Logistic function

Time bar (total: 11.3s)

analyze38.0ms (0.3%)

Memory
-14.4MiB live, 67.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample993.0ms (8.8%)

Memory
27.3MiB live, 1 376.4MiB allocated
Samples
651.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 446.0ms
ival-div: 115.0ms (25.8% of total)
const: 107.0ms (24% of total)
ival-exp: 67.0ms (15% of total)
ival-<=: 52.0ms (11.7% of total)
ival-add: 40.0ms (9% of total)
ival-neg: 39.0ms (8.7% of total)
ival-and: 11.0ms (2.5% of total)
exact: 11.0ms (2.5% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess41.0ms (0.4%)

Memory
-12.9MiB live, 24.7MiB allocated
Algorithm
1×egg-herbie
Rules
204×exp-prod
124×exp-sum
120×times-frac
92×associate-/r*
66×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041
15041
211341
327141
455441
572141
679341
784241
890141
990341
089
1169
2269
3399
4519
5659
6869
71079
81119
01119
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
Outputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))

explain157.0ms (1.4%)

Memory
-13.6MiB live, 158.5MiB 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(-3.539701897477959e-14 2.578475494049477e-16)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
88.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 48.0ms (64.2% of total)
ival-neg: 20.0ms (26.7% of total)
ival-exp: 4.0ms (5.3% of total)
ival-add: 2.0ms (2.7% 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (neg.f32 x) s)
✓cost-diff0
(exp.f32 (/.f32 (neg.f32 x) s))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Rules
32×+-lowering-+.f64
32×*-lowering-*.f32
32×*-lowering-*.f64
32×+-lowering-+.f32
26×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
11630
22630
33930
45130
56530
68630
710730
811130
011130
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
1
(+ 1 (exp (/ (neg x) s)))
(exp (/ (neg x) s))
(/ (neg x) s)
(neg x)
x
s
Outputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
1
#s(literal 1 binary32)
(+ 1 (exp (/ (neg x) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(exp (/ (neg x) s))
(exp.f32 (/.f32 x (neg.f32 s)))
(/ (neg x) s)
(/.f32 x (neg.f32 s))
(neg x)
(neg.f32 x)
x
s

localize49.0ms (0.4%)

Memory
-9.1MiB live, 30.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(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
41.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 30.0ms (87.5% of total)
ival-exp: 2.0ms (5.8% of total)
ival-add: 1.0ms (2.9% of total)
ival-neg: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (exp (/ (neg x) s))))>
#<alt (+ 1 (exp (/ (neg x) s)))>
#<alt (exp (/ (neg x) s))>
#<alt (/ (neg x) s)>
#<alt (neg x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

27 calls:

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

rewrite596.0ms (5.3%)

Memory
20.9MiB live, 411.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 358×/-lowering-/.f32
4 358×/-lowering-/.f64
3 830×accelerator-lowering-fma.f32
3 830×accelerator-lowering-fma.f64
3 688×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
14327
225027
3209827
0845626
Stop Event
1×iter limit
1×node limit
Counts
5 → 710
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(+ 1 (exp (/ (neg x) s)))
(exp (/ (neg x) s))
(/ (neg x) s)
(neg x)
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.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 (neg.f32 (/.f32 x s)))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.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 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.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 (neg.f32 (/.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 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.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 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.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 (neg.f32 (/.f32 x s))))))
(+.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.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 (neg.f32 (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (neg.f32 (/.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 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.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 (neg.f32 (/.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 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.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 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.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 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.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 (neg.f32 (/.f32 x s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.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 (neg.f32 (/.f32 x s)) #s(literal 4 binary32))))) (*.f32 (neg.f32 (exp.f32 (neg.f32 (/.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 (neg.f32 (/.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 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
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(-.f32 (/.f32 (*.f32 #s(literal 0 binary32) (/.f32 s x)) (*.f32 s (/.f32 s x))) (/.f32 s (*.f32 s (/.f32 s x))))
(-.f32 (/.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s s)) (/.f32 (*.f32 s x) (*.f32 s s)))
(-.f32 (/.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 s (neg.f32 s))) (/.f32 (*.f32 s (neg.f32 x)) (*.f32 s (neg.f32 s))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (*.f32 #s(literal 0 binary32) (/.f32 x s))))) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (*.f32 #s(literal 0 binary32) (/.f32 x s))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (/.f32 x s))) (/.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (+.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x)))
(/.f32 x (neg.f32 s))
(/.f32 (neg.f32 x) s)
(/.f32 #s(literal -1 binary32) (/.f32 s x))
(/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) x))
(/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))
(/.f32 (*.f32 x (*.f32 x x)) (*.f32 (neg.f32 s) (*.f32 x x)))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 s (*.f32 x x))))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 (*.f32 x x) s)))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) s))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 x x)))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 (*.f32 (neg.f32 s) (*.f32 x x))))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 (*.f32 (*.f32 x x) (neg.f32 s))))
(/.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 (/.f32 #s(literal -1 binary32) x)))
(/.f32 (neg.f32 (*.f32 x x)) (*.f32 s x))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s x)) s) (*.f32 s (/.f32 s x)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s x)) (*.f32 s s))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 s (neg.f32 s)))
(/.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x s))
(/.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (*.f32 x (neg.f32 s)))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x))) (*.f32 s x))
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x x))) (*.f32 (neg.f32 s) x))
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 (*.f32 s x)))
(/.f32 (/.f32 x #s(literal -1 binary32)) s)
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (*.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x s) (/.f32 x s))) (+.f32 #s(literal 0 binary32) (/.f32 x s)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (*.f32 x (*.f32 x x)))) (*.f32 x x))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (*.f32 x x))) x)
(/.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) s)) (*.f32 x x))
(/.f32 (*.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (*.f32 x s)))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s x)) s)) (neg.f32 (*.f32 s (/.f32 s x))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s x))) (neg.f32 (*.f32 s s)))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 s (neg.f32 x)))) (neg.f32 (*.f32 s (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32))) (neg.f32 (*.f32 x (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (neg.f32 (*.f32 s x)))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x x)))) (neg.f32 (*.f32 (neg.f32 s) x)))
(/.f32 (neg.f32 (/.f32 x #s(literal -1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (*.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x s) (/.f32 x s)))) (neg.f32 (+.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (*.f32 x (*.f32 x x))))) (neg.f32 (*.f32 x x)))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (*.f32 x x)))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (*.f32 x x)))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))) (neg.f32 x))
(/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal 0 binary32)) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (/.f32 x s)) #s(literal 0 binary32)))))
(/.f32 (+.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 x s))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 3 binary32)) (neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (neg.f32 (/.f32 x s))))))
(*.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(*.f32 x (/.f32 #s(literal -1 binary32) s))
(*.f32 x (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 x) (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))))
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))
(*.f32 (neg.f32 (/.f32 x s)) #s(literal 1 binary32))
(*.f32 (neg.f32 (/.f32 x s)) (log.f32 (E.f32)))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal -1 binary32)))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 (/.f32 x s) (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) s) x)
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (log.f32 (exp.f32 x)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 x #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (pow.f32 (/.f32 s (neg.f32 (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (pow.f32 (/.f32 s (neg.f32 (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) x) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (neg.f32 s)))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 x) x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) s))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) s) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) s) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x x)))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 (/.f32 #s(literal -1 binary32) s) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (neg.f32 x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 x)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) x)
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (*.f32 (neg.f32 x) x)))
(log.f32 (exp.f32 (neg.f32 (/.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) x) x)
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x 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)))

