Logistic function

Time bar (total: 10.5s)

analyze39.0ms (0.4%)

Memory
-3.3MiB live, 70.0MiB 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 (11.2%)

Memory
-136.3MiB live, 1 869.4MiB allocated
Samples
932.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 739.0ms
const: 369.0ms (49.9% of total)
ival-div: 113.0ms (15.3% of total)
ival-exp: 69.0ms (9.3% of total)
ival-add: 62.0ms (8.4% of total)
ival-<=: 56.0ms (7.6% of total)
ival-neg: 43.0ms (5.8% of total)
ival-and: 12.0ms (1.6% of total)
exact: 11.0ms (1.5% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess32.0ms (0.3%)

Memory
-6.5MiB live, 31.5MiB allocated
Algorithm
egg-herbie
Rules
204×exp-prod
124×exp-sum
120×times-frac
92×associate-/r*
66×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041
15041
211341
327141
455441
572141
679341
784241
890141
990341
089
0139
1219
2319
3449
4569
5709
6919
71129
81169
01169
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))

explain93.0ms (0.9%)

Memory
6.1MiB live, 167.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
02(7.613930997611666e-28 2.5962182642430632e-30)0-(exp.f32 (/.f32 (neg.f32 x) s))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(/.f32 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))sensitivity20
Confusion
Predicted +Predicted -
+00
-2254
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-20254
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
30.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41% of total)
ival-exp: 4.0ms (23.4% of total)
ival-neg: 3.0ms (17.6% of total)
ival-add: 2.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize27.0ms (0.3%)

Memory
-30.6MiB live, 45.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f32 x)
accuracy99.9%
(exp.f32 (/.f32 (neg.f32 x) s))
accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Samples
14.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (38.2% of total)
ival-exp: 2.0ms (25.4% of total)
ival-add: 1.0ms (12.7% of total)
ival-neg: 1.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))>
#<alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))>
#<alt (exp.f32 (/.f32 (neg.f32 x) s))>
#<alt (neg.f32 x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

21 calls:

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

rewrite389.0ms (3.7%)

Memory
-24.8MiB live, 356.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 358×lower-/.f64
4 354×lower-/.f32
3 830×lower-fma.f64
3 830×lower-fma.f32
3 688×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
01323
14823
225523
3210123
0846522
Stop Event
iter limit
node limit
iter limit
Counts
4 → 527
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))
(neg.f32 x)
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))))) #s(literal -1 binary32)) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal -1 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
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(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (-.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))) (/.f32 #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 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))) (neg.f32 x)))
(pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 x)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(pow.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 (neg.f32 x) s))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal -1 binary32)) x)
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (*.f32 x x))) (/.f32 #s(literal 1 binary32) x))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (exp.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 0 binary32) (*.f32 x x))) (exp.f32 (/.f32 x s)))
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 0 binary32) x)) (exp.f32 (/.f32 x s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(*.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 x)
(neg.f32 (log.f32 (exp.f32 x)))
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(pow.f32 (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 x (neg.f32 (*.f32 x x))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) x) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) x)
(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 x)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x x)) x)
(-.f32 (/.f32 #s(literal 0 binary32) x) x)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (neg.f32 (*.f32 x x)))))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 x x)))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32)))))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (*.f32 x x))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 (neg.f32 (*.f32 x x))))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32))))
(/.f32 (neg.f32 (*.f32 x x)) x)
(/.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 x x)))) x)
(/.f32 (fma.f32 (neg.f32 x) (*.f32 x x) #s(literal 0 binary32)) (fma.f32 x x (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal 0 binary32)))))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(*.f32 x #s(literal -1 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)))
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x))
(log.f32 (exp.f32 (neg.f32 x)))

simplify912.0ms (8.7%)

Memory
19.1MiB live, 765.5MiB allocated
Algorithm
egg-herbie
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
4 544×lower-*.f64
4 544×lower-*.f32
2 942×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140662
1378652
21147646
33893626
08438586
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)

eval128.0ms (1.2%)

Memory
19.8MiB live, 97.8MiB allocated
Compiler

Compiled 17 713 to 1 839 computations (89.6% saved)

prune300.0ms (2.9%)

Memory
-21.2MiB live, 174.8MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New6029611
Fresh000
Picked011
Done000
Total60210612
Accuracy
100.0%
Counts
612 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.3%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
29.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
55.5%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
54.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
43.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
56.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
46.3%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
64.2%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 295 to 196 computations (33.6% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize108.0ms (1%)

Memory
11.5MiB live, 217.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
accuracy95.2%
(/.f32 (*.f32 x (*.f32 x x)) s)
accuracy90.2%
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
accuracy89.0%
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
accuracy100.0%
(/.f32 x s)
accuracy99.7%
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
accuracy99.7%
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy99.3%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
accuracy100.0%
(/.f32 x s)
accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
accuracy98.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy99.9%
(expm1.f32 (/.f32 (neg.f32 x) s))
accuracy99.9%
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
accuracy99.8%
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
accuracy96.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
Samples
42.0ms174×0valid
26.0ms82×0exit
Compiler

