Logistic function

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze39.0ms (0.5%)

Memory
21.0MiB live, 67.0MiB 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)

sample1.2s (17.1%)

Memory
-5.6MiB live, 1 042.3MiB allocated
Samples
794.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 600.0ms
const: 154.0ms (25.7% of total)
ival-div: 141.0ms (23.5% of total)
ival-exp: 112.0ms (18.7% of total)
ival-neg: 62.0ms (10.3% of total)
ival-add: 60.0ms (10% of total)
ival-<=: 43.0ms (7.2% of total)
ival-and: 11.0ms (1.8% of total)
exact: 10.0ms (1.7% of total)
adjust: 3.0ms (0.5% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain178.0ms (2.4%)

Memory
26.8MiB live, 118.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
14(0.03118971735239029 4.2705873056547716e-5)1(-7.027619943387626e-17 8.386884009336537e-19)(exp.f32 (/.f32 (neg.f32 x) s))
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
00-0-(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))sensitivity43
/.f32(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))n/o10
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))overflow109
(/.f32 (neg.f32 x) s)overflow53
(exp.f32 (/.f32 (neg.f32 x) s))overflow109
Confusion
Predicted +Predicted -
+11
-4250
Precision
0.2
Recall
0.5
Confusion?
Predicted +Predicted MaybePredicted -
+110
-41249
Precision?
0.2857142857142857
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms512×0valid
Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 8.0ms (42.1% of total)
ival-exp: 4.0ms (21% of total)
ival-add: 3.0ms (15.8% of total)
ival-neg: 3.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess160.0ms (2.2%)

Memory
-16.3MiB live, 131.1MiB 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
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify137.0ms (1.9%)

Memory
11.5MiB live, 113.1MiB 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

localize50.0ms (0.7%)

Memory
-9.8MiB live, 36.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f32 x)
accuracy0.015625
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy0.05594503162065376
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy0.06782116334341047
(exp.f32 (/.f32 (neg.f32 x) s))
Samples
44.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (36.6% of total)
ival-exp: 2.0ms (24.4% of total)
ival-add: 1.0ms (12.2% of total)
ival-neg: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB 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
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))
2.0ms
x
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
1.0ms
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))

simplify164.0ms (2.3%)

Memory
-20.9MiB live, 167.6MiB 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)))

rewrite202.0ms (2.8%)

Memory
22.7MiB live, 306.8MiB 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)

eval50.0ms (0.7%)

Memory
-13.9MiB live, 128.6MiB allocated
Compiler

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

prune30.0ms (0.4%)

Memory
35.4MiB live, 74.4MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New45617473
Fresh000
Picked011
Done000
Total45618474
Accuracy
99.8%
Counts
474 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.5%
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
4.1%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
30.8%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
36.4%
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)))))
71.7%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
99.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
28.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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))) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
99.7%
(/.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))))))
99.7%
(/.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 (neg.f32 x) s))))))
99.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.3%
(/.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)))))
34.3%
(/.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)))))
34.3%
(/.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))))
34.3%
(/.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))))
42.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
36.5%
(*.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)))
34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 751 to 510 computations (32.1% saved)

simplify126.0ms (1.7%)

Memory
-10.9MiB live, 181.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
cost-diff0
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
cost-diff0
(/.f32 (-.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))))
cost-diff2
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)))))
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 (neg.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 (neg.f32 x) s))))))
cost-diff8
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
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
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff0
(exp.f32 (/.f32 x s))
cost-diff0
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
cost-diff1
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040323
067301
1111301
2254295
3778295
42860295
08825295
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
#s(literal -1 binary32)
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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)
(/.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 (neg.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 (neg.f32 x) s)))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.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
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)))))
#s(literal 1 binary32)
(/.f32 (-.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 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(literal -2 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)
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
#s(literal -1 binary32)
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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)
(/.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 (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) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.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 (neg.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
(/.f32 #s(literal 1 binary32) (/.f32 (-.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) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
#s(literal 1 binary32)
(/.f32 (-.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 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(literal -2 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)

localize125.0ms (1.7%)

Memory
4.4MiB live, 194.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.06989515352474879
(exp.f32 (/.f32 x s))
accuracy1.8587418009624026
(/.f32 (-.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))))
accuracy5.812258120090291
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
accuracy5.976631028773829
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy0.0546875
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy0.05594503162065376
(/.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 (neg.f32 x) s))))))
accuracy0.06782116334341047
(exp.f32 (/.f32 (neg.f32 x) s))
accuracy0.2584435860055023
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy2.2444277168061215
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)
accuracy12.318104624560235
#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)))
accuracy18.48430293030651
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy19.714731742784103
(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))
accuracy10.59665144892495
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy0.015625
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
accuracy0.05594503162065376
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
accuracy0.06989515352474879
(exp.f32 (/.f32 x s))
accuracy0.09123425953631538
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
Samples
46.0ms127×0valid
22.0ms40×1valid
21.0ms89×0exit
Compiler

Compiled 289 to 39 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-div: 19.0ms (26.8% of total)
ival-pow: 13.0ms (18.3% of total)
ival-mult: 8.0ms (11.3% of total)
ival-exp: 7.0ms (9.9% of total)
ival-add: 5.0ms (7.1% of total)
adjust: 4.0ms (5.6% of total)
ival-sub: 4.0ms (5.6% of total)
const: 4.0ms (5.6% of total)
ival-expm1: 2.0ms (2.8% of total)
ival-sqrt: 2.0ms (2.8% of total)
ival-neg: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series88.0ms (1.2%)