simplify872.0ms (7.7%)

Memory
5.7MiB live, 1 194.6MiB allocated
Algorithm
1×egg-herbie
Rules
40 054×accelerator-lowering-fma.f32
40 054×accelerator-lowering-fma.f64
4 544×*-lowering-*.f32
4 544×*-lowering-*.f64
2 942×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140758
1378748
21147742
33893722
08438682
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)

eval90.0ms (0.8%)

Memory
-28.1MiB live, 186.6MiB allocated
Compiler

Compiled 21 079 to 2 698 computations (87.2% saved)

prune100.0ms (0.9%)

Memory
-7.5MiB live, 272.2MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New8099818
Fresh000
Picked011
Done000
Total80910819
Accuracy
100.0%
Counts
819 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.3%
(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))
31.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
▶56.5%
(/.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)))
▶61.3%
(/.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)))
▶43.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
60.2%
(/.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)))
56.5%
(/.f32 #s(literal 1 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 1 binary32))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
▶36.5%
#s(literal 1/2 binary32)
Compiler

Compiled 265 to 180 computations (32.1% saved)

simplify279.0ms (2.5%)

Memory
21.0MiB live, 503.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 x (*.f32 s s))
✓cost-diff0
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
✓cost-diff160
(fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
✓cost-diff0
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓cost-diff0
(/.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)))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓cost-diff0
(exp.f32 (neg.f32 (/.f32 x s)))
✓cost-diff0
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
✓cost-diff0
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
✓cost-diff6016
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
Rules
11 652×accelerator-lowering-fma.f32
11 652×accelerator-lowering-fma.f64
3 014×*-lowering-*.f32
3 014×*-lowering-*.f64
1 312×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031194
183193
2234193
3503189
4867189
51546189
63321189
75331187
87330187
08104168
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(neg (log (+ 1 (exp (neg (/ x s))))))
(log (+ 1 (exp (neg (/ x s)))))
(exp (neg (/ x s)))
(neg (/ x s))
(/ x s)
x
s
1/2
(/ 1 (- 2 (/ x s)))
1
(- 2 (/ x s))
2
(/ x s)
x
s
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))
1
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
(/ x s)
x
s
(+ (* 1/2 (/ x s)) -1)
1/2
-1
2
(/ 1 (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2))
1
(+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2)
x
(+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))
(/ x (* s s))
(* s s)
s
(+ (* -1/6 (/ x s)) 1/2)
-1/6
(/ x s)
1/2
(/ -1 s)
-1
2
Outputs
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(neg (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(exp (neg (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(neg (/ x s))
(neg.f32 (/.f32 x s))
(/ x s)
(/.f32 x s)
x
s
1/2
#s(literal 1/2 binary32)
(/ 1 (- 2 (/ x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(- 2 (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
2
#s(literal 2 binary32)
(/ x s)
(/.f32 x s)
x
s
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
x
s
(+ (* 1/2 (/ x s)) -1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
1/2
#s(literal 1/2 binary32)
-1
#s(literal -1 binary32)
2
#s(literal 2 binary32)
(/ 1 (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2)
(fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) #s(literal 2 binary32))
x
(+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))
(/.f32 (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) s)
(/ x (* s s))
(/.f32 x (*.f32 s s))
(* s s)
(*.f32 s s)
s
(+ (* -1/6 (/ x s)) 1/2)
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
-1/6
#s(literal -1/6 binary32)
(/ x s)
(/.f32 x s)
1/2
#s(literal 1/2 binary32)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)
2
#s(literal 2 binary32)

localize96.0ms (0.9%)

Memory
-17.3MiB live, 218.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(/.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)))
✓accuracy99.1%
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
✓accuracy95.9%
(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))
✓accuracy91.5%
(/.f32 x (*.f32 s s))
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.8%
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓accuracy99.7%
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓accuracy99.4%
(/.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))
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy100.0%
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
✓accuracy100.0%
(exp.f32 (neg.f32 (/.f32 x s)))
✓accuracy99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
✓accuracy96.7%
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
Samples
34.0ms166×0valid
26.0ms90×1exit
Compiler

Compiled 176 to 32 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 10.0ms (22.4% of total)
ival-mult: 9.0ms (20.1% of total)
ival-add: 5.0ms (11.2% of total)
adjust: 4.0ms (8.9% of total)
ival-exp: 4.0ms (8.9% of total)
const: 4.0ms (8.9% of total)
ival-log1p: 3.0ms (6.7% of total)
ival-neg: 3.0ms (6.7% of total)
ival-sub: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series100.0ms (0.9%)

