*.f32 (-.f32 (neg.f32 s) s) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 x) s) (*.f32 s x)) (*.f32 s s)) #s(literal 1/2 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
Calls

6 calls:

14.0ms
(/.f32 (neg.f32 x) s)
12.0ms
(neg.f32 x)
11.0ms
x
10.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
10.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
70.9%2x
70.9%2(neg.f32 x)
75.8%2(/.f32 (neg.f32 x) s)
75.8%2(exp.f32 (/.f32 (neg.f32 x) s))
75.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
75.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes26.0ms (0.4%)

Memory
7.2MiB live, 54.3MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1 binary32) (neg.f32 x))) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
Calls

4 calls:

8.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
75.7%2(/.f32 (neg.f32 x) s)
75.7%2(exp.f32 (/.f32 (neg.f32 x) s))
75.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
75.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes26.0ms (0.3%)

Memory
-2.9MiB live, 43.5MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1 binary32) (neg.f32 x))) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
Calls

4 calls:

8.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
75.7%2(/.f32 (neg.f32 x) s)
75.7%2(exp.f32 (/.f32 (neg.f32 x) s))
75.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
75.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes52.0ms (0.7%)

Memory
27.7MiB live, 80.1MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1 binary32) (neg.f32 x))) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
Calls

7 calls:

14.0ms
(neg.f32 x)
7.0ms
x
7.0ms
s
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
44.7%1s
52.7%2x
52.7%2(neg.f32 x)
53.1%2(/.f32 (neg.f32 x) s)
53.1%2(exp.f32 (/.f32 (neg.f32 x) s))
53.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
53.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes23.0ms (0.3%)

Memory
-11.4MiB live, 35.9MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (neg.f32 (-.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1/2 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
Calls

4 calls:

6.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
53.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
53.1%2(/.f32 (neg.f32 x) s)
53.1%2(exp.f32 (/.f32 (neg.f32 x) s))
53.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes26.0ms (0.3%)

Memory
-2.3MiB live, 44.8MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s)))))
Calls

6 calls:

6.0ms
(neg.f32 x)
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
51.4%2x
51.4%2(neg.f32 x)
51.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.5%2(/.f32 (neg.f32 x) s)
51.5%2(exp.f32 (/.f32 (neg.f32 x) s))
51.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes28.0ms (0.4%)

Memory
-4.1MiB live, 42.6MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) (neg.f32 s)) #s(literal 1/2 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
Calls

7 calls:

5.0ms
x
4.0ms
s
4.0ms
(neg.f32 x)
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
34.6%1s
34.6%1x
34.6%1(neg.f32 x)
34.6%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.6%1(/.f32 (neg.f32 x) s)
34.6%1(exp.f32 (/.f32 (neg.f32 x) s))
34.6%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes8.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Accuracy

Total -8.8b remaining (-41.9%)

Threshold costs -8.8b (-41.9%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

1.0ms
(neg.f32 x)
1.0ms
s
1.0ms
x
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
34.6%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.6%1x
34.6%1s
34.6%1(neg.f32 x)
34.6%1(/.f32 (neg.f32 x) s)
34.6%1(exp.f32 (/.f32 (neg.f32 x) s))
34.6%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6068719029426575
0.9452692866325378
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6068719029426575
0.9452692866325378
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6068719029426575
0.9452692866325378
0.0ms
0.0383373461663723
0.3527642488479614
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6068719029426575
0.9452692866325378
0.0ms
0.0383373461663723
0.3527642488479614
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6068719029426575
0.9452692866325378
0.0ms
0.0383373461663723
0.3527642488479614
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6068719029426575
0.9452692866325378
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6068719029426575
0.9452692866325378
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6068719029426575
0.9452692866325378
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0578995943069458
1.647794246673584
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0578995943069458
1.647794246673584
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.834754467010498
26.084226608276367
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify55.0ms (0.7%)

Memory
-17.8MiB live, 78.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0136778
1219774
2409766
31144763
43483735
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.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 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/268435456 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) #s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/268435456 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) #s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/268435456 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) #s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 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))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s))))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (exp (/ (neg x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.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 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/268435456 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) #s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/268435456 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/268435456 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) #s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/268435456 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/268435456 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) #s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/268435456 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 13421773/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 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))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s))))))
#s(approx (/ 1 (+ 1 (/ (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ x s)))))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* -1/8 (/ (- (neg x) x) s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness1.7s (22.4%)

Memory
22.2MiB live, 1 381.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140377
1435345
21607341
08697311
0827
01327
14327
221827
3203227
0907127
055350
088344
1320302
22115302
08301302
041295
071292
1252289
21714267
08194267
04242114
114131890
253771826
083611695
065462
0101461
1362446
22596424
08911416
04712379
115702162
259812122
086201994
04412240
114702025
256921991
083401868
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 723 to 714 computations (58.6% saved)

preprocess94.0ms (1.3%)

Memory
16.1MiB live, 118.3MiB allocated
Compiler

Compiled 1 512 to 282 computations (81.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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