Memory
-26.6MiB live, 114.6MiB allocated
Counts
21 → 138
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.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 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.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 (neg.f32 x) s))))))
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.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))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
(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)
(exp.f32 (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Outputs
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
-1
(- (/ x s) 1)
(- (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) 1)
(- (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))) 1)
1
(+ 1 (/ x s))
(+ 1 (* 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 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 (* -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)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* x (- (* 7/80 (/ 1 (pow s 4))) (+ (* 1/48 (/ 1 (pow s 4))) (* 1/4 (* s (- (* 8/5 (/ 1 (pow s 5))) (* 4/3 (/ 1 (pow s 5))))))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ x s))
(* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(+ 1 (* -2 (/ x s)))
(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
(+ 1/2 (* -1/6 (/ x s)))
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ -1 (exp (/ x s)))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (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))))))
(exp (* -1 (/ x s)))
(sqrt (exp (* -1 (/ x s))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (/ 1 (pow (exp (/ x s)) 2))))
(/ (- 1 (/ 1 (pow (exp (/ x s)) 2))) (- 1 (exp (* -1 (/ x s)))))
(- 1 (/ 1 (pow (exp (/ x s)) 2)))
(/ 1 (pow (exp (/ x s)) 2))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(- 1 (exp (* -1 (/ x s))))
(* -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)))))
(/ (+ (* -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))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (pow x 2)) (pow s 2))) (+ 1 (* -1 (/ x s))))
(- (* -1 (/ (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ 1 (+ (* -1 (/ x s)) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1/2 (* -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)
(/ (- (+ (* -1/6 (/ (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 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 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 (* -1/4 (/ x s))) (* 1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (* s x))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* 1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (* s x))) (+ (* 1/4 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))) (* (pow s 2) x))) (* 1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* -1/4 x) (* 1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) (* (pow s 2) x))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* 1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (* s x))) (+ (* 1/4 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))) (* (pow s 2) x))) (+ (* 1/4 (/ (+ (* -2 (* x (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))))) (+ (* -2 (* x (+ (* 1/3 (pow x 3)) (pow x 3)))) (+ (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))))) (* (pow s 3) x))) (+ (* 1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* -1/4 x) (* 1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) (* (pow s 2) x))) (+ (* 1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))) x)) (* 1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* -1/4 x) (* 1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) x))))) (* (pow s 3) x))) (* 1/2 (/ (* (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))) (- (* -1/4 x) (* 1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) (* (pow s 3) x)))))))))
(- (+ 2 (+ (* -4 (/ x s)) (* 2 (/ x s)))) (* -1 (/ x s)))
(- (+ 2 (+ (* -4 (/ x s)) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* -2 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2))) (+ (* 2 (/ x s)) (/ (pow x 2) (pow s 2))))))) (+ (* -1 (/ x s)) (* -1/2 (/ (* x (- (+ (* -4 x) (* 2 x)) (* -1 x))) (pow s 2)))))
(- (+ 2 (+ (* -4 (/ x s)) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* -2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) (pow s 3))) (+ (* -2 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2))) (+ (* -2 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))) (pow s 3))) (+ (* -2 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (pow s 3))) (+ (* 1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/4 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ x s)) (/ (pow x 2) (pow s 2))))))))))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (+ (* -4 x) (* 2 x)) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (+ (* -4 (pow x 2)) (+ (* -2 (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) (pow x 2))) (* -1/2 (* x (- (+ (* -4 x) (* 2 x)) (* -1 x)))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (* 1/6 (/ (* (pow x 2) (- (+ (* -4 x) (* 2 x)) (* -1 x))) (pow s 3))))))))
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* 2 x) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -4 (/ (pow x 3) (pow s 2))) (+ (* -2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) (pow s 2))) (+ (* 1/3 (/ (pow x 3) (pow s 2))) (+ (* 2 x) (+ (* 2 (/ (pow x 2) s)) (/ (pow x 3) (pow s 2)))))))) s)
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -4 (/ (pow x 3) (pow s 2))) (+ (* -2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) (pow s 2))) (+ (* -2 (/ (* x (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3))))) (pow s 3))) (+ (* -2 (/ (* x (+ (* 1/3 (pow x 3)) (pow x 3))) (pow s 3))) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) (pow s 3))) (+ (* 1/12 (/ (pow x 4) (pow s 3))) (+ (* 1/4 (/ (pow x 4) (pow s 3))) (+ (* 1/3 (/ (pow x 3) (pow s 2))) (+ (* 1/3 (/ (pow x 4) (pow s 3))) (+ (* 2 x) (+ (* 2 (/ (pow x 2) s)) (/ (pow x 3) (pow s 2)))))))))))))) s)
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2)))) (* 2 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))) (pow s 3)))) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)
(/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)
(/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) s)) (/ (pow x 2) s)) x) s)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (/ (* x (+ (* -1/2 (pow x 2)) (pow x 2))) s))) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) x) s)) 1)
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -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 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) 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 (/ (- (* 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 (/ (- (* 1/4 x) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* -1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* 1/4 x) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) x)) (* -1/4 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)))) s)) (* 1/4 x)) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* 1/12 (pow x 2)) (+ (* -1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* 1/4 x) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) x)) (* -1/4 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x))))) x)) (+ (* -1/2 (/ (* (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) (- (* 1/4 x) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) x)) (* -1/4 (/ (+ (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 2 (* x (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))))) (* 2 (* x (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))))))))) x))))) s)) (* 1/12 (pow x 2))) (+ (* -1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* 1/4 x) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) x)) (* -1/4 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)))) s)) (* 1/4 x)) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x))) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) (* -1 (/ (- (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x))))) s))) x) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)) (* -1 (/ (- (* -1 (/ (+ (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 2 (* x (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))))) (* 2 (* x (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))))))))) x)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x))) (* 1/2 (* x (- (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x)))))))))) s))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x))))) s))) x) s)))
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) s))) s))
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) s)) (* 2 (pow x 2)))) s))) s))
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 2 (* x (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))))) (* 2 (* x (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))))))))) s)) (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))) s)) (* 2 (pow x 2)))) s))) s))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow x 2) s)) (* 2 (/ (pow x 2) s))) (* -2 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) s)) (+ (* -1/3 (/ (pow x 3) s)) (+ (* 2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* 4 (/ (pow x 3) s))))) (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* -2 x)) s)))
(* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))
Calls

6 calls:

TimeVariablePointExpression
44.0ms
x
@0
((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) 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)) (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (- 1 (pow (exp (/ x s)) -2)) (pow (exp (/ x s)) -2) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (exp (/ (neg x) s)) (- 1 (exp (/ (neg x) s))))
11.0ms
x
@inf
((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) 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)) (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (- 1 (pow (exp (/ x s)) -2)) (pow (exp (/ x s)) -2) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (exp (/ (neg x) s)) (- 1 (exp (/ (neg x) s))))
11.0ms
s
@-inf
((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) 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)) (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (- 1 (pow (exp (/ x s)) -2)) (pow (exp (/ x s)) -2) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (exp (/ (neg x) s)) (- 1 (exp (/ (neg x) s))))
8.0ms
s
@inf
((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) 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)) (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (- 1 (pow (exp (/ x s)) -2)) (pow (exp (/ x s)) -2) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (exp (/ (neg x) s)) (- 1 (exp (/ (neg x) s))))
5.0ms
x
@-inf
((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) 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)) (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (- 1 (pow (exp (/ x s)) -2)) (pow (exp (/ x s)) -2) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (exp (/ (neg x) s)) (- 1 (exp (/ (neg x) s))))

simplify208.0ms (2.8%)