Memory
17.2MiB live, 212.3MiB allocated
Counts
15 → 360
Calls
Call 1
Inputs
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (neg (log (+ 1 (exp (neg (/ x s))))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (exp (neg (/ x s)))>
#<alt (/ 1 (- 2 (/ x s)))>
#<alt (- 2 (/ x s))>
#<alt (/ x s)>
#<alt (/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))>
#<alt (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)>
#<alt (+ (* 1/2 (/ x s)) -1)>
#<alt (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))>
#<alt (/ 1 (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2))>
#<alt (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2)>
#<alt (/ x (* s s))>
#<alt (+ (* -1/6 (/ x s)) 1/2)>
Outputs
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))>
#<alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))>
#<alt (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))>
#<alt (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))>
#<alt (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) 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 (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* 1/8 (/ 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))>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<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))>
#<alt (* -1 (/ s x))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<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>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (/ x s))>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (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 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>
#<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 (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt 1/2>
#<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 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 (/ 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 1/2>
#<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

90 calls:

TimeVariablePointExpression
34.0ms
x
@inf
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
23.0ms
x
@-inf
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
16.0ms
s
@0
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
3.0ms
x
@0
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
2.0ms
x
@-inf
(/ x (* s s))

rewrite301.0ms (2.7%)

Memory
18.0MiB live, 653.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 224×/-lowering-/.f32
5 224×/-lowering-/.f64
4 002×accelerator-lowering-fma.f32
4 002×accelerator-lowering-fma.f64
3 196×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031155
1206154
21948150
08496133
Stop Event
1×iter limit
1×node limit
Counts
15 → 525
Calls
Call 1
Inputs
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(neg (log (+ 1 (exp (neg (/ x s))))))
(log (+ 1 (exp (neg (/ x s)))))
(exp (neg (/ x s)))
(/ 1 (- 2 (/ x s)))
(- 2 (/ x s))
(/ x s)
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
(+ (* 1/2 (/ x s)) -1)
(+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))
(/ 1 (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2))
(+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2)
(/ x (* s s))
(+ (* -1/6 (/ x s)) 1/2)
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (*.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 x (neg.f32 s)))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 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 (neg.f32 s)) #s(literal 2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32)))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))))) (log1p.f32 (*.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))))) (/.f32 (pow.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))) (/.f32 (pow.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))) (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))))
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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)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))

simplify376.0ms (3.3%)

Memory
-8.4MiB live, 915.4MiB allocated
Algorithm
1×egg-herbie
Rules
13 038×accelerator-lowering-fma.f32
13 038×accelerator-lowering-fma.f64
5 220×*-lowering-*.f32
5 220×*-lowering-*.f64
3 094×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07154317
121383738
271413710
081553449
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
(exp (neg (/ 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)))
1/2
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(+ 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))
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(* 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
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(+ 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))
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(* 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))
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(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ 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)))
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)))
(/ 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))
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
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(fma.f32 x (fma.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.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 (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (fma.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32)) (fma.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x #s(literal 0 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/2 binary32)))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)))) s) s) (*.f32 x #s(literal -1/4 binary32))) s))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/192 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(fma.f32 x (/.f32 (*.f32 x #s(literal -1/8 binary32)) (*.f32 s s)) (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(fma.f32 x #s(literal 0 binary32) (-.f32 (/.f32 (fma.f32 x #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s))) (neg.f32 s)) (log.f32 #s(literal 2 binary32))))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(-.f32 (/.f32 (fma.f32 x #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s))) (neg.f32 s)) (log.f32 #s(literal 2 binary32)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(-.f32 (/.f32 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 (fma.f32 (*.f32 x #s(literal 0 binary32)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) s))))) (neg.f32 s)) (log.f32 #s(literal 2 binary32)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) s)) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 4 binary32))) #s(literal -1/192 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) s)) (log.f32 #s(literal 2 binary32)))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 x #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s))) s))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (*.f32 x #s(literal 0 binary32)) #s(literal 1/6 binary32) (/.f32 (fma.f32 x #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s))) s)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 1/2 binary32) x)) s))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/8 binary32)) (*.f32 x #s(literal 0 binary32))) (neg.f32 s))) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)) #s(literal 1 binary32))
(exp (neg (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (neg (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (neg (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (neg (/ 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 (neg (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (neg (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (neg (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (neg (/ 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 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 1 binary32))
(+ 1 (+ (* -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 1 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #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 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
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#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (*.f32 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 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (*.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 s (*.f32 x x))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (*.f32 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 s (*.f32 x x))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 x (*.f32 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 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (neg.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (neg.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s)))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s)) s)) (neg.f32 s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* 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 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 (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 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (-.f32 (/.f32 (fma.f32 #s(literal 3 binary32) (*.f32 s (*.f32 (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))))) (neg.f32 (*.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 (pow.f32 s #s(literal 4 binary32)) (/.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 (pow.f32 s #s(literal 4 binary32)) (/.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)))
(/.f32 (-.f32 (*.f32 (*.f32 s (*.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)) (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 (-.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal 6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32) (/.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 #s(literal -3 binary32) (/.f32 (*.f32 s (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal -18 binary32))) x) (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32))))) (neg.f32 x))) 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)) (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 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) (*.f32 x #s(literal 0 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 (fma.f32 x #s(literal -1/4 binary32) (neg.f32 (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 0 binary32))) s))) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 x) (*.f32 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 s (*.f32 x x))))))
(* (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 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.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 s (*.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 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -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))))) (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 (fma.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.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 s (fma.f32 x (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.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))
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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 #s(literal 2 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.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 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 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))

eval101.0ms (0.9%)

Memory
3.3MiB live, 274.2MiB allocated
Compiler

Compiled 24 293 to 2 746 computations (88.7% saved)

prune123.0ms (1.1%)

Memory
-16.6MiB live, 310.1MiB allocated
Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New1 046191 065
Fresh134
Picked235
Done011
Total1 049261 075
Accuracy
100.0%
Counts
1 075 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.3%
(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))
31.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
33.1%
(/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)) (fma.f32 (/.f32 (*.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)))
36.0%
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
33.4%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
▶17.1%
(/.f32 s (neg.f32 x))
61.5%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶54.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
▶64.9%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
61.3%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
▶60.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
56.3%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
59.6%
(/.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)))
54.9%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
53.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
▶53.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
36.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
19.0%
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
60.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
✓43.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
56.5%
(/.f32 #s(literal 1 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 1 binary32))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
29.4%
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (neg.f32 (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 0 binary32))) s))) s))
34.4%
(*.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)))))
✓99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
✓36.5%
#s(literal 1/2 binary32)
Compiler