Compiled 277 to 36 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 23.0ms (43.2% of total)
ival-mult: 12.0ms (22.5% of total)
ival-sub: 5.0ms (9.4% of total)
ival-add: 4.0ms (7.5% of total)
const: 4.0ms (7.5% of total)
ival-expm1: 3.0ms (5.6% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory
-8.6MiB live, 101.7MiB allocated
Counts
14 → 336
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))>
#<alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))>
#<alt (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))>
#<alt (expm1.f32 (/.f32 (neg.f32 x) s))>
#<alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))>
#<alt (-.f32 #s(literal 2 binary32) (/.f32 x s))>
#<alt (/.f32 x s)>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))>
#<alt (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))>
#<alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))>
#<alt (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))>
#<alt (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)>
#<alt (/.f32 (*.f32 x (*.f32 x x)) s)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt 1/2>
#<alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<alt (* -1/2 (/ s x))>
#<alt (/ (+ (* -1/2 s) (* -1/2 x)) x)>
#<alt (/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))>
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#<alt (- (exp (* -1 (/ x s))) 1)>
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#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)>
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#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (* -1 (/ s x))>
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#<alt (/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))>
#<alt (* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))>
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#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
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#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))>
#<alt 2>
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#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
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#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
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#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (/ x s))>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
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#<alt (+ 2 (* -1 (/ x s)))>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
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#<alt (/ x s)>
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#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
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#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
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#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
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#<alt 1/2>
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#<alt 2>
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#<alt 2>
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#<alt -1>
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#<alt -1>
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#<alt (* 1/2 (pow x 2))>
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#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
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#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
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#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
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#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
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#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
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#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
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#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (/ (pow x 3) s)>
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#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
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#<alt (/ (pow x 3) s)>
#<alt 1/2>
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#<alt (* -6 (/ (pow s 3) (pow x 3)))>
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#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
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#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
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#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
Calls

84 calls:

TimeVariablePointExpression
7.0ms
s
@0
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))
5.0ms
s
@inf
(* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1))
2.0ms
s
@-inf
(* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1))
1.0ms
x
@0
(* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1))
1.0ms
s
@-inf
(/ 1 (- 2 (/ x s)))

rewrite276.0ms (2.6%)

Memory
7.4MiB live, 654.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 854×lower-/.f64
4 834×lower-/.f32
4 170×lower-*.f64
4 162×lower-*.f32
2 590×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031142
060134
1260126
22268126
08444126
Stop Event
iter limit
node limit
iter limit
Counts
14 → 571
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
Outputs
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (exp.f32 (/.f32 x (neg.f32 s)))) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) #s(literal -1 binary32)))
(+.f32 (*.f32 (exp.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (exp.f32 (/.f32 x (neg.f32 s))) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) #s(literal -1 binary32)))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32))) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (+.f32 x x) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal -1 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))) (neg.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) #s(literal -1 binary32))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))) (neg.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (/.f32 x (neg.f32 s))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))
(*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (/.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))))
(*.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))))))
(*.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))
(*.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32)))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32)))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))))
(*.f32 (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32)))
(*.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(*.f32 (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))))))
(*.f32 (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))))
(*.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s)))))
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(expm1.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (/.f32 x s))))
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(pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal -1 binary32))
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(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))) s)))
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)))
(/.f32 (neg.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))))
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s))
(*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))))
(*.f32 (pow.f32 (/.f32 s (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))) s) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))))
(neg.f32 (/.f32 (*.f32 x (*.f32 x x)) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (*.f32 x (*.f32 x x)) s))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32))))
(/.f32 (*.f32 x (*.f32 x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(*.f32 x (/.f32 (*.f32 x x) s))
(*.f32 (*.f32 x x) (/.f32 x s))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 x x) s) x)
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (*.f32 x x) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (*.f32 x x) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (neg.f32 (*.f32 x x)) s))
(*.f32 (/.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 x (neg.f32 s)))
(*.f32 (/.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 x s))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 x s))
(*.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (neg.f32 x) #s(literal 3/2 binary32)) s))
(*.f32 (/.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 x #s(literal 3/2 binary32)) s))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s))) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s) #s(literal 3 binary32)))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s) (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s) #s(literal 2 binary32)) #s(literal 4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s) (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s) #s(literal 2 binary32)) #s(literal 4 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x)) (*.f32 s s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x)) (*.f32 s s)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s) x) s))) #s(literal -1 binary32)))

simplify339.0ms (3.2%)

Memory
-20.8MiB live, 700.8MiB allocated
Algorithm
egg-herbie
Rules
9 786×lower-fma.f64
9 786×lower-fma.f32
5 496×lower-*.f64
5 496×lower-*.f32
3 080×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07354064
122273862
270253832
080393524
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
1/2
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
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1/2
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(* -1/2 (/ s x))
(/ (+ (* -1/2 s) (* -1/2 x)) x)
(/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)
(/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x))))) (pow s 3))) (+ (* -1/3 (/ x (pow s 2))) (+ (* 1/2 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/3 x))) s)) (+ (* -1/3 (/ (pow x 2) s)) (* 1/6 (/ (pow x 2) s)))) (+ (* -1/2 x) (* 1/3 x))) s)) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -2 (/ x s))
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(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(* -2 (/ x s))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(* -2 (/ x s))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ x s))
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(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* -1 (/ s x))
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)
(/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)
(* -1 (/ s x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ s x))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
(* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
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) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/480 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
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(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* -1/6 (/ (pow x 3) s))
(*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))))
(* -1/6 (/ (pow x 3) s))
(*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) s))
(*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) s)
(* 1/2 (pow x 2))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* 1/2 (pow x 2))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) (neg.f32 s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 (/.f32 x (pow.f32 s #s(literal 4 binary32))) #s(literal 1/96 binary32) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) x)) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/.f32 (fma.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal -18 binary32) (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32)) (neg.f32 (*.f32 x x))))) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(/.f32 (-.f32 (-.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32))) s (fma.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal 72 binary32) (*.f32 #s(literal -108 binary32) (pow.f32 s #s(literal 6 binary32))))) (*.f32 x (*.f32 x x)))) (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal 54 binary32) (*.f32 x x)) (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -36 binary32) (*.f32 x x)) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal 18 binary32)) x)))) (*.f32 x (*.f32 x x)))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal 18 binary32)) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -18 binary32) x) (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32))) (neg.f32 x))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (neg.f32 (/.f32 (fma.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32) (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32) (fma.f32 (pow.f32 s #s(literal 6 binary32)) (/.f32 #s(literal -108 binary32) x) (fma.f32 (pow.f32 s #s(literal 6 binary32)) (/.f32 #s(literal 72 binary32) x) (/.f32 (*.f32 #s(literal -3 binary32) (*.f32 s (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal -18 binary32)))) x)))) (neg.f32 x))) x))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (fma.f32 s (fma.f32 (/.f32 s (pow.f32 x #s(literal 6 binary32))) #s(literal -18 binary32) (/.f32 #s(literal -18 binary32) (pow.f32 x #s(literal 5 binary32)))) (/.f32 #s(literal -18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal 0 binary32) (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 (*.f32 x x) s)) (fma.f32 x #s(literal 0 binary32) #s(literal 0 binary32))) (neg.f32 s))) s))