Memory
25.4MiB live, 255.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08703920
130933597
085833390
Stop Event
iter limit
node limit
Counts
138 → 138
Calls
Call 1
Inputs
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
-1
(- (/ x s) 1)
(- (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) 1)
(- (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))) 1)
1
(+ 1 (/ x s))
(+ 1 (* 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 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 (* -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)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* x (- (* 7/80 (/ 1 (pow s 4))) (+ (* 1/48 (/ 1 (pow s 4))) (* 1/4 (* s (- (* 8/5 (/ 1 (pow s 5))) (* 4/3 (/ 1 (pow s 5))))))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ x s))
(* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(+ 1 (* -2 (/ x s)))
(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
(+ 1/2 (* -1/6 (/ x s)))
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ -1 (exp (/ x s)))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (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))))))
(exp (* -1 (/ x s)))
(sqrt (exp (* -1 (/ x s))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (/ 1 (pow (exp (/ x s)) 2))))
(/ (- 1 (/ 1 (pow (exp (/ x s)) 2))) (- 1 (exp (* -1 (/ x s)))))
(- 1 (/ 1 (pow (exp (/ x s)) 2)))
(/ 1 (pow (exp (/ x s)) 2))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(- 1 (exp (* -1 (/ x s))))
(* -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)))))
(/ (+ (* -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))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (pow x 2)) (pow s 2))) (+ 1 (* -1 (/ x s))))
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(- (+ 2 (+ (* -4 (/ x s)) (* 2 (/ x s)))) (* -1 (/ x s)))
(- (+ 2 (+ (* -4 (/ x s)) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* -2 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2))) (+ (* 2 (/ x s)) (/ (pow x 2) (pow s 2))))))) (+ (* -1 (/ x s)) (* -1/2 (/ (* x (- (+ (* -4 x) (* 2 x)) (* -1 x))) (pow s 2)))))
(- (+ 2 (+ (* -4 (/ x s)) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* -2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) (pow s 3))) (+ (* -2 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2))) (+ (* -2 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))) (pow s 3))) (+ (* -2 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (pow s 3))) (+ (* 1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/4 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ x s)) (/ (pow x 2) (pow s 2))))))))))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (+ (* -4 x) (* 2 x)) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (+ (* -4 (pow x 2)) (+ (* -2 (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) (pow x 2))) (* -1/2 (* x (- (+ (* -4 x) (* 2 x)) (* -1 x)))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (* 1/6 (/ (* (pow x 2) (- (+ (* -4 x) (* 2 x)) (* -1 x))) (pow s 3))))))))
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* 2 x) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -4 (/ (pow x 3) (pow s 2))) (+ (* -2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) (pow s 2))) (+ (* 1/3 (/ (pow x 3) (pow s 2))) (+ (* 2 x) (+ (* 2 (/ (pow x 2) s)) (/ (pow x 3) (pow s 2)))))))) s)
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -4 (/ (pow x 3) (pow s 2))) (+ (* -2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) (pow s 2))) (+ (* -2 (/ (* x (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3))))) (pow s 3))) (+ (* -2 (/ (* x (+ (* 1/3 (pow x 3)) (pow x 3))) (pow s 3))) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) (pow s 3))) (+ (* 1/12 (/ (pow x 4) (pow s 3))) (+ (* 1/4 (/ (pow x 4) (pow s 3))) (+ (* 1/3 (/ (pow x 3) (pow s 2))) (+ (* 1/3 (/ (pow x 4) (pow s 3))) (+ (* 2 x) (+ (* 2 (/ (pow x 2) s)) (/ (pow x 3) (pow s 2)))))))))))))) s)
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2)))) (* 2 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))) (pow s 3)))) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)
(/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)
(/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) s)) (/ (pow x 2) s)) x) s)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (/ (* x (+ (* -1/2 (pow x 2)) (pow x 2))) s))) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) x) s)) 1)
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -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 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) 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 (/ (- (* 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 (/ (- (* 1/4 x) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* -1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* 1/4 x) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) x)) (* -1/4 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)))) s)) (* 1/4 x)) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* 1/12 (pow x 2)) (+ (* -1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* 1/4 x) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) x)) (* -1/4 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x))))) x)) (+ (* -1/2 (/ (* (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) (- (* 1/4 x) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) x)) (* -1/4 (/ (+ (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 2 (* x (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))))) (* 2 (* x (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))))))))) x))))) s)) (* 1/12 (pow x 2))) (+ (* -1/2 (/ (* (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (- (* 1/4 x) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)))) x)) (* -1/4 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)))) s)) (* 1/4 x)) (* -1/4 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x))) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) (* -1 (/ (- (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x))))) s))) x) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)) (* -1 (/ (- (* -1 (/ (+ (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 2 (* x (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))))) (* 2 (* x (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))))))))) x)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x))) (* 1/2 (* x (- (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x)))))))))) s))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x))))) s))) x) s)))
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) s))) s))
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) s)) (* 2 (pow x 2)))) s))) s))
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 2 (* x (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))))) (* 2 (* x (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))))))))) s)) (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))) s)) (* 2 (pow x 2)))) s))) s))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow x 2) s)) (* 2 (/ (pow x 2) s))) (* -2 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) s)) (+ (* -1/3 (/ (pow x 3) s)) (+ (* 2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* 4 (/ (pow x 3) s))))) (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* -2 x)) s)))
(* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))
Outputs
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.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 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.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 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
-1
#s(literal -1 binary32)
(- (/ x s) 1)
(-.f32 (/.f32 x s) #s(literal 1 binary32))
(- (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) 1)
(-.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 1 binary32))
(- (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))) 1)
(-.f32 (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (/ x s))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.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 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 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 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s))
(+ 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 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.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 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #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 1/8 binary32) (/.f32 x (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) 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 (-.f32 (*.f32 (fma.f32 #s(literal -1/48 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1/2 binary32) s)) x #s(literal 1 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* x (- (* 7/80 (/ 1 (pow s 4))) (+ (* 1/48 (/ 1 (pow s 4))) (* 1/4 (* s (- (* 8/5 (/ 1 (pow s 5))) (* 4/3 (/ 1 (pow s 5))))))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (pow.f32 s #s(literal 4 binary32))) #s(literal 1/15 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 s #s(literal 5 binary32))) #s(literal 4/15 binary32)) s))) x) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(* 2 (/ x s))
(*.f32 (/.f32 x s) #s(literal 2 binary32))
(* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 2 binary32) s)) x)
(* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32)))) (/.f32 #s(literal 2 binary32) (*.f32 s s))) x (/.f32 #s(literal 2 binary32) s)) x)
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 4 binary32))) #s(literal -2/3 binary32) (/.f32 #s(literal 4/3 binary32) (pow.f32 s #s(literal 3 binary32)))) x) (/.f32 #s(literal 2 binary32) (*.f32 s s))) x (/.f32 #s(literal 2 binary32) s)) x)
(+ 1 (* -2 (/ x s)))
(fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 2 binary32) s)) x #s(literal 1 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(/ x s)
(/.f32 x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x)
(* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x)
(* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 x (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x)
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ -1 (exp (/ x s)))
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
(exp (/ x s))
(exp.f32 (/.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))
(* -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)))))
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(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (fma.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x))) (*.f32 (*.f32 x x) #s(literal -2 binary32))) (*.f32 #s(literal -1/4 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))))) x)) (*.f32 (*.f32 x x) #s(literal -2 binary32))) x) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 x x)) (*.f32 (*.f32 x x) #s(literal -2 binary32)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2/3 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))) (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x)))))) x))) (neg.f32 s))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x))) (*.f32 (*.f32 x x) #s(literal -2 binary32))) (*.f32 #s(literal -1/4 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))))) x)) s) #s(literal -1 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x)))) s))
(+ 2 (* -1 (/ (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) x) s))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) (* -1 (/ (- (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x))))) s))) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))) (neg.f32 x)) (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s)) x) s))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)) (* -1 (/ (- (* -1 (/ (+ (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 2 (* x (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))))) (* 2 (* x (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))))))))) x)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x))) (* 1/2 (* x (- (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) x)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x)))))))))) s))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) x)) x))))) s))) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) (/.f32 (-.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))) (neg.f32 x)) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 x x)) (*.f32 (*.f32 x x) #s(literal -2 binary32)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2/3 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))))))) (neg.f32 x)) (fma.f32 #s(literal 1/12 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))) (neg.f32 x)) (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))))))) s)) (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s)) x) s))
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) s))) s))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) x)) (neg.f32 s))
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (/ (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) s)) (* 2 (pow x 2)))) s))) s))
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 (fma.f32 (*.f32 x x) #s(literal -2 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))) (neg.f32 s))) s)) (neg.f32 s))
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 2 (* x (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))))) (* 2 (* x (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))))))))) s)) (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3)))))) s)) (* 2 (pow x 2)))) s))) s))
(/.f32 (fma.f32 #s(literal -2 binary32) x (/.f32 (fma.f32 (*.f32 x x) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 x x)) (*.f32 (*.f32 x x) #s(literal -2 binary32)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2/3 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))))))) (neg.f32 s)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32))))) (neg.f32 s))) (neg.f32 s))) (neg.f32 s))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow x 2) s)) (* 2 (/ (pow x 2) s))) (* -2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (/.f32 (*.f32 x x) s) x)) s))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) s)) (+ (* -1/3 (/ (pow x 3) s)) (+ (* 2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* 4 (/ (pow x 3) s))))) (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* -2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -4/3 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32)))) s) (*.f32 (*.f32 x x) #s(literal -2 binary32))) (neg.f32 s)) (*.f32 #s(literal -2 binary32) x)) s))
(* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 s)) x) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal 1/24 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 s)) x) (neg.f32 s))

rewrite239.0ms (3.3%)

Memory
21.5MiB live, 337.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040259
067224
1231217
21566206
08768206
Stop Event
iter limit
node limit
iter limit
Counts
21 → 927
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.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 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.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 (neg.f32 x) s))))))
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.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))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
(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)
(exp.f32 (/.f32 (neg.f32 x) s))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Outputs
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (+.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))))))
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(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.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 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3/2 binary32))) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/4 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3/2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/4 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (+.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) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (-.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) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.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 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/4 binary32)) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3/2 binary32))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/4 binary32)) (pow.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.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 #s(literal -2 binary32)) (/.f32 x s)))) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (/.f32 (*.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))

eval473.0ms (6.5%)