Compiled 861 to 538 computations (37.5% saved)

simplify500.0ms (4.4%)

Memory
5.6MiB live, 566.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 x (*.f32 s s))
✓cost-diff0
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
✓cost-diff352
(fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s))
✓cost-diff0
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓cost-diff0
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
✓cost-diff0
(fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
✓cost-diff192
(fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32))
✓cost-diff0
(neg.f32 x)
✓cost-diff0
(/.f32 s (neg.f32 x))
✓cost-diff0
(/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s)
✓cost-diff0
(fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
✓cost-diff352
(fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s))
Rules
12 272×accelerator-lowering-fma.f32
12 272×accelerator-lowering-fma.f64
3 774×*-lowering-*.f32
3 774×*-lowering-*.f64
2 122×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039271
1102265
2272259
3507245
4648245
5895245
61951245
74217245
85106243
97405243
08403226
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ (* x (+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))) 2))
1
(+ (* x (+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))) 2)
x
(+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))
(/ (+ (* (/ x s) -1/6) 1/2) s)
(+ (* (/ x s) -1/6) 1/2)
(/ x s)
s
-1/6
1/2
(/ -1 s)
-1
2
(/ s (neg x))
s
(neg x)
x
(/ 1 (+ (* (/ x s) (* 1/2 (/ x s))) 2))
1
(+ (* (/ x s) (* 1/2 (/ x s))) 2)
(/ x s)
x
s
(* 1/2 (/ x s))
1/2
2
(/ 1 (+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2))
1
(+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2)
x
(/ (* (* x x) -1/6) (* s (* s s)))
(* (* x x) -1/6)
(* x x)
-1/6
(* s (* s s))
s
(* s s)
2
(/ 1 (+ (* x (+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))) 2))
1
(+ (* x (+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))) 2)
x
(+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))
(/ x (* s s))
(* s s)
s
(/ (* x -1/6) s)
(* x -1/6)
-1/6
(/ -1 s)
-1
2
Outputs
(/ 1 (+ (* x (+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))) 2))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* x (+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))) 2)
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))
x
(+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))
(/.f32 (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s)
(/ (+ (* (/ x s) -1/6) 1/2) s)
(/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s)
(+ (* (/ x s) -1/6) 1/2)
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(/ x s)
(/.f32 x s)
s
-1/6
#s(literal -1/6 binary32)
1/2
#s(literal 1/2 binary32)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)
2
#s(literal 2 binary32)
(/ s (neg x))
(/.f32 s (neg.f32 x))
s
(neg x)
(neg.f32 x)
x
(/ 1 (+ (* (/ x s) (* 1/2 (/ x s))) 2))
(/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) #s(literal -2 binary32)))
1
#s(literal 1 binary32)
(+ (* (/ x s) (* 1/2 (/ x s))) 2)
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
x
s
(* 1/2 (/ x s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
1/2
#s(literal 1/2 binary32)
2
#s(literal 2 binary32)
(/ 1 (+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2)
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
x
(/ (* (* x x) -1/6) (* s (* s s)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))
(* (* x x) -1/6)
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(* x x)
(*.f32 x x)
-1/6
#s(literal -1/6 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))
s
(* s s)
(*.f32 s s)
2
#s(literal 2 binary32)
(/ 1 (+ (* x (+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))) 2))
(/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) #s(literal 1 binary32)) #s(literal -2 binary32)))
1
#s(literal 1 binary32)
(+ (* x (+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))) 2)
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32)) #s(literal 2 binary32))
x
(+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))
(/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32)) s)
(/ x (* s s))
(/.f32 x (*.f32 s s))
(* s s)
(*.f32 s s)
s
(/ (* x -1/6) s)
(*.f32 (/.f32 x s) #s(literal -1/6 binary32))
(* x -1/6)
(*.f32 x #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)
2
#s(literal 2 binary32)

localize184.0ms (1.6%)

Memory
-10.3MiB live, 265.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
✓accuracy98.9%
(*.f32 x #s(literal -1/6 binary32))
✓accuracy93.9%
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
✓accuracy91.0%
(/.f32 x (*.f32 s s))
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
✓accuracy98.4%
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓accuracy93.9%
(fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
✓accuracy79.3%
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.6%
(fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32))
✓accuracy99.2%
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
✓accuracy98.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
✓accuracy100.0%
(/.f32 s (neg.f32 x))
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.8%
(/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s)
✓accuracy99.0%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
✓accuracy98.3%
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
✓accuracy93.9%
(fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
Samples
98.0ms254×0valid
11.0ms2×5exit
Compiler

Compiled 262 to 41 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-add: 36.0ms (39.4% of total)
ival-mult: 21.0ms (23% of total)
ival-div: 19.0ms (20.8% of total)
adjust: 9.0ms (9.8% of total)
const: 4.0ms (4.4% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series116.0ms (1%)