eval165.0ms (1.6%)

Memory
21.1MiB live, 251.0MiB allocated
Compiler

Compiled 25 028 to 2 977 computations (88.1% saved)

prune277.0ms (2.6%)

Memory
2.9MiB live, 290.4MiB allocated
Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New1 003181 021
Fresh134
Picked235
Done011
Total1 006251 031
Accuracy
100.0%
Counts
1 031 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.3%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
29.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
32.8%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
33.1%
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
64.4%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
21.2%
(/.f32 s (neg.f32 x))
53.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
43.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
54.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
57.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
33.0%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
33.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
22.3%
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
43.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
56.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
56.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) x) s)))
50.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
56.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s))) s) x) s)))
54.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
33.0%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
29.4%
(*.f32 (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (*.f32 s #s(literal -1/2 binary32))) x) (expm1.f32 (/.f32 (neg.f32 x) s)))
24.3%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
31.0%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 775 to 496 computations (36% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize412.0ms (3.9%)

Memory
-19.2MiB live, 257.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy99.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
accuracy97.9%
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
accuracy90.6%
(/.f32 x (*.f32 s s))
accuracy99.8%
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
accuracy99.7%
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
accuracy99.3%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
accuracy95.8%
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
accuracy99.9%
(*.f32 x (*.f32 x x))
accuracy99.8%
(*.f32 s (*.f32 s s))
accuracy99.6%
(*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32))
accuracy79.3%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
accuracy100.0%
(/.f32 s (neg.f32 x))
accuracy100.0%
(neg.f32 x)
accuracy100.0%
(neg.f32 s)
accuracy99.9%
(expm1.f32 (/.f32 x (neg.f32 s)))
accuracy99.9%
(expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
accuracy96.5%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
Samples
187.0ms174×0valid
68.0ms82×0exit
Compiler

Compiled 239 to 41 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-mult: 114.0ms (59.2% of total)
ival-div: 63.0ms (32.7% of total)
ival-add: 5.0ms (2.6% of total)
const: 4.0ms (2.1% of total)
ival-expm1: 3.0ms (1.6% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
15.2MiB live, 53.9MiB allocated
Counts
18 → 372
Calls
Call 1
Inputs
#<alt (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))>
#<alt (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))>
#<alt (expm1.f32 (/.f32 x (neg.f32 s)))>
#<alt (neg.f32 s)>
#<alt (neg.f32 x)>
#<alt (/.f32 s (neg.f32 x))>
#<alt (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))>
#<alt (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32))>
#<alt (*.f32 s (*.f32 s s))>
#<alt (*.f32 x (*.f32 x x))>
#<alt (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))>
#<alt (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))>
#<alt (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)>
#<alt (/.f32 x (*.f32 s s))>
#<alt (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))>
#<alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt 1/2>
#<alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<alt (* -2 (/ x s))>
#<alt (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))>
#<alt (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))>
#<alt (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (* -2 (/ x s))>
#<alt (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)>
#<alt (* -2 (/ x s))>
#<alt (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (* -6 (pow s 3))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (* 1/2 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ x s))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* 1/2 (/ x s))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (/ -1 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (* -1/6 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ x s))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
Calls

93 calls:

TimeVariablePointExpression
21.0ms
x
@0
(/ x (* s s))
6.0ms
x
@-inf
(/ (+ (* (/ x s) 1/2) -1) s)
1.0ms
s
@0
(/ (* (* s (* s s)) -6) (* x (* x x)))
1.0ms
x
@0
(/ (* (* s (* s s)) -6) (* x (* x x)))
1.0ms
x
@inf
(/ x (* s s))

rewrite432.0ms (4.1%)

Memory
15.3MiB live, 365.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 902×lower-/.f64
4 882×lower-/.f32
4 536×lower-*.f64
4 524×lower-*.f32
3 190×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034148
066138
1273138
22151135
08817135
Stop Event
iter limit
node limit
iter limit
Counts
18 → 494
Calls
Call 1
Inputs
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
(expm1.f32 (/.f32 x (neg.f32 s)))
(neg.f32 s)
(neg.f32 x)
(/.f32 s (neg.f32 x))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32))
(*.f32 s (*.f32 s s))
(*.f32 x (*.f32 x x))
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
(/.f32 x (*.f32 s s))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
Outputs
(neg.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (neg.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(neg.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(+.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -6 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -4 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -4 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(-.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (neg.f32 (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal 1 binary32))) (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal 2 binary32)))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (neg.f32 (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal -3 binary32))) (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) #s(literal 2 binary32)) (+.f32 (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal -2 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) #s(literal 2 binary32)) (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal -2 binary32))) (+.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(/.f32 (*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))) (+.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (-.f32 (neg.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)) (neg.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
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(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))
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(fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
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(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
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(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
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(*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))

simplify461.0ms (4.4%)