Memory
-60.4MiB live, 231.4MiB allocated
Compiler

Compiled 25 611 to 3 471 computations (86.4% saved)

prune69.0ms (0.9%)

Memory
-15.9MiB live, 190.0MiB allocated
Pruning

55 alts after pruning (50 fresh and 5 done)

PrunedKeptTotal
New62743670
Fresh5712
Picked145
Done011
Total63355688
Accuracy
99.8%
Counts
688 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.5%
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
30.8%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
36.4%
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)))))
36.5%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
56.4%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
71.7%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
99.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
34.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
54.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
54.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
53.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
42.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 1 binary32)))))
53.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (*.f32 x x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
28.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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))) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
99.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
42.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
34.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
34.3%
(/.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)))))
45.1%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) x) s))))
42.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
42.2%
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) (/.f32 x s))))
42.2%
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
34.3%
(/.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) (neg.f32 s)) #s(literal -1 binary32)) (neg.f32 s)) x #s(literal 2 binary32))))
34.3%
(/.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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) (neg.f32 s)) (*.f32 s #s(literal -1 binary32))) (*.f32 (neg.f32 s) s)) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x) s) (*.f32 (*.f32 (neg.f32 s) s) #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 s) s) s)) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.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 #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) x #s(literal 2 binary32))))
42.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
34.3%
(/.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) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.3%
(/.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)) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.3%
(/.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))))
34.3%
(/.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))))
34.3%
(/.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)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.3%
(/.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))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
34.3%
(/.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 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
34.3%
(/.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 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
34.3%
(/.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 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))))
57.5%
(/.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))))
37.2%
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))))))
28.2%
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32)))))
28.8%
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x))) s)))
34.3%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
34.3%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
28.7%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/4 binary32) x)) s)))
34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 959 to 2 100 computations (29% saved)

simplify102.0ms (1.4%)

Memory
4.7MiB live, 195.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
cost-diff1
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
cost-diff2
(*.f32 s #s(literal 1 binary32))
cost-diff4
(*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
cost-diff0
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
cost-diff3
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
cost-diff4
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s))
cost-diff11
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))
cost-diff0
#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) #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
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
cost-diff0
(/.f32 x s)
cost-diff0
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
cost-diff0
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
cost-diff2
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058517
099461
1192459
2669416
33256416
08244404
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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(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
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(/.f32 x s)
#s(literal -1/2 binary32)
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.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)
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))
(*.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(literal -1/2 binary32)
(*.f32 x x)
x
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/8 binary32) (*.f32 x x))
#s(literal -1/8 binary32)
(*.f32 s s)
s
#s(literal -1 binary32)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 x s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s 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) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
(-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(*.f32 s #s(literal 1 binary32))
(*.f32 s 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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(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
(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)
#s(literal -1/2 binary32)
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.f32 #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 (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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.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))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.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))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.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(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s))
#s(literal 0 binary32)
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))
#s(literal 0 binary32)
(*.f32 #s(literal -1/2 binary32) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 x x)
x
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/8 binary32) (*.f32 x x))
#s(literal -1/8 binary32)
(*.f32 s s)
s
#s(literal -1 binary32)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 x s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s)
(-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32)))
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(*.f32 s #s(literal 1 binary32))
s
(*.f32 s s)
#s(literal 2 binary32)

localize173.0ms (2.4%)

Memory
24.8MiB live, 314.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.760425009983849
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
accuracy12.318104624560235
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))
accuracy17.159338384059396
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))
accuracy18.54065272134574
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy9.525977102805676
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
accuracy11.743276823802818
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
accuracy17.825676114281087
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))
accuracy18.535994629952796
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy0.109375
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
accuracy2.6813505884052065
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
accuracy12.324321336456551
#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)))
accuracy15.936461977097368
(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))
accuracy0.0
(/.f32 x s)
accuracy11.743276823802818
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
accuracy19.034853841947463
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy0.05594503162065376
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
accuracy0.06782116334341047
(exp.f32 (/.f32 (neg.f32 x) s))
accuracy0.09140134254663358
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
accuracy0.2584435860055023
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
Samples
89.0ms166×0valid
32.0ms89×0exit
1.0ms1valid
Compiler

Compiled 410 to 56 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 25.0ms (35% of total)
ival-div: 17.0ms (23.8% of total)
ival-add: 11.0ms (15.4% of total)
ival-exp: 6.0ms (8.4% of total)
const: 4.0ms (5.6% of total)
ival-sub: 3.0ms (4.2% of total)
ival-sqrt: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.8%)

Memory
-4.3MiB live, 138.5MiB allocated
Counts
27 → 117
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 x s)
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) 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) #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 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s))
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(*.f32 s #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp.f32 (/.f32 (neg.f32 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))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))
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)))))
(/ x s)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
0
(* 1/2 x)
(* x (+ 1/2 (* -1/6 (/ x 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)))
(* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))
(/ 1 (+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))))
(+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s)))))
(sqrt (exp (* -1 (/ x s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(* -1/6 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(exp (* -1/2 (/ x 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))) (/ 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))))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 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))))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))
(* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))
(/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (* 1/4 (* s x))) (pow s 2))
(/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (* s (+ (* 1/4 x) (* 1/2 s)))) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
s
(/ (+ (* -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 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ 1/2 (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) 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 (+ (* -1 (/ x s)) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))) (pow s 3))) (+ (* -1/16 (/ (pow x 3) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (+ (* 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)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/8 (* x (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))) (+ (* 1/4 (+ (* -1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* -1/48 (pow x 3)) (* 1/2 (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))) (pow s 3))) (+ (* -1/16 (/ (pow x 3) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (+ (* 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 (+ (* -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))))))
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(/ (- (* 1/2 (/ x s)) 1) s)
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
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(+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) (* 1/4 (/ x s))))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x 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 (/ (+ 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)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s)))) s)))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) 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)))
Calls

6 calls:

TimeVariablePointExpression
26.0ms
x
@0
((* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (sqrt (exp (/ (neg x) s))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1) (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (* (/ x s) -1/2)) (exp (/ (neg x) s)) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) x) 2) (+ 1 (exp (/ (neg x) s))))
7.0ms
s
@0
((* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (sqrt (exp (/ (neg x) s))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1) (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (* (/ x s) -1/2)) (exp (/ (neg x) s)) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) x) 2) (+ 1 (exp (/ (neg x) s))))
5.0ms
s
@inf
((* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (sqrt (exp (/ (neg x) s))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1) (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (* (/ x s) -1/2)) (exp (/ (neg x) s)) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) x) 2) (+ 1 (exp (/ (neg x) s))))
5.0ms
x
@inf
((* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (sqrt (exp (/ (neg x) s))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1) (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (* (/ x s) -1/2)) (exp (/ (neg x) s)) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) x) 2) (+ 1 (exp (/ (neg x) s))))
5.0ms
x
@-inf
((* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (sqrt (exp (/ (neg x) s))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1) (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (* (/ x s) -1/2)) (exp (/ (neg x) s)) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) x) 2) (+ 1 (exp (/ (neg x) s))))

simplify181.0ms (2.5%)