Memory
7.8MiB live, 166.3MiB allocated
Counts
20 → 444
Calls
Call 1
Inputs
#<alt (+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))>
#<alt (/ 1 (+ (* x (+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))) 2))>
#<alt (+ (* x (+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))) 2)>
#<alt (/ (+ (* (/ x s) -1/6) 1/2) s)>
#<alt (/ s (neg x))>
#<alt (neg x)>
#<alt (+ (* (/ x s) (* 1/2 (/ x s))) 2)>
#<alt (/ 1 (+ (* (/ x s) (* 1/2 (/ x s))) 2))>
#<alt (/ x s)>
#<alt (* 1/2 (/ x s))>
#<alt (/ 1 (+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2))>
#<alt (+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2)>
#<alt (/ (* (* x x) -1/6) (* s (* s s)))>
#<alt (* (* x x) -1/6)>
#<alt (+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))>
#<alt (/ 1 (+ (* x (+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))) 2))>
#<alt (+ (* x (+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))) 2)>
#<alt (/ x (* s s))>
#<alt (+ (* (/ x s) -1/6) 1/2)>
#<alt (* x -1/6)>
Outputs
#<alt (/ -1 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt 1/2>
#<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 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 s)>
#<alt (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))>
#<alt (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))>
#<alt (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))>
#<alt (* -1/6 (/ x (pow s 2)))>
#<alt (* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ x (pow s 2)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ x (pow s 2)))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))>
#<alt (/ 1/2 s)>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) s)>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) s)>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) s)>
#<alt (/ 1/2 s)>
#<alt (* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))>
#<alt (* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))>
#<alt (* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))>
#<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 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>
#<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 (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* (pow x 3) (+ (* 1/288 (/ (pow x 3) (pow s 6))) (* 1/24 (/ 1 (pow s 3))))))>
#<alt (+ 1/2 (* (pow x 3) (+ (* (pow x 3) (+ (* 1/3456 (/ (pow x 3) (pow s 9))) (* 1/288 (/ 1 (pow s 6))))) (* 1/24 (/ 1 (pow s 3))))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -864 (/ (pow s 9) (pow x 6))) (* -6 (pow s 3))) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3))>
#<alt (/ (- (+ (* -10368 (/ (pow s 12) (pow x 9))) (* -6 (pow s 3))) (+ (* 72 (/ (pow s 6) (pow x 3))) (* 864 (/ (pow s 9) (pow x 6))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -864 (/ (pow s 9) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 10368 (/ (pow s 12) (pow x 3))) (* -864 (pow s 9))) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -72 (/ (pow s 3) (pow x 6))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 3) (- (* -864 (/ (pow s 3) (pow x 9))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 3) (- (* (pow s 3) (- (* -10368 (/ (pow s 3) (pow x 12))) (* 864 (/ 1 (pow x 9))))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))>
#<alt (- (+ 1/2 (* 1/288 (/ (pow x 6) (pow s 6)))) (* -1/24 (/ (pow x 3) (pow s 3))))>
#<alt (- (+ 1/2 (* 1/3456 (/ (pow x 9) (pow s 9)))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* -1/288 (/ (pow x 6) (pow s 6)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/288 (/ (pow x 6) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/3456 (/ (pow x 9) (pow s 3))) (* -1/288 (pow x 6))) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))>
#<alt 2>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt 2>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (/ -1 s)>
#<alt (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))>
#<alt (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))>
#<alt (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1 (pow s 2)) (* -1/6 (pow x 2))) (pow s 3))>
#<alt (/ (+ (* -1 (pow s 2)) (* -1/6 (pow x 2))) (pow s 3))>
#<alt (/ (+ (* -1 (pow s 2)) (* -1/6 (pow x 2))) (pow s 3))>
#<alt (/ -1 s)>
#<alt (/ (- (* -1/6 (/ (pow x 2) (pow s 2))) 1) s)>
#<alt (/ (- (* -1/6 (/ (pow x 2) (pow s 2))) 1) s)>
#<alt (/ (- (* -1/6 (/ (pow x 2) (pow s 2))) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* 1/6 (/ (pow x 2) (pow s 2)))) s))>
#<alt (* -1 (/ (+ 1 (* 1/6 (/ (pow x 2) (pow s 2)))) s))>
#<alt (* -1 (/ (+ 1 (* 1/6 (/ (pow x 2) (pow s 2)))) 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 (+ (* 5/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -6 (pow s 3)) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (* -36 (/ (pow s 5) (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ (* -216 (/ (pow s 7) (pow x 4))) (* -6 (pow s 3))) (+ (* -36 (/ (pow s 5) (pow x 2))) (* 72 (/ (pow s 6) (pow x 3))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* -36 (/ (pow s 5) (pow x 2))) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* -216 (/ (pow s 7) x)) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* 36 (/ (pow s 2) (pow x 5))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 2) (+ (* -72 (/ s (pow x 6))) (* 36 (/ 1 (pow x 5))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 2) (+ (* s (- (* -216 (/ s (pow x 7))) (* 72 (/ 1 (pow x 6))))) (* 36 (/ 1 (pow x 5))))) (* 6 (/ 1 (pow x 3)))))>
#<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 (/ (+ (* -1/16 (pow x 3)) (* -1/24 (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 (/ (- (+ (* 1/24 (/ (pow x 3) s)) (* 1/16 (/ (pow x 3) s))) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (pow x 3)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (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 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (+ (* -1 x) (* 2 s)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (+ (* -1 x) (* 2 s)))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) 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 1/2>
#<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 (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
Calls

111 calls:

TimeVariablePointExpression
29.0ms
s
@-inf
(/ 1 (+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2))
22.0ms
s
@0
(/ 1 (+ (* (/ x s) (* 1/2 (/ x s))) 2))
2.0ms
s
@0
(/ 1 (+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2))
1.0ms
x
@inf
(/ 1 (+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2))
1.0ms
x
@0
(/ (* (* x x) -1/6) (* s (* s s)))

rewrite502.0ms (4.5%)