Memory
5.5MiB live, 407.9MiB allocated
Algorithm
egg-herbie
Rules
9 970×lower-fma.f64
9 970×lower-fma.f32
5 324×lower-*.f64
5 324×lower-*.f32
2 638×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06183834
118283635
258493490
083423226
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
1/2
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
1/2
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(* -2 (/ x s))
(* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(* -2 (/ x s))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(* -2 (/ x s))
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* -6 (pow s 3))
(* -6 (pow s 3))
(* -6 (pow s 3))
(* -6 (pow s 3))
(* -6 (pow s 3))
(* -6 (pow s 3))
(* -6 (pow s 3))
(* -6 (pow s 3))
(* -6 (pow s 3))
(* -6 (pow s 3))
(* -6 (pow s 3))
(* -6 (pow s 3))
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ x (pow s 2)))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 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) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/480 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
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(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (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 x (*.f32 x x)) (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(neg.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))))) (*.f32 x (*.f32 x (neg.f32 x))))
(* -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 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) x)) (*.f32 x (*.f32 x (neg.f32 x))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (fma.f32 x (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 (/.f32 x (pow.f32 s #s(literal 4 binary32))) #s(literal 1/96 binary32) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal -18 binary32))) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -18 binary32) x) (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32))) x)) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(/.f32 (-.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (fma.f32 #s(literal 3 binary32) (*.f32 (*.f32 s (pow.f32 s #s(literal 5 binary32))) #s(literal 18 binary32)) (fma.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal 72 binary32) (*.f32 #s(literal -108 binary32) (pow.f32 s #s(literal 6 binary32))))) (*.f32 x (*.f32 x (neg.f32 x))))) (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal 54 binary32) (*.f32 x x)) (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -36 binary32) (*.f32 x x)) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal 18 binary32)) x)))) (*.f32 x (*.f32 x x)))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(neg.f32 (/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal 18 binary32)) x)) (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -18 binary32) x) (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32))) (neg.f32 x))) (*.f32 x (*.f32 x (neg.f32 x))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -108 binary32) (/.f32 (pow.f32 s #s(literal 6 binary32)) x) (fma.f32 (pow.f32 s #s(literal 6 binary32)) (/.f32 #s(literal 72 binary32) x) (fma.f32 (*.f32 #s(literal -3 binary32) s) (*.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -18 binary32) x)) (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32))))) x) (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal 18 binary32))) x)) (*.f32 x (*.f32 x (neg.f32 x))))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (fma.f32 s (fma.f32 (/.f32 s (pow.f32 x #s(literal 6 binary32))) #s(literal -18 binary32) (/.f32 #s(literal -18 binary32) (pow.f32 x #s(literal 5 binary32)))) (/.f32 #s(literal -18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32)) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x #s(literal -1/4 binary32)) (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x x)) x) s) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1/6 (/ x s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* -1/6 (/ x s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
(* -1/6 (/ x s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))

eval148.0ms (1.4%)

Memory
-11.3MiB live, 141.3MiB allocated
Compiler

Compiled 18 543 to 2 068 computations (88.8% saved)

prune254.0ms (2.4%)

Memory
26.2MiB live, 224.5MiB allocated
Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New85016866
Fresh61016
Picked145
Done134
Total85833891
Accuracy
100.0%
Counts
891 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.3%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
29.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
34.2%
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) x) (*.f32 x x))
32.8%
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
33.1%
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
64.4%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
21.2%
(/.f32 s (neg.f32 x))
53.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
59.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
28.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (*.f32 s (neg.f32 s))) (*.f32 (*.f32 s (neg.f32 s)) x)) (*.f32 (*.f32 s (neg.f32 s)) (*.f32 s (neg.f32 s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
54.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
54.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
59.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
57.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
52.7%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
51.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
43.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
33.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
33.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
33.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
43.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
56.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) x) s)))
50.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
32.7%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
22.3%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
29.4%
(*.f32 (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (*.f32 s #s(literal -1/2 binary32))) x) (expm1.f32 (/.f32 (neg.f32 x) s)))
24.3%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
21.2%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
31.0%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
31.9%
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
32.8%
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 1 034 to 644 computations (37.7% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize126.0ms (1.2%)

Memory
-36.4MiB live, 247.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy97.7%
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
accuracy96.7%
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
accuracy84.1%
(fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
accuracy77.2%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
accuracy100.0%
(/.f32 x s)
accuracy99.7%
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
accuracy99.6%
(fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32))
accuracy98.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
accuracy99.8%
(*.f32 x (*.f32 x x))
accuracy99.8%
(*.f32 s (*.f32 s s))
accuracy99.6%
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
accuracy77.0%
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x)))
accuracy100.0%
(/.f32 #s(literal -1 binary32) x)
accuracy99.4%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
accuracy99.6%
(/.f32 (/.f32 x s) s)
accuracy99.0%
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy98.7%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
accuracy96.5%
(fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
Samples
65.0ms256×0valid
Compiler