Memory
-13.8MiB live, 262.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05042490
117671991
276031934
091661808
Stop Event
iter limit
node limit
Counts
117 → 116
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)))))
(/ x s)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
0
(* 1/2 x)
(* x (+ 1/2 (* -1/6 (/ x 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)))
(* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))
(/ 1 (+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))))
(+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s)))))
(sqrt (exp (* -1 (/ x s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(* -1/6 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(exp (* -1/2 (/ x 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))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* -1/6 (/ x s))
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(* -1/6 (/ (pow x 3) (pow s 3)))
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(* (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 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 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))))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))
(* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))
(/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (* 1/4 (* s x))) (pow s 2))
(/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (* s (+ (* 1/4 x) (* 1/2 s)))) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
s
(/ (+ (* -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 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ 1/2 (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) 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 (+ (* -1 (/ x s)) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))))
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(+ 2 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))) (pow s 3))) (+ (* -1/16 (/ (pow x 3) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (+ (* 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 (+ (* -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 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(/ (- (* 1/2 (/ x s)) 1) 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)) (* 1/8 (pow x 2))) (pow s 2))) (* 1/4 (/ x s))))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)) (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/4 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))) s)) (+ (* -1/8 (/ (* x (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s)) (* 1/4 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)))) (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)) (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s))) 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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x 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 (/ (+ 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)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s)))) s)))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) 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)))
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 (*.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 1 binary32))
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 (*.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))
(+ 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))
(/ x s)
(/.f32 x s)
(/ -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)
0
#s(literal 0 binary32)
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* x (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(/.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)
(* 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))
(* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s)))))
(+.f32 (exp.f32 (/.f32 (neg.f32 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 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* 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)
(* 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 (+ 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))
(* -1/6 (/ (pow x 2) s))
(*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) (*.f32 x x))
(* -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 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(*.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))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(* 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))
(* -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 (pow.f32 x #s(literal 3 binary32)) (-.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 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 (* 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))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.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)))) (*.f32 x 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 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) 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)))))
(/ (+ (* 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) (* 1/2 x)) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))
(/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))
#s(literal 0 binary32)
(* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))
#s(literal 0 binary32)
(/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (* 1/4 (* s x))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s #s(literal 0 binary32)) s) s)
(/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (* s (+ (* 1/4 x) (* 1/2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s #s(literal 0 binary32)) s) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
s
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) x (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s x)) (*.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 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
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(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s)) s))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s)))) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)) (neg.f32 s))
(+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x (/.f32 x s)) (*.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))

rewrite254.0ms (3.5%)

Memory
1.9MiB live, 346.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058406
099396
1368389
22805365
09626360
Stop Event
iter limit
node limit
iter limit
Counts
27 → 607
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 x s)
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) 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) #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 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s))
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(*.f32 s #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp.f32 (/.f32 (neg.f32 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))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))
Outputs
(*.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(*.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(*.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(*.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))
(fma.f32 (cosh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (*.f32 (sinh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(fma.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (cosh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (*.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (sinh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))
(+.f32 (cosh.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (sinh.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(+.f32 (*.f32 (cosh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (sinh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(+.f32 (*.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (cosh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (*.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (sinh.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))
(exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(*.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 (fabs.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) (fabs.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 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.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 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal -1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(+.f32 (cosh.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) (sinh.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))))))
(/.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32))))))
(fma.f32 (fabs.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))) (fabs.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (fabs.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (fabs.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (fabs.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (fabs.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (neg.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(*.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)))) (neg.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)))))
(*.f32 (fabs.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)))) (fabs.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32))) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(*.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (exp.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))
(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
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(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 x) (/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) s) s)))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) (neg.f32 s)) (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) s) (/.f32 x s) #s(literal 2 binary32))
(fma.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) s) s) s) x #s(literal 2 binary32))
(fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) (/.f32 x (*.f32 s s)) #s(literal 2 binary32))
(fma.f32 x (/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) s) s) #s(literal 2 binary32))
(+.f32 (/.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) s) x) #s(literal 3 binary32)) (pow.f32 s #s(literal 6 binary32))) (+.f32 (-.f32 #s(literal 4 binary32) (*.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) s) s) s) (*.f32 x #s(literal 2 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) s) x) #s(literal 2 binary32)) (pow.f32 s #s(literal 4 binary32))))) (/.f32 #s(literal 8 binary32) (+.f32 (-.f32 #s(literal 4 binary32) (*.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) s) s) s) (*.f32 x #s(literal 2 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) s) x) #s(literal 2 binary32)) (pow.f32 s #s(literal 4 binary32))))))
(+.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) s) s) (/.f32 x s)) #s(literal 2 binary32))
(+.f32 #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) s) s) (/.f32 x s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) s) (/.f32 x s) #s(literal 2 binary32)))

eval106.0ms (1.5%)

Memory
-5.6MiB live, 138.5MiB allocated
Compiler

Compiled 30 179 to 3 733 computations (87.6% saved)

prune47.0ms (0.6%)

Memory
32.2MiB live, 79.0MiB allocated
Pruning

41 alts after pruning (36 fresh and 5 done)

PrunedKeptTotal
New73621757
Fresh301545
Picked415
Done145
Total77141812
Accuracy
99.8%
Counts
812 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.5%
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
30.8%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
36.4%
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)))))
36.5%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
71.7%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
99.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
34.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
54.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
53.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
34.3%
(/.f32 #s(literal 1 binary32) (+.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)))
28.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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))) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
99.7%
(/.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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
99.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
42.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
34.3%
(/.f32 #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) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))))
34.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
34.3%
(/.f32 #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) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
34.3%
(/.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)))))
34.3%
(/.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)))))
34.3%
(/.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)))))
34.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 1 binary32)))))
34.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 1 binary32)))))
57.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
38.5%
(/.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 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s x)) (*.f32 s s))))))
40.3%
(/.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 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
42.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
53.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) s)) s))))
34.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) (neg.f32 s)) (*.f32 s #s(literal -1 binary32))) (*.f32 (neg.f32 s) s)) x #s(literal 2 binary32))))
34.3%
(/.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 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
36.5%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
37.2%
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))))))
34.3%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
29.9%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
46.2%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
7.5%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
29.5%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 928 to 1 355 computations (29.7% saved)

simplify127.0ms (1.7%)

Memory
-15.5MiB live, 126.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff1
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
cost-diff1
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
cost-diff2
(*.f32 s #s(literal 1 binary32))
cost-diff4
(*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s)
cost-diff0
(-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))
cost-diff0
#s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))
cost-diff0
(-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
cost-diff0
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
cost-diff0
(/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
cost-diff0
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
cost-diff0
#s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))
cost-diff0
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
cost-diff1
(+.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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071552
0105536
1201530
2695476
33360476
08195459
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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(*.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
#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
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
#s(literal -1 binary32)
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))))
#s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))
(-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s))
(-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x)
(*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))
(/.f32 (*.f32 x x) s)
(*.f32 x x)
x
s
#s(literal 1/2 binary32)
(neg.f32 s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
(-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s)
(/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s)
(*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x)
(+.f32 (*.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
#s(literal 1/2 binary32)
(*.f32 s #s(literal 1 binary32))
(*.f32 s 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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) 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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(fma.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) 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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))))
#s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
#s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) 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))
(exp.f32 #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(/.f32 x s)
x
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))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
#s(literal -1 binary32)
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) x) x) (neg.f32 s)) #s(literal 1 binary32)))))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) x) x) (neg.f32 s)) #s(literal 1 binary32))))
#s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))
#s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) x) x) (neg.f32 s)) #s(literal 1 binary32)))
(-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))
(-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) x) x) (neg.f32 s)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) x) x) (neg.f32 s))
(-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x)
(-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) x) x)
(*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) x)
(/.f32 (*.f32 x x) s)
(*.f32 (/.f32 x s) x)
(*.f32 x x)
x
s
#s(literal 1/2 binary32)
(neg.f32 s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #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 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
(/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) s)
(-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32)))
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s)
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x)
(*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(fma.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
#s(literal 1/2 binary32)
(*.f32 s #s(literal 1 binary32))
s
(*.f32 s s)
#s(literal 2 binary32)

localize154.0ms (2.1%)