Memory
10.8MiB live, 772.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 958×/-lowering-/.f32
4 958×/-lowering-/.f64
4 478×accelerator-lowering-fma.f32
4 478×accelerator-lowering-fma.f64
3 932×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039214
1253214
22669204
09202187
Stop Event
1×iter limit
1×node limit
Counts
20 → 774
Calls
Call 1
Inputs
(+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))
(/ 1 (+ (* x (+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))) 2))
(+ (* x (+ (* (/ (+ (* (/ x s) -1/6) 1/2) s) (/ x s)) (/ -1 s))) 2)
(/ (+ (* (/ x s) -1/6) 1/2) s)
(/ s (neg x))
(neg x)
(+ (* (/ x s) (* 1/2 (/ x s))) 2)
(/ 1 (+ (* (/ x s) (* 1/2 (/ x s))) 2))
(/ x s)
(* 1/2 (/ x s))
(/ 1 (+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2))
(+ (* x (/ (* (* x x) -1/6) (* s (* s s)))) 2)
(/ (* (* x x) -1/6) (* s (* s s)))
(* (* x x) -1/6)
(+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))
(/ 1 (+ (* x (+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))) 2))
(+ (* x (+ (* (/ x (* s s)) (/ (* x -1/6) s)) (/ -1 s))) 2)
(/ x (* s s))
(+ (* (/ x s) -1/6) 1/2)
(* x -1/6)
Outputs
(+.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))
(+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s)))
(pow.f32 (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s (*.f32 s s)) s)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))) (*.f32 s s))) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) s))) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) #s(literal -1 binary32)) s) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s)) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (*.f32 s s))) #s(literal -1 binary32))
(fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s)) (/.f32 #s(literal -1 binary32) s))
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s))
(fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))
(fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s)))
(fma.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s)))
(fma.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) s))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s (*.f32 s s)) s)) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) #s(literal -1 binary32)) s)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) #s(literal -1 binary32)) s)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s)) (/.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s (*.f32 s s)) s)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s (*.f32 s s)) s)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))) (*.f32 s s))) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) s))) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) #s(literal -1 binary32)) s) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s)) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s (*.f32 s s)) s)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))) (*.f32 s s))) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) s))) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s) #s(literal -1 binary32)) s) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s)) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (*.f32 s s))))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) s))) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s)))) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s (*.f32 s s)) s)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))) (*.f32 s s))))
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(/.f32 (/.f32 x s) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s s) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 s s) x) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) x))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s s) x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 s s) x))))
(/.f32 (neg.f32 x) (*.f32 s (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 (*.f32 s (neg.f32 s)))))
(/.f32 (/.f32 x (neg.f32 s)) (neg.f32 s))
(/.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 s s))
(/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (*.f32 s (neg.f32 s)))
(*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 s (neg.f32 s))))
(*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s s)))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 s (neg.f32 s))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x s))
(+.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))
(pow.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/216 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))) #s(literal -1 binary32))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(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))
(fma.f32 #s(literal 1 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/2 binary32))
(fma.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (*.f32 x #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 x #s(literal 1/6 binary32))) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 #s(literal -1/6 binary32) s) x #s(literal 1/2 binary32))
(-.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))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))) (/.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) (-.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/216 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/216 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/216 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/216 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) (/.f32 s (*.f32 x #s(literal -1/6 binary32))))))
(/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/216 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/216 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) (/.f32 s (*.f32 x #s(literal -1/6 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))) (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/216 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))))
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/216 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(*.f32 x #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) x)

simplify744.0ms (6.6%)

Memory
10.3MiB live, 879.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 132×accelerator-lowering-fma.f32
9 132×accelerator-lowering-fma.f64
6 242×*-lowering-*.f32
6 242×*-lowering-*.f64
2 632×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06944898
120234803
263614697
083764464
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ 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)))
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 s)
(+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(* -1/6 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ x (pow s 2)))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ x (pow s 2)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))
(/ 1/2 s)
(/ (+ 1/2 (* -1/6 (/ x s))) s)
(/ (+ 1/2 (* -1/6 (/ x s))) s)
(/ (+ 1/2 (* -1/6 (/ x s))) s)
(/ 1/2 s)
(* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))
(* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))
(* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))
(* -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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
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
(+ 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))))))
(+ 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))))))
(* 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)))))
(/ 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 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(+ 1/2 (* (pow x 3) (+ (* 1/288 (/ (pow x 3) (pow s 6))) (* 1/24 (/ 1 (pow s 3))))))
(+ 1/2 (* (pow x 3) (+ (* (pow x 3) (+ (* 1/3456 (/ (pow x 3) (pow s 9))) (* 1/288 (/ 1 (pow s 6))))) (* 1/24 (/ 1 (pow s 3))))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -864 (/ (pow s 9) (pow x 6))) (* -6 (pow s 3))) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3))
(/ (- (+ (* -10368 (/ (pow s 12) (pow x 9))) (* -6 (pow s 3))) (+ (* 72 (/ (pow s 6) (pow x 3))) (* 864 (/ (pow s 9) (pow x 6))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -864 (/ (pow s 9) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 10368 (/ (pow s 12) (pow x 3))) (* -864 (pow s 9))) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -72 (/ (pow s 3) (pow x 6))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* (pow s 3) (- (* -864 (/ (pow s 3) (pow x 9))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* (pow s 3) (- (* (pow s 3) (- (* -10368 (/ (pow s 3) (pow x 12))) (* 864 (/ 1 (pow x 9))))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(- (+ 1/2 (* 1/288 (/ (pow x 6) (pow s 6)))) (* -1/24 (/ (pow x 3) (pow s 3))))
(- (+ 1/2 (* 1/3456 (/ (pow x 9) (pow s 9)))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* -1/288 (/ (pow x 6) (pow s 6)))))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(+ 1/2 (* -1 (/ (- (* -1/288 (/ (pow x 6) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/3456 (/ (pow x 9) (pow s 3))) (* -1/288 (pow x 6))) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(/ -1 s)
(- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))
(- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))
(- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1 (* (pow x 2) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1 (pow s 2)) (* -1/6 (pow x 2))) (pow s 3))
(/ (+ (* -1 (pow s 2)) (* -1/6 (pow x 2))) (pow s 3))
(/ (+ (* -1 (pow s 2)) (* -1/6 (pow x 2))) (pow s 3))
(/ -1 s)
(/ (- (* -1/6 (/ (pow x 2) (pow s 2))) 1) s)
(/ (- (* -1/6 (/ (pow x 2) (pow s 2))) 1) s)
(/ (- (* -1/6 (/ (pow x 2) (pow s 2))) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* 1/6 (/ (pow x 2) (pow s 2)))) s))
(* -1 (/ (+ 1 (* 1/6 (/ (pow x 2) (pow s 2)))) s))
(* -1 (/ (+ 1 (* 1/6 (/ (pow x 2) (pow s 2)))) 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 (+ (* 5/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -6 (pow s 3)) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3))
(/ (- (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (* -36 (/ (pow s 5) (pow x 2)))) (pow x 3))
(/ (- (+ (* -216 (/ (pow s 7) (pow x 4))) (* -6 (pow s 3))) (+ (* -36 (/ (pow s 5) (pow x 2))) (* 72 (/ (pow s 6) (pow x 3))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* -36 (/ (pow s 5) (pow x 2))) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (- (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3)))
(* -1 (/ (- (+ (* -1 (/ (- (* -216 (/ (pow s 7) x)) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* 36 (/ (pow s 2) (pow x 5))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* (pow s 2) (+ (* -72 (/ s (pow x 6))) (* 36 (/ 1 (pow x 5))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* (pow s 2) (+ (* s (- (* -216 (/ s (pow x 7))) (* 72 (/ 1 (pow x 6))))) (* 36 (/ 1 (pow x 5))))) (* 6 (/ 1 (pow x 3)))))
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 (/ (+ (* -1/16 (pow x 3)) (* -1/24 (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 (/ (- (+ (* 1/24 (/ (pow x 3) s)) (* 1/16 (/ (pow x 3) s))) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))
(+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 3)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (/ 2 (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 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))
(* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (+ (* -1 x) (* 2 s)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (+ (* -1 x) (* 2 s)))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))
(+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s)))
(+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) 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))
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)))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
Outputs
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(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))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.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 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (*.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 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (*.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)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.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 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32))) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32))) s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(neg.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s)) s)) (neg.f32 s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x (/.f32 x (*.f32 s (*.f32 s s)))) #s(literal -1/48 binary32) (/.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 x (*.f32 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 (*.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 (*.f32 (*.f32 s s) (*.f32 s s)) #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))
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(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/16 (pow x 3)) (* -1/24 (pow x 3))) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))
(+.f32 (/.f32 (*.f32 #s(literal 5/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/24 (/ (pow x 3) s)) (* 1/16 (/ (pow x 3) s))) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 5/48 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) s) (*.f32 x #s(literal 1/4 binary32))) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))
(fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))
(fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #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)))
(* -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 -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x)))))
(* (pow x 3) (- (/ 2 (pow x 3)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (-.f32 (/.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)))))
(* (pow x 3) (- (/ 2 (pow x 3)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (-.f32 (/.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 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))
(* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (*.f32 x (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x)))))
(* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x))))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 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 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))
(/.f32 (fma.f32 s (*.f32 s (neg.f32 x)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (+ (* -1 x) (* 2 s)))) (pow s 3))
(/.f32 (fma.f32 s (*.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (+ (* -1 x) (* 2 s)))) (pow s 3))
(/.f32 (fma.f32 s (*.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) (*.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)) (* -1/6 (/ (pow x 3) (pow s 3)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) x) s))
(+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) x) s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 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 #s(literal -1/6 binary32) (/.f32 x 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 #s(literal -1/6 binary32) (/.f32 x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 x (neg.f32 (+.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 x (neg.f32 (+.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 x (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 s #s(literal 1/2 binary32) (*.f32 x #s(literal -1/6 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 s #s(literal 1/2 binary32) (*.f32 x #s(literal -1/6 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 s #s(literal 1/2 binary32) (*.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))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))