Compiled 266 to 39 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 20.0ms (42.5% of total)
ival-div: 16.0ms (34% of total)
ival-add: 5.0ms (10.6% of total)
const: 5.0ms (10.6% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
18 → 384
Calls
Call 1
Inputs
#<alt (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))>
#<alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))>
#<alt (/.f32 (/.f32 x s) s)>
#<alt (*.f32 (/.f32 #s(literal -1 binary32) x) s)>
#<alt (/.f32 #s(literal -1 binary32) x)>
#<alt (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x)))>
#<alt (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))>
#<alt (*.f32 s (*.f32 s s))>
#<alt (*.f32 x (*.f32 x x))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))>
#<alt (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 x s))>
#<alt (/.f32 x s)>
#<alt (*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))>
#<alt (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))>
#<alt (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))>
#<alt (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))>
Outputs
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (* -1/6 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ x s))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (/ (pow s 3) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ (* -1/128 (/ (pow x 2) (pow s 6))) (* 1/32 (/ 1 (pow s 4))))) (* 1/8 (/ 1 (pow s 2))))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* -8 (/ (pow s 4) (pow x 2))) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (- (+ (* 2 (pow s 2)) (* 32 (/ (pow s 6) (pow x 4)))) (* 8 (/ (pow s 4) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -128 (/ (pow s 8) (pow x 6))) (* 2 (pow s 2))) (+ (* -32 (/ (pow s 6) (pow x 4))) (* 8 (/ (pow s 4) (pow x 2))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* -8 (/ (pow s 4) (pow x 2))) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (- (+ (* 2 (pow s 2)) (* 32 (/ (pow s 6) (pow x 4)))) (* 8 (/ (pow s 4) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -128 (/ (pow s 8) (pow x 6))) (* 2 (pow s 2))) (+ (* -32 (/ (pow s 6) (pow x 4))) (* 8 (/ (pow s 4) (pow x 2))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* -8 (/ (pow s 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* 32 (/ (pow s 2) (pow x 6))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -128 (/ (pow s 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/2 (* 1/32 (/ (pow x 4) (pow s 4)))) (* 1/8 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/2 (* -1/128 (/ (pow x 6) (pow s 6)))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/2 (* 1/32 (/ (pow x 4) (pow s 4)))) (* 1/8 (/ (pow x 2) (pow s 2))))>
#<alt (- (+ 1/2 (* -1/128 (/ (pow x 6) (pow s 6)))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt 2>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) (pow x 4))>
#<alt (/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) (pow x 4))>
#<alt (/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) (pow x 4))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (/ -6 (pow x 3))>
#<alt (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))>
#<alt (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))>
#<alt (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))>
#<alt (* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))>
#<alt (* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (/ (+ (* -18 s) (* -6 x)) (pow x 4))>
#<alt (/ (+ (* -18 s) (* -6 x)) (pow x 4))>
#<alt (/ (+ (* -18 s) (* -6 x)) (pow x 4))>
#<alt (/ -6 (pow x 3))>
#<alt (/ (- (* -18 (/ s x)) 6) (pow x 3))>
#<alt (/ (- (* -18 (/ s x)) 6) (pow x 3))>
#<alt (/ (- (* -18 (/ s x)) 6) (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))>
#<alt (* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))>
#<alt (* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
Calls

96 calls:

TimeVariablePointExpression
2.0ms
s
@inf
(* (* s (* s s)) (+ (* (/ s (* (* x (* x x)) x)) -18) (/ -6 (* x (* x x)))))
1.0ms
s
@0
(* (* s (* s s)) (+ (* (/ s (* (* x (* x x)) x)) -18) (/ -6 (* x (* x x)))))
1.0ms
x
@0
(* (* s (* s s)) (+ (* (/ s (* (* x (* x x)) x)) -18) (/ -6 (* x (* x x)))))
0.0ms
x
@inf
(/ 1 (+ (* (/ x s) (* 1/2 (/ x s))) 2))
0.0ms
s
@-inf
(* (* s (* s s)) (+ (* (/ s (* (* x (* x x)) x)) -18) (/ -6 (* x (* x x)))))

rewrite326.0ms (3.1%)

Memory
1.1MiB live, 712.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 700×lower-/.f64
5 682×lower-/.f32
4 174×lower-fma.f64
4 164×lower-fma.f32
3 970×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032179
060153
1246146
22105140
08716138
Stop Event
iter limit
node limit
iter limit
Counts
18 → 748
Calls
Call 1
Inputs
(fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 (/.f32 x s) s)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 #s(literal -1 binary32) x)
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 s (*.f32 s s))
(*.f32 x (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(/.f32 x s)
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
Outputs
(exp.f32 (neg.f32 (*.f32 (log.f32 (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))) #s(literal -1 binary32))))
(+.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))))
(+.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) #s(literal 2 binary32))
(+.f32 (*.f32 (/.f32 x (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x)) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))
(+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x))) (/.f32 x (neg.f32 s)))
(pow.f32 (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))) #s(literal -1 binary32))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(fma.f32 x (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (*.f32 s s)) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 (/.f32 x (*.f32 s s)) x) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (*.f32 s s)) x (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))
(fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))
(fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (/.f32 x (*.f32 s s)) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)) #s(literal -1 binary32)))
(-.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal -2 binary32))) (/.f32 #s(literal 4 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal -2 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 4 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)))) (*.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal -2 binary32)))) (/.f32 #s(literal 4 binary32) (*.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal -2 binary32)))))
(-.f32 (/.f32 #s(literal 4 binary32) (-.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))))) (/.f32 (*.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)))) (-.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)))) (*.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (*.f32 x #s(literal 2 binary32))))) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) #s(literal 4 binary32)) (*.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (*.f32 x #s(literal 2 binary32))))) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal -2 binary32))) (fma.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)))) (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))) (*.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)))))))
(/.f32 (neg.f32 (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))) #s(literal -1 binary32))
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(*.f32 (/.f32 (-.f32 (*.f32 (*.f32 s #s(literal -18 binary32)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 #s(literal -6 binary32) x) (/.f32 #s(literal -6 binary32) x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) x) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))))
(neg.f32 (/.f32 s (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))))
(neg.f32 (/.f32 (neg.f32 s) (*.f32 x (*.f32 x (*.f32 x x)))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s))) #s(literal -1 binary32)))
(pow.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 s (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))))
(/.f32 s (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x x)) (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 s #s(literal 1 binary32))))
(/.f32 (neg.f32 s) (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))))
(/.f32 (/.f32 s x) (*.f32 x (*.f32 x x)))
(/.f32 (/.f32 s (*.f32 x (*.f32 x x))) x)
(/.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))
(/.f32 (neg.f32 (neg.f32 s)) (neg.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))))
(/.f32 (neg.f32 (/.f32 s x)) (neg.f32 (*.f32 x (*.f32 x x))))
(/.f32 (neg.f32 (/.f32 s (*.f32 x (*.f32 x x)))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (neg.f32 s))) (neg.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))))))
(/.f32 (neg.f32 (*.f32 s #s(literal 1 binary32))) (neg.f32 (*.f32 x (*.f32 x (*.f32 x x)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 s (*.f32 x (*.f32 x x))))) (neg.f32 (neg.f32 x)))
(*.f32 s (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 s (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 s (neg.f32 x)) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x (*.f32 x (*.f32 x x))))))
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(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 s x))
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(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (pow.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(*.f32 (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 s (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) x) x))
(*.f32 (/.f32 s (neg.f32 (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 s (pow.f32 x #s(literal 3/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 x #s(literal 3/2 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))) (/.f32 s (neg.f32 x)))
(neg.f32 (/.f32 #s(literal 6 binary32) (*.f32 x (*.f32 x x))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
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(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal -6 binary32) (neg.f32 (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 6 binary32) (neg.f32 (*.f32 x (*.f32 x x))))
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(/.f32 (/.f32 #s(literal -6 binary32) x) (*.f32 x x))
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(/.f32 (/.f32 #s(literal -6 binary32) (*.f32 x x)) x)
(/.f32 (/.f32 (/.f32 #s(literal -6 binary32) x) x) x)
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal -6 binary32) x))) (neg.f32 (neg.f32 (*.f32 x x))))
(/.f32 (neg.f32 (/.f32 #s(literal -6 binary32) (*.f32 x x))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal -6 binary32) x) x)) (neg.f32 x))
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(*.f32 #s(literal -6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))
(*.f32 #s(literal 6 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) #s(literal -6 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (*.f32 x x) #s(literal -6 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -6 binary32) x) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 #s(literal -6 binary32) x) (/.f32 (/.f32 #s(literal 1 binary32) x) x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal -6 binary32) x))