Memory
-0.5MiB live, 331.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy1.4082132107073058
(*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s)
accuracy1.760425009983849
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
accuracy12.318104624560235
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))
accuracy17.38326733496901
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))
accuracy0.07421875
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s))
accuracy0.10312944064533353
(*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))
accuracy3.069100721098935
(/.f32 (*.f32 x x) s)
accuracy12.324321336456551
#s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))
accuracy0.015625
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
accuracy0.05594503162065376
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
accuracy0.09123425953631538
(/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
accuracy9.881090522971537
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
accuracy11.743276823802818
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
accuracy19.759324340801072
#s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))
accuracy0.0546875
(*.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
accuracy0.05594503162065376
(/.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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
accuracy0.0661999231118525
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
accuracy0.09140134254663358
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
Samples
66.0ms166×0valid
39.0ms89×0exit
1.0ms1valid
Compiler

Compiled 376 to 60 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 23.0ms (27% of total)
ival-div: 22.0ms (25.8% of total)
ival-add: 11.0ms (12.9% of total)
ival-exp: 8.0ms (9.4% of total)
ival-pow: 6.0ms (7% of total)
ival-sub: 5.0ms (5.9% of total)
const: 4.0ms (4.7% of total)
ival-neg: 3.0ms (3.5% of total)
ival-sqrt: 2.0ms (2.3% of total)
exact: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory
-17.9MiB live, 40.5MiB allocated
Counts
25 → 128
Calls
Call 1
Inputs
(+.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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(*.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
#s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))))
#s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))
(-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s)
(*.f32 s #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(/.f32 (*.f32 x x) s)
(*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))
Outputs
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
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
(- (/ 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 (/ 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 x)
(* x (+ 1/2 (* -1/6 (/ x s))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(+ 1/2 (* -1/6 (/ x s)))
(/ (pow x 2) s)
(* 1/2 (/ (pow x 2) s))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s)))))
(/ 1 (+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))))
(* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1 (/ x s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (/ 1 (exp (/ x s))))
(/ -1 (exp (/ x s)))
(exp (/ x s))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (- (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(exp (* -1/2 (/ x s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(+ 1 (exp (* -1 (/ x s))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (/ 1 s)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (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)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))
(/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (* 1/4 (* s x))) (pow s 2))
(/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (* s (+ (* 1/4 x) (* 1/2 s)))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s (+ x (* -1 s)))) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
s
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) 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))
(+ 2 (+ (* -1 (/ x s)) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))) (pow s 3))) (+ (* -1/16 (/ (pow x 3) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (+ (* 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)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/8 (* x (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))) (+ (* 1/4 (+ (* -1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* -1/48 (pow x 3)) (* 1/2 (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))) (pow s 3))) (+ (* -1/16 (/ (pow x 3) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (+ (* 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 (+ (* -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 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) (* 1/4 (/ x s))))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (pow x 2)) (pow s 2))) (+ 1 (* -1 (/ x s))))
(- (* -1 (/ (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ 1 (+ (* -1 (/ x s)) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s)) 1)
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)) (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/4 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))) s)) (+ (* -1/8 (/ (* x (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s)) (* 1/4 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)))) (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))) s)) (* 1/4 x)) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)) (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s))) 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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s)))) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) s)) (/ (pow x 2) s)) x) s)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (/ (* x (+ (* -1/2 (pow x 2)) (pow x 2))) s))) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) x) s)) 1)
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(- (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) 1)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) 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) (* 1/2 (/ (pow x 2) s))) 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)))
Calls

6 calls:

TimeVariablePointExpression
35.0ms
s
@0
((+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))))) (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (sqrt (exp (/ (neg x) s))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (- 1 (/ -1 (exp (/ x s)))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (- 1 (/ -1 (exp (/ x s)))) (/ -1 (exp (/ x s))) (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1) (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (+ (* -1/6 (/ x s)) 1/2) (exp (* (/ x s) -1/2)) (pow (exp -1/2) (/ x s)) (/ (* x x) s) (* (/ (* x x) s) 1/2) (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) (+ (* (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) x) 2) (+ 1 (exp (/ (neg x) s))))
4.0ms
x
@inf
((+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))))) (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (sqrt (exp (/ (neg x) s))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (- 1 (/ -1 (exp (/ x s)))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (- 1 (/ -1 (exp (/ x s)))) (/ -1 (exp (/ x s))) (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1) (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (+ (* -1/6 (/ x s)) 1/2) (exp (* (/ x s) -1/2)) (pow (exp -1/2) (/ x s)) (/ (* x x) s) (* (/ (* x x) s) 1/2) (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) (+ (* (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) x) 2) (+ 1 (exp (/ (neg x) s))))
3.0ms
x
@-inf
((+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))))) (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (sqrt (exp (/ (neg x) s))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (- 1 (/ -1 (exp (/ x s)))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (- 1 (/ -1 (exp (/ x s)))) (/ -1 (exp (/ x s))) (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1) (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (+ (* -1/6 (/ x s)) 1/2) (exp (* (/ x s) -1/2)) (pow (exp -1/2) (/ x s)) (/ (* x x) s) (* (/ (* x x) s) 1/2) (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) (+ (* (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) x) 2) (+ 1 (exp (/ (neg x) s))))
3.0ms
s
@inf
((+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))))) (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (sqrt (exp (/ (neg x) s))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (- 1 (/ -1 (exp (/ x s)))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (- 1 (/ -1 (exp (/ x s)))) (/ -1 (exp (/ x s))) (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1) (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (+ (* -1/6 (/ x s)) 1/2) (exp (* (/ x s) -1/2)) (pow (exp -1/2) (/ x s)) (/ (* x x) s) (* (/ (* x x) s) 1/2) (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) (+ (* (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) x) 2) (+ 1 (exp (/ (neg x) s))))
3.0ms
s
@-inf
((+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))))) (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (sqrt (exp (/ (neg x) s))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (- 1 (/ -1 (exp (/ x s)))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (- 1 (/ -1 (exp (/ x s)))) (/ -1 (exp (/ x s))) (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1) (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (+ (* -1/6 (/ x s)) 1/2) (exp (* (/ x s) -1/2)) (pow (exp -1/2) (/ x s)) (/ (* x x) s) (* (/ (* x x) s) 1/2) (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) (+ (* (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) x) 2) (+ 1 (exp (/ (neg x) s))))

simplify202.0ms (2.8%)