eval169.0ms (1.5%)

Memory
18.6MiB live, 278.9MiB allocated
Compiler

Compiled 34 546 to 3 646 computations (89.4% saved)

prune237.0ms (2.1%)

Memory
4.0MiB live, 328.2MiB allocated
Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New1 342171 359
Fresh10717
Picked325
Done044
Total1 355301 385
Accuracy
100.0%
Counts
1 385 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.3%
(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))
31.5%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
▶35.6%
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) x)) (*.f32 x (*.f32 x x)))
36.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
33.4%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
✓17.1%
(/.f32 s (neg.f32 x))
▶61.5%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓64.9%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
59.6%
(/.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)))
46.7%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) s (*.f32 (*.f32 s (*.f32 s (neg.f32 s))) #s(literal -1 binary32))) (*.f32 (*.f32 s (*.f32 s (neg.f32 s))) s)) #s(literal 2 binary32)))
57.3%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
54.9%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
46.7%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 s (neg.f32 s)) (*.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
53.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
▶57.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
59.7%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) #s(literal 2 binary32)))
▶53.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
56.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
36.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
✓43.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
56.5%
(/.f32 #s(literal 1 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 1 binary32))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
19.0%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
29.4%
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s) (neg.f32 s))) s))
28.8%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) #s(literal -4 binary32))) (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) #s(literal -2 binary32)))
10.8%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) s))) #s(literal -4 binary32))) (fma.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) #s(literal -2 binary32)))
▶17.1%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
31.3%
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
✓99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
✓36.5%
#s(literal 1/2 binary32)
Compiler

Compiled 1 005 to 604 computations (39.9% saved)

simplify236.0ms (2.1%)