simplify374.0ms (3.6%)

Memory
16.7MiB live, 766.0MiB allocated
Algorithm
egg-herbie
Rules
12 230×lower-fma.f64
12 230×lower-fma.f32
4 656×lower-*.f64
4 656×lower-*.f32
4 250×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04243457
112033399
237383213
082083081
Stop Event
iter limit
node limit
Counts
384 → 384
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))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 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) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
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(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
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(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
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(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
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(/ -1 x)
(/ (pow s 3) (pow x 3))
(/ (pow s 3) (pow x 3))
(/ (pow s 3) (pow x 3))
(/ (pow s 3) (pow x 3))
(/ (pow s 3) (pow x 3))
(/ (pow s 3) (pow x 3))
(/ (pow s 3) (pow x 3))
(/ (pow s 3) (pow x 3))
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(/ (pow s 3) (pow x 3))
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(/ (pow s 3) (pow x 3))
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(/ (pow s 3) (pow x 3))
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1/2
(+ 1/2 (* -1/8 (/ (pow x 2) (pow s 2))))
(+ 1/2 (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))))
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(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* -8 (/ (pow s 4) (pow x 2))) (* 2 (pow s 2))) (pow x 2))
(/ (- (+ (* 2 (pow s 2)) (* 32 (/ (pow s 6) (pow x 4)))) (* 8 (/ (pow s 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -128 (/ (pow s 8) (pow x 6))) (* 2 (pow s 2))) (+ (* -32 (/ (pow s 6) (pow x 4))) (* 8 (/ (pow s 4) (pow x 2))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* -8 (/ (pow s 4) (pow x 2))) (* 2 (pow s 2))) (pow x 2))
(/ (- (+ (* 2 (pow s 2)) (* 32 (/ (pow s 6) (pow x 4)))) (* 8 (/ (pow s 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -128 (/ (pow s 8) (pow x 6))) (* 2 (pow s 2))) (+ (* -32 (/ (pow s 6) (pow x 4))) (* 8 (/ (pow s 4) (pow x 2))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* -8 (/ (pow s 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* (pow s 2) (- (* 32 (/ (pow s 2) (pow x 6))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -128 (/ (pow s 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* -1/8 (/ (pow x 2) (pow s 2))))
(- (+ 1/2 (* 1/32 (/ (pow x 4) (pow s 4)))) (* 1/8 (/ (pow x 2) (pow s 2))))
(- (+ 1/2 (* -1/128 (/ (pow x 6) (pow s 6)))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))
1/2
(+ 1/2 (* -1/8 (/ (pow x 2) (pow s 2))))
(- (+ 1/2 (* 1/32 (/ (pow x 4) (pow s 4)))) (* 1/8 (/ (pow x 2) (pow s 2))))
(- (+ 1/2 (* -1/128 (/ (pow x 6) (pow s 6)))) (+ (* -1/32 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
2
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
2
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* -18 (/ (pow s 4) (pow x 4)))
(* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(* -18 (/ (pow s 4) (pow x 4)))
(* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(* -18 (/ (pow s 4) (pow x 4)))
(/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) (pow x 4))
(/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) (pow x 4))
(/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) (pow x 4))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(/ -6 (pow x 3))
(- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))
(- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))
(- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))
(* -18 (/ s (pow x 4)))
(* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))
(* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))
(* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))
(* -18 (/ s (pow x 4)))
(* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(* -18 (/ s (pow x 4)))
(/ (+ (* -18 s) (* -6 x)) (pow x 4))
(/ (+ (* -18 s) (* -6 x)) (pow x 4))
(/ (+ (* -18 s) (* -6 x)) (pow x 4))
(/ -6 (pow x 3))
(/ (- (* -18 (/ s x)) 6) (pow x 3))
(/ (- (* -18 (/ s x)) 6) (pow x 3))
(/ (- (* -18 (/ s x)) 6) (pow x 3))
(/ -6 (pow x 3))
(* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))
(* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))
(* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
Outputs
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))))))
(* (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 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x x))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s)))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -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 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 s #s(literal 1/2 binary32) (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 x (*.f32 s (neg.f32 s)) (*.f32 (*.f32 x x) (fma.f32 s #s(literal 1/2 binary32) (*.f32 x #s(literal -1/6 binary32))))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/.f32 (fma.f32 s (*.f32 s (fma.f32 #s(literal 2 binary32) s (neg.f32 x))) (*.f32 (*.f32 x x) (fma.f32 s #s(literal 1/2 binary32) (*.f32 x #s(literal -1/6 binary32))))) (*.f32 s (*.f32 s s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 x (*.f32 (*.f32 s s) (*.f32 s s))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 #s(literal -18 binary32) (fma.f32 (*.f32 s s) (*.f32 s s) (/.f32 (pow.f32 s #s(literal 5 binary32)) x))) x)) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (-.f32 (/.f32 (fma.f32 #s(literal 3 binary32) (*.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal 18 binary32)) (*.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal -36 binary32))) (neg.f32 (*.f32 x (*.f32 x x)))) (fma.f32 (/.f32 (pow.f32 s #s(literal 5 binary32)) (*.f32 x x)) #s(literal 18 binary32) (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal 18 binary32) x))))) (*.f32 x (*.f32 x x)))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal 18 binary32) x))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(neg.f32 (/.f32 (fma.f32 #s(literal 18 binary32) (/.f32 (+.f32 (/.f32 (pow.f32 s #s(literal 5 binary32)) x) (*.f32 (*.f32 s s) (*.f32 s s))) x) (*.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)))) (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32) (fma.f32 (/.f32 (pow.f32 s #s(literal 6 binary32)) x) #s(literal -36 binary32) (/.f32 (*.f32 #s(literal -3 binary32) (*.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal -18 binary32))) x))) x) (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal 18 binary32))) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (*.f32 s (fma.f32 s (/.f32 #s(literal -18 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -18 binary32) (pow.f32 x #s(literal 5 binary32))))) (/.f32 (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(-.f32 (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s) s) (*.f32 x #s(literal 1/4 binary32))) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1/6 (/ x s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
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eval185.0ms (1.8%)