Memory
32.6MiB live, 223.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05632700
120122190
086322044
Stop Event
iter limit
node limit
Counts
128 → 127
Calls
Call 1
Inputs
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
1
(+ 1 (* -1 (/ 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
(- (/ 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 (/ 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 x)
(* x (+ 1/2 (* -1/6 (/ x s))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(+ 1/2 (* -1/6 (/ x s)))
(/ (pow x 2) s)
(* 1/2 (/ (pow x 2) s))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s)))))
(/ 1 (+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))))
(* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1 (/ x s))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (/ 1 (exp (/ x s))))
(/ -1 (exp (/ x s)))
(exp (/ x s))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (- (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(exp (* -1/2 (/ x s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(+ 1 (exp (* -1 (/ x s))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (/ 1 s)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (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)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))
(/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (* 1/4 (* s x))) (pow s 2))
(/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (* s (+ (* 1/4 x) (* 1/2 s)))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s (+ x (* -1 s)))) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
s
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) 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))
(+ 2 (+ (* -1 (/ x s)) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))) (pow s 3))) (+ (* -1/16 (/ (pow x 3) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (+ (* 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)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/8 (* x (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))) (+ (* 1/4 (+ (* -1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* -1/48 (pow x 3)) (* 1/2 (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))) (pow s 3))) (+ (* -1/16 (/ (pow x 3) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ (pow x 2) (pow s 2))) (+ (* 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 (+ (* -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 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) (* 1/4 (/ x s))))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (pow x 2)) (pow s 2))) (+ 1 (* -1 (/ x s))))
(- (* -1 (/ (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ 1 (+ (* -1 (/ x s)) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s)) 1)
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)) (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/4 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))) s)) (+ (* -1/8 (/ (* x (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s)) (* 1/4 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)))) (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))) s)) (* 1/4 x)) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)) (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s))) 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 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s)))) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) s)) (/ (pow x 2) s)) x) s)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (/ (* x (+ (* -1/2 (pow x 2)) (pow x 2))) s))) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) x) s)) 1)
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(- (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) 1)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) 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) (* 1/2 (/ (pow x 2) s))) 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)))
Outputs
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.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 (*.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))
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)))
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 (*.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 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 (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 x s) (/.f32 #s(literal -1/2 binary32) 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 (fma.f32 #s(literal -1/48 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) x (/.f32 #s(literal -1/2 binary32) s)) x #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (/ x s) 1)
(-.f32 (/.f32 x s) #s(literal 1 binary32))
(- (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) 1)
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x) #s(literal 1 binary32))
(- (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))) 1)
(-.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x) #s(literal 1 binary32))
(+ 1 (/ x s))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (fma.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 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* x (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) 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)
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(/.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)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/ (pow x 2) s)
(*.f32 x (/.f32 x s))
(* 1/2 (/ (pow x 2) s))
(*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32))
(/ x s)
(/.f32 x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)
(+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s)))))
(+.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(/ 1 (+ 1 (* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) #s(literal 1 binary32)))
(* (sqrt (exp (* -1 (/ x s)))) (exp (* -1/2 (/ x s))))
(exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(sqrt (exp (* -1 (/ x s))))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/ -1 (exp (/ x s)))
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(* -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 (* 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))) (*.f32 x x))
(* (pow x 2) (- (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(*.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (*.f32 x x))
(* -1/6 (/ (pow x 2) s))
(*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) (*.f32 x x))
(* -1/6 (/ (pow x 2) (pow s 3)))
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(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) x (fma.f32 (*.f32 x x) #s(literal 3/8 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32) (fma.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) (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32)))) (neg.f32 s)))) s)) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/4 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (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 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))) s)) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))) s)) (+ (* -1/8 (/ (* x (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s)) (* 1/4 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)))) (+ (* -1/8 (pow x 2)) (* 1/4 (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))) s) (/.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32) (fma.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) (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32)))) #s(literal 1/4 binary32) (*.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) x) #s(literal -1/8 binary32))) s)) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32)))) (neg.f32 s))) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) s)) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (pow x 3)) (+ (* 1/16 (pow x 3)) (+ (* 1/4 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))))))) s)) (+ (* 1/8 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) x (fma.f32 (*.f32 x x) #s(literal 3/8 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32) (fma.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) (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32)))) (neg.f32 s)))) s)) s))
(+ 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 (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))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 #s(literal 0 binary32) x (/.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)) #s(literal 1/8 binary32) (*.f32 (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) #s(literal -1/4 binary32))) s)) #s(literal 0 binary32)) (neg.f32 s))) s))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s)))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) #s(literal -1 binary32) x) s))
(- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) s)) (/ (pow x 2) s)) x) s)) 1)
(-.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (/ (* x (+ (* -1/2 (pow x 2)) (pow x 2))) s))) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) x) s)) 1)
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/3 binary32) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (neg.f32 s)) x) (neg.f32 s)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.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)) (neg.f32 s)) x) s))
(- (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) 1)
(-.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))
(* -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 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)) (neg.f32 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) (* 1/2 (/ (pow x 2) s))) s))
(/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) (neg.f32 s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))
(+ 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))

rewrite262.0ms (3.6%)

Memory
-20.7MiB live, 293.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070419
0103411
1406405
23123405
010287394
Stop Event
iter limit
node limit
iter limit
Counts
25 → 339
Calls
Call 1
Inputs
(+.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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(*.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
#s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))))
#s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))
(-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s)
(*.f32 s #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s))
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(/.f32 (*.f32 x x) s)
(*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))
Outputs
(/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))) (-.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))) (-.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))) #s(literal 3 binary32)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))) (-.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))) (-.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) 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 x) (/.f32 #s(literal -1/2 binary32) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.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 (neg.f32 x) s)) (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)) #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))))))))
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(/.f32 (-.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) s) x) #s(literal 2 binary32)) (pow.f32 s #s(literal 4 binary32))) #s(literal 4 binary32)) (-.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) s) s) (/.f32 x s)) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 8 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) s) x) #s(literal 3 binary32)) (pow.f32 s #s(literal 6 binary32)))) (+.f32 #s(literal 4 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) s) x) #s(literal 2 binary32)) (pow.f32 s #s(literal 4 binary32))) (*.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) s) s) s) (*.f32 x #s(literal 2 binary32))))))
(/.f32 (+.f32 #s(literal 8 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) s) x) #s(literal 3 binary32)) (pow.f32 s #s(literal 6 binary32)))) (+.f32 (-.f32 #s(literal 4 binary32) (*.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) s) s) s) (*.f32 x #s(literal 2 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) s) x) #s(literal 2 binary32)) (pow.f32 s #s(literal 4 binary32)))))
(-.f32 (/.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) s) x) #s(literal 2 binary32)) (pow.f32 s #s(literal 4 binary32))) (-.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) s) s) (/.f32 x s)) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.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) s) s) (/.f32 x s)) #s(literal 2 binary32))))
(-.f32 #s(literal 2 binary32) (*.f32 (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) s) s) s)) x))
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 x) (/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) s) s)))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) (neg.f32 s)) (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) s) (/.f32 x s) #s(literal 2 binary32))
(fma.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) s) s) s) x #s(literal 2 binary32))
(fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) (/.f32 x (*.f32 s s)) #s(literal 2 binary32))
(fma.f32 x (/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) s) s) #s(literal 2 binary32))
(+.f32 (/.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) s) x) #s(literal 3 binary32)) (pow.f32 s #s(literal 6 binary32))) (+.f32 (-.f32 #s(literal 4 binary32) (*.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) s) s) s) (*.f32 x #s(literal 2 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) s) x) #s(literal 2 binary32)) (pow.f32 s #s(literal 4 binary32))))) (/.f32 #s(literal 8 binary32) (+.f32 (-.f32 #s(literal 4 binary32) (*.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) s) s) s) (*.f32 x #s(literal 2 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) s) x) #s(literal 2 binary32)) (pow.f32 s #s(literal 4 binary32))))))
(+.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) s) s) (/.f32 x s)) #s(literal 2 binary32))
(+.f32 #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) s) s) (/.f32 x s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) s) s) (/.f32 x s) #s(literal 2 binary32)))

eval60.0ms (0.8%)

Memory
-10.2MiB live, 97.4MiB allocated
Compiler

Compiled 15 935 to 2 337 computations (85.3% saved)

prune73.0ms (1%)

Memory
-5.1MiB live, 190.6MiB allocated
Pruning

42 alts after pruning (33 fresh and 9 done)

PrunedKeptTotal
New4088416
Fresh62531
Picked055
Done145
Total41542457
Accuracy
99.8%
Counts
457 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.5%
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
30.8%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
36.4%
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)))))
36.5%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
71.7%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
99.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
34.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
55.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s))))))
54.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
53.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
40.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) #s(approx (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 binary32))))))
34.3%
(/.f32 #s(literal 1 binary32) (+.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)))
28.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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))) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
99.7%
(/.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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
99.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
34.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
34.3%
(/.f32 #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) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
34.3%
(/.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)))))
34.3%
(/.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)))))
34.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 1 binary32)))))
34.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 1 binary32)))))
57.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
42.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
53.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) s)) s))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) s) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
34.3%
(/.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 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
36.5%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
37.2%
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))))))
34.3%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
29.9%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
46.2%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s #s(literal 0 binary32)) s) s)))
29.5%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
7.5%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
46.2%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
7.5%
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
34.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 3 615 to 1 363 computations (62.3% saved)

regimes157.0ms (2.2%)

Memory
11.5MiB live, 392.4MiB allocated
Counts
90 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s #s(literal 0 binary32)) s) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x))) s)))
(/.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)))))
(/.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 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) #s(approx (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 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 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s x)) (*.f32 s 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 (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (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) (+.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 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) 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))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #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 x (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (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 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 1 binary32)))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) s)) s))))
(/.f32 #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) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (*.f32 x x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.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 (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 #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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal -1 binary32)) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.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 #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 (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) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (+.f32 (/.f32 x s) #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) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32) (*.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))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) 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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) 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 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) 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 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) 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 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #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 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) (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))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x) 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))) (fma.f32 (/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.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 (neg.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 (/.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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.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 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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))) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
Calls

7 calls:

25.0ms
s
25.0ms
(/.f32 (neg.f32 x) s)
24.0ms
(neg.f32 x)
23.0ms
x
20.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
99.7%1(neg.f32 x)
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1x
99.7%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes169.0ms (2.3%)

Memory
17.5MiB live, 249.5MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s #s(literal 0 binary32)) s) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x))) s)))
(/.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)))))
(/.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 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) #s(approx (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 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 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s x)) (*.f32 s 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 (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (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) (+.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 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) 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))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #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 x (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (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 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 1 binary32)))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) s)) s))))
(/.f32 #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) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (*.f32 x x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.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 (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 #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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal -1 binary32)) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.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 #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 (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) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (+.f32 (/.f32 x s) #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) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32) (*.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))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) 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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) 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 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) 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 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) 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 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #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 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) (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))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x) 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))) (fma.f32 (/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 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))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.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 (neg.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 (/.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)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
Calls

7 calls:

42.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
23.0ms
(/.f32 (neg.f32 x) s)
22.0ms
(neg.f32 x)
22.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
21.0ms
s
Results
AccuracySegmentsBranch
99.7%1(neg.f32 x)
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1x
99.7%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes175.0ms (2.4%)

Memory
-17.6MiB live, 223.4MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s #s(literal 0 binary32)) s) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x))) s)))
(/.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)))))
(/.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 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) #s(approx (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 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 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s x)) (*.f32 s 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 (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (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) (+.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 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) 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))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #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 x (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (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 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 1 binary32)))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) s)) s))))
(/.f32 #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) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (*.f32 x x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.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 (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 #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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal -1 binary32)) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.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 #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 (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) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (+.f32 (/.f32 x s) #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) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32) (*.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))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) 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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) 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 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) 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 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) 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 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #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 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) (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))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x) 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))) (fma.f32 (/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
Calls

7 calls:

42.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
36.0ms
x
21.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
20.0ms
(/.f32 (neg.f32 x) s)
18.0ms
s
Results
AccuracySegmentsBranch
99.7%1(neg.f32 x)
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1x
99.7%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes123.0ms (1.7%)

Memory
32.8MiB live, 325.4MiB allocated
Counts
72 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s #s(literal 0 binary32)) s) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x))) s)))
(/.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)))))
(/.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 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) #s(approx (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 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 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s x)) (*.f32 s 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 (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (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) (+.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 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) 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))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #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 x (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (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 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 1 binary32)))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) s)) s))))
(/.f32 #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) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (*.f32 x x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.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 (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 #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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal -1 binary32)) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.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 #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 (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) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (+.f32 (/.f32 x s) #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) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32) (*.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))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) 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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) 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 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) 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 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) 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 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #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 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) (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))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x) 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))) (fma.f32 (/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

21.0ms
s
18.0ms
(/.f32 (neg.f32 x) s)
17.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
17.0ms
x
17.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.7%1(neg.f32 x)
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1x
99.7%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes123.0ms (1.7%)

Memory
-6.1MiB live, 175.0MiB allocated
Counts
71 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s #s(literal 0 binary32)) s) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x))) s)))
(/.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)))))
(/.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 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) #s(approx (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 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 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s x)) (*.f32 s 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 (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (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) (+.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 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) 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))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #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 x (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (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 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 1 binary32)))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) s)) s))))
(/.f32 #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) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (*.f32 x x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.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 (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 #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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal -1 binary32)) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.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 #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 (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) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (+.f32 (/.f32 x s) #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) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32) (*.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))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) 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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) 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 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) 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 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) 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 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #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 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) (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))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x) 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))) (fma.f32 (/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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))) x #s(literal 2 binary32))))
Outputs
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s))))))
Calls

7 calls:

23.0ms
(neg.f32 x)
22.0ms
s
16.0ms
x
15.0ms
(/.f32 (neg.f32 x) s)
15.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
90.4%2(neg.f32 x)
95.5%2(/.f32 (neg.f32 x) s)
95.5%2(exp.f32 (/.f32 (neg.f32 x) s))
95.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
95.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
90.4%2x
62.1%2s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes38.0ms (0.5%)

Memory
-7.7MiB live, 38.2MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s #s(literal 0 binary32)) s) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) x))) s)))
(/.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)))))
(/.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 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) #s(approx (- (/ (- (* (/ (* x x) s) 1/2) x) (neg s)) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 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 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 1) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s x)) (*.f32 s 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 (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2))) (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) (+.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 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -2 binary32)) (neg.f32 x)) 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))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #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 x (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (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 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 1 binary32)))))
#s(approx (/ 1 (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (exp (* (/ x s) -1/2)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 3/8 binary32))) s)) s))))
(/.f32 #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) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ -1 (exp (/ x s))) (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (*.f32 x x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
Outputs
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
Calls

4 calls:

10.0ms
(/.f32 (neg.f32 x) s)
9.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
8.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
94.0%2(/.f32 (neg.f32 x) s)
94.0%2(exp.f32 (/.f32 (neg.f32 x) s))
94.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
94.0%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)

regimes22.0ms (0.3%)

Memory
24.3MiB live, 24.3MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (pow (exp (/ x s)) -2)) (- 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s #s(literal 0 binary32)) s) s)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32)))
Calls

6 calls:

4.0ms
(neg.f32 x)
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
69.6%2(neg.f32 x)
69.6%2x
74.2%2(/.f32 (neg.f32 x) s)
74.2%2(exp.f32 (/.f32 (neg.f32 x) s))
74.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
74.2%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)

regimes8.0ms (0.1%)

Memory
-35.8MiB live, 11.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

1.0ms
s
1.0ms
(neg.f32 x)
1.0ms
x
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
34.3%1s
34.3%1x
34.3%1(neg.f32 x)
34.3%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.3%1(/.f32 (neg.f32 x) s)
34.3%1(exp.f32 (/.f32 (neg.f32 x) s))
34.3%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
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.066050223558205e-37
4.386875452201504e-14
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.066050223558205e-37
4.386875452201504e-14
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
22795268390912.0
2.4593892119123915e+36
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify48.0ms (0.7%)

Memory
1.4MiB live, 58.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079277
1145274
2420256
32088253
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))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 11150373/22300745198530623141535718272648361505980416 binary32)) #s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 11150373/22300745198530623141535718272648361505980416 binary32)) #s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 39999999311872 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (sqrt (exp (/ (neg x) s))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 11150373/22300745198530623141535718272648361505980416 binary32)) #s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 11150373/22300745198530623141535718272648361505980416 binary32)) #s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 39999999311872 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #s(approx (/ 1 (- 1 (/ -1 (exp (/ x s))))) #s(approx (+ (* (/ (+ (* (* -1/2 (* x x)) -1/4) (* -1/8 (* x x))) (* s s)) -1) (+ (* 1/4 (/ x s)) 1/2)) #s(literal 0 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

derivations959.0ms (13.1%)

Memory
-0.4MiB live, 614.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058406
099396
1368389
22805365
09626360
08703920
130933597
085833390
0827
01327
14327
221827
3203227
0907127
05042490
117671991
276031934
091661808
05632700
120122190
086322044
040259
067224
1231217
21566206
08768206
0140377
1435345
21607341
08697311
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 277 to 83 computations (70% saved)

preprocess30.0ms (0.4%)

Memory
34.7MiB live, 34.7MiB allocated
Compiler

Compiled 572 to 182 computations (68.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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