Memory
18.6MiB live, 292.0MiB allocated
Compiler

Compiled 31 744 to 2 700 computations (91.5% saved)

prune145.0ms (1.4%)

Memory
-2.5MiB live, 441.2MiB allocated
Pruning

27 alts after pruning (17 fresh and 10 done)

PrunedKeptTotal
New1 31591 324
Fresh13821
Picked145
Done167
Total1 330271 357
Accuracy
100.0%
Counts
1 357 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.3%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
29.5%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
22.3%
(/.f32 (fma.f32 x (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) #s(literal -2 binary32)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) #s(literal -4 binary32)))
34.2%
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) x) (*.f32 x x))
32.6%
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
32.8%
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
33.1%
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
64.4%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
21.2%
(/.f32 s (neg.f32 x))
53.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
59.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
58.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
59.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
57.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
43.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
43.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
36.3%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
22.3%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
33.0%
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
29.4%
(*.f32 (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (*.f32 s #s(literal -1/2 binary32))) x) (expm1.f32 (/.f32 (neg.f32 x) s)))
21.2%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
31.7%
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
32.6%
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
31.9%
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
32.8%
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 1 206 to 476 computations (60.5% saved)

regimes135.0ms (1.3%)

Memory
-21.6MiB live, 257.9MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 (fma.f32 x (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) #s(literal -2 binary32)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) #s(literal -4 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (*.f32 s (neg.f32 s))) (*.f32 (*.f32 s (neg.f32 s)) x)) (*.f32 (*.f32 s (neg.f32 s)) (*.f32 s (neg.f32 s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (*.f32 s #s(literal -1/2 binary32))) x) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

46.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
16.0ms
s
15.0ms
(neg.f32 x)
15.0ms
x
14.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes163.0ms (1.5%)

Memory
-17.9MiB live, 207.7MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 (fma.f32 x (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) #s(literal -2 binary32)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) #s(literal -4 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (*.f32 s (neg.f32 s))) (*.f32 (*.f32 s (neg.f32 s)) x)) (*.f32 (*.f32 s (neg.f32 s)) (*.f32 s (neg.f32 s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

7 calls:

46.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
36.0ms
(/.f32 (neg.f32 x) s)
22.0ms
x
21.0ms
s
14.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
67.3%2x
59.6%1s
68.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
68.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
68.1%2(exp.f32 (/.f32 (neg.f32 x) s))
68.1%2(/.f32 (neg.f32 x) s)
67.3%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes78.0ms (0.7%)

Memory
2.8MiB live, 84.1MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

4 calls:

36.0ms
(/.f32 (neg.f32 x) s)
21.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
10.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
9.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
68.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
68.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
68.1%2(exp.f32 (/.f32 (neg.f32 x) s))
68.1%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes104.0ms (1%)

Memory
5.5MiB live, 161.7MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

6 calls:

23.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
21.0ms
(/.f32 (neg.f32 x) s)
19.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
18.0ms
x
12.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
66.3%2x
66.3%2(neg.f32 x)
67.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
67.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
67.0%2(exp.f32 (/.f32 (neg.f32 x) s))
67.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes140.0ms (1.3%)

Memory
6.2MiB live, 125.2MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

6 calls:

38.0ms
(/.f32 (neg.f32 x) s)
38.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
34.0ms
(neg.f32 x)
11.0ms
x
9.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
65.8%2x
65.8%2(neg.f32 x)
66.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
66.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
66.0%2(exp.f32 (/.f32 (neg.f32 x) s))
66.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes66.0ms (0.6%)

Memory
4.2MiB live, 82.7MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))) x) s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

4 calls:

37.0ms
(/.f32 (neg.f32 x) s)
10.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
9.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
9.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
66.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
66.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
66.0%2(exp.f32 (/.f32 (neg.f32 x) s))
66.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes119.0ms (1.1%)

Memory
-20.3MiB live, 66.3MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) x) s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
Calls

6 calls:

72.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
10.0ms
(neg.f32 x)
10.0ms
x
9.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
65.0%2x
65.0%2(neg.f32 x)
65.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.7%2(exp.f32 (/.f32 (neg.f32 x) s))
65.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes84.0ms (0.8%)

Memory
-13.9MiB live, 59.9MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal -6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
Calls

6 calls:

28.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
28.0ms
x
7.0ms
(neg.f32 x)
7.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
63.7%2x
63.7%2(neg.f32 x)
64.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
64.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.2%2(exp.f32 (/.f32 (neg.f32 x) s))
64.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes32.0ms (0.3%)

Memory
7.3MiB live, 44.8MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x)))
Calls

6 calls:

9.0ms
x
5.0ms
(neg.f32 x)
5.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
62.5%2x
62.5%2(neg.f32 x)
62.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
62.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
62.9%2(exp.f32 (/.f32 (neg.f32 x) s))
63.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes5.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 #s(literal -6 binary32) s) (/.f32 (*.f32 s s) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
Outputs
#s(literal 1/2 binary32)
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))
Calls

1 calls:

5.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
63.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes46.0ms (0.4%)

Memory
-9.0MiB live, 33.3MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
Calls

7 calls:

22.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms
s
4.0ms
(neg.f32 x)
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
60.4%2x
60.4%2(neg.f32 x)
43.8%1s
61.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
61.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
61.6%2(exp.f32 (/.f32 (neg.f32 x) s))
61.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes19.0ms (0.2%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
Outputs
#s(literal 1/2 binary32)
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
Calls

6 calls:

3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
59.7%2x
59.7%2(neg.f32 x)
59.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
59.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
59.9%2(exp.f32 (/.f32 (neg.f32 x) s))
59.9%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes24.0ms (0.2%)

Memory
-10.2MiB live, 27.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Calls

6 calls:

9.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(neg.f32 x)
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
51.9%2x
51.9%2(neg.f32 x)
52.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
52.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
52.6%2(exp.f32 (/.f32 (neg.f32 x) s))
52.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes16.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
Calls

6 calls:

3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
50.6%2x
50.6%2(neg.f32 x)
50.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.7%2(exp.f32 (/.f32 (neg.f32 x) s))
50.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes37.0ms (0.4%)

Memory
-10.4MiB live, 25.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
Calls

6 calls:

26.0ms
(/.f32 (neg.f32 x) s)
2.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
49.5%2x
49.5%2(neg.f32 x)
49.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.6%2(exp.f32 (/.f32 (neg.f32 x) s))
49.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes6.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
Outputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
Calls

4 calls:

2.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
1.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
49.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.6%2(exp.f32 (/.f32 (neg.f32 x) s))
49.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes24.0ms (0.2%)

Memory
-19.5MiB live, 19.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
Outputs
#s(literal 1/2 binary32)
Calls

7 calls:

17.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
1.0ms
s
1.0ms
(neg.f32 x)
1.0ms
x
1.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
35.0%1s
35.0%1x
35.0%1(neg.f32 x)
35.0%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
35.0%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
35.0%1(exp.f32 (/.f32 (neg.f32 x) s))
35.0%1(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.470567226409912
-0.47221824526786804
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.470567226409912
-0.47221824526786804
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.470567226409912
-0.47221824526786804
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027533063665032387
0.03185645490884781
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027533063665032387
0.03185645490884781
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.470567226409912
-0.47221824526786804
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
12.007890701293945
128.43414306640625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
478308.78125
628726.625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
478308.78125
628726.625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
12579.705078125
56780.03125
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
478308.78125
628726.625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.470567226409912
-0.47221824526786804
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4395935535430908
2.271350145339966
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4395935535430908
2.271350145339966
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4395935535430908
2.271350145339966
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify29.0ms (0.3%)

Memory
-21.9MiB live, 23.2MiB allocated
Algorithm
egg-herbie
Rules
34×*-commutative_binary32
14×+-commutative_binary32
10×sub-neg_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093321
1118321
2128321
3135321
4139321
5140321
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 16106127/536870912 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 16106127/536870912 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 16106127/536870912 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 16106127/536870912 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 16106127/536870912 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 16106127/536870912 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal -6 binary32)) s) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal -6 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 20000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 s (/.f32 #s(literal -1 binary32) x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 s) x))
#s(literal 1/2 binary32)

soundness2.1s (19.8%)

Memory
23.6MiB live, 1 326.2MiB allocated
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
12 230×lower-fma.f64
12 230×lower-fma.f32
9 970×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032179
060153
1246146
22105140
08716138
06183834
118283635
258493490
083423226
0140662
1378652
21147646
33893626
08438586
04243457
112033399
237383213
082083081
034148
066138
1273138
22151135
08817135
07354064
122273862
270253832
080393524
031142
060134
1260126
22268126
08444126
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 760 to 399 computations (47.5% saved)

preprocess69.0ms (0.7%)

Memory
-0.6MiB live, 188.7MiB allocated
Compiler

Compiled 668 to 202 computations (69.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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