Memory
-25.2MiB live, 422.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 s s)
✓cost-diff0
(*.f32 (*.f32 s s) #s(literal -6 binary32))
✓cost-diff0
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) x)) (*.f32 x (*.f32 x x)))
✓cost-diff480
(fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) x))
✓cost-diff0
(*.f32 (*.f32 x #s(literal -1/6 binary32)) x)
✓cost-diff0
(/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s)))
✓cost-diff0
(fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
✓cost-diff0
(fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
✓cost-diff192
(/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s)
✓cost-diff0
(/.f32 #s(literal -1 binary32) x)
✓cost-diff96
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓cost-diff0
(*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
✓cost-diff0
(/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓cost-diff416
(fma.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Rules
8 284×accelerator-lowering-fma.f32
8 284×accelerator-lowering-fma.f64
3 190×*-lowering-*.f32
3 190×*-lowering-*.f64
2 146×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043269
1111258
2259246
3562246
4917242
51673242
64010240
77311240
08014225
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ (* (/ (* x (+ (* (/ x s) -1/6) 1/2)) s) (/ x s)) (- 2 (/ x s))))
1
(+ (* (/ (* x (+ (* (/ x s) -1/6) 1/2)) s) (/ x s)) (- 2 (/ x s)))
(/ (* x (+ (* (/ x s) -1/6) 1/2)) s)
(* x (+ (* (/ x s) -1/6) 1/2))
x
(+ (* (/ x s) -1/6) 1/2)
(/ x s)
s
-1/6
1/2
(- 2 (/ x s))
2
(* (/ -1 x) s)
(/ -1 x)
-1
x
s
(/ 1 (+ (* x (/ (/ (* x 1/2) s) s)) 2))
1
(+ (* x (/ (/ (* x 1/2) s) s)) 2)
x
(/ (/ (* x 1/2) s) s)
(/ (* x 1/2) s)
(* x 1/2)
1/2
s
2
(/ 1 (+ (* x (/ (* (* x -1/6) x) (* s (* s s)))) 2))
1
(+ (* x (/ (* (* x -1/6) x) (* s (* s s)))) 2)
x
(/ (* (* x -1/6) x) (* s (* s s)))
(* (* x -1/6) x)
(* x -1/6)
-1/6
(* s (* s s))
s
(* s s)
2
(/ (+ (* s (* (* s s) -6)) (/ (* (* (* s s) (* s s)) -18) x)) (* x (* x x)))
(+ (* s (* (* s s) -6)) (/ (* (* (* s s) (* s s)) -18) x))
s
(* (* s s) -6)
(* s s)
-6
(/ (* (* (* s s) (* s s)) -18) x)
(* (* (* s s) (* s s)) -18)
(* (* s s) (* s s))
-18
x
(* x (* x x))
(* x x)
Outputs
(/ 1 (+ (* (/ (* x (+ (* (/ x s) -1/6) 1/2)) s) (/ x s)) (- 2 (/ x s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* (/ (* x (+ (* (/ x s) -1/6) 1/2)) s) (/ x s)) (- 2 (/ x s)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))
(/ (* x (+ (* (/ x s) -1/6) 1/2)) s)
(/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(* x (+ (* (/ x s) -1/6) 1/2))
(*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
x
(+ (* (/ x s) -1/6) 1/2)
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(/ x s)
(/.f32 x s)
s
-1/6
#s(literal -1/6 binary32)
1/2
#s(literal 1/2 binary32)
(- 2 (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
2
#s(literal 2 binary32)
(* (/ -1 x) s)
(/.f32 s (neg.f32 x))
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
-1
#s(literal -1 binary32)
x
s
(/ 1 (+ (* x (/ (/ (* x 1/2) s) s)) 2))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* x (/ (/ (* x 1/2) s) s)) 2)
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 2 binary32))
x
(/ (/ (* x 1/2) s) s)
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))
(/ (* x 1/2) s)
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
(* x 1/2)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
s
2
#s(literal 2 binary32)
(/ 1 (+ (* x (/ (* (* x -1/6) x) (* s (* s s)))) 2))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* x (/ (* (* x -1/6) x) (* s (* s s)))) 2)
(fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
x
(/ (* (* x -1/6) x) (* s (* s s)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(* (* x -1/6) x)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x -1/6)
(*.f32 x #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))
s
(* s s)
(*.f32 s s)
2
#s(literal 2 binary32)
(/ (+ (* s (* (* s s) -6)) (/ (* (* (* s s) (* s s)) -18) x)) (* x (* x x)))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)))) (*.f32 x (*.f32 x x)))
(+ (* s (* (* s s) -6)) (/ (* (* (* s s) (* s s)) -18) x))
(*.f32 s (*.f32 (*.f32 s s) (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32))))
s
(* (* s s) -6)
(*.f32 s (*.f32 s #s(literal -6 binary32)))
(* s s)
(*.f32 s s)
-6
#s(literal -6 binary32)
(/ (* (* (* s s) (* s s)) -18) x)
(*.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -18 binary32)) x))
(* (* (* s s) (* s s)) -18)
(*.f32 s (*.f32 (*.f32 s (*.f32 s s)) #s(literal -18 binary32)))
(* (* s s) (* s s))
(*.f32 s (*.f32 s (*.f32 s s)))
-18
#s(literal -18 binary32)
x
(* x (* x x))
(*.f32 x (*.f32 x x))
(* x x)
(*.f32 x x)

localize145.0ms (1.3%)

Memory
4.5MiB live, 198.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
✓accuracy99.0%
(*.f32 (*.f32 s s) #s(literal -6 binary32))
✓accuracy94.8%
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) x)
✓accuracy79.5%
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) x)) (*.f32 x (*.f32 x x)))
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
✓accuracy98.9%
(*.f32 x #s(literal -1/6 binary32))
✓accuracy93.9%
(fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
✓accuracy79.3%
(/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s)))
✓accuracy100.0%
(*.f32 x #s(literal 1/2 binary32))
✓accuracy99.6%
(/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s)
✓accuracy98.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
✓accuracy94.6%
(fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32))
✓accuracy100.0%
(/.f32 #s(literal -1 binary32) x)
✓accuracy99.3%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓accuracy99.8%
(/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
✓accuracy99.5%
(*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
✓accuracy99.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓accuracy98.3%
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
Samples
83.0ms254×0valid
2.0ms2×5exit
Compiler

Compiled 284 to 45 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 37.0ms (55.1% of total)
ival-div: 18.0ms (26.8% of total)
ival-add: 6.0ms (8.9% of total)
const: 4.0ms (6% of total)
ival-sub: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
4.5MiB live, 41.9MiB allocated
Counts
23 → 468
Calls
Call 1
Inputs
#<alt (+ (* (/ (* x (+ (* (/ x s) -1/6) 1/2)) s) (/ x s)) (- 2 (/ x s)))>
#<alt (/ 1 (+ (* (/ (* x (+ (* (/ x s) -1/6) 1/2)) s) (/ x s)) (- 2 (/ x s))))>
#<alt (/ (* x (+ (* (/ x s) -1/6) 1/2)) s)>
#<alt (* x (+ (* (/ x s) -1/6) 1/2))>
#<alt (* (/ -1 x) s)>
#<alt (/ -1 x)>
#<alt (/ (/ (* x 1/2) s) s)>
#<alt (/ 1 (+ (* x (/ (/ (* x 1/2) s) s)) 2))>
#<alt (+ (* x (/ (/ (* x 1/2) s) s)) 2)>
#<alt (/ (* x 1/2) s)>
#<alt (/ 1 (+ (* x (/ (* (* x -1/6) x) (* s (* s s)))) 2))>
#<alt (+ (* x (/ (* (* x -1/6) x) (* s (* s s)))) 2)>
#<alt (/ (* (* x -1/6) x) (* s (* s s)))>
#<alt (* (* x -1/6) x)>
#<alt (+ (* s (* (* s s) -6)) (/ (* (* (* s s) (* s s)) -18) x))>
#<alt (/ (+ (* s (* (* s s) -6)) (/ (* (* (* s s) (* s s)) -18) x)) (* x (* x x)))>
#<alt (* (* s s) -6)>
#<alt (* s s)>
#<alt (+ (* (/ x s) -1/6) 1/2)>
#<alt (* x 1/2)>
#<alt (* x -1/6)>
#<alt (/ (* (* (* s s) (* s s)) -18) x)>
#<alt (* (* (* s s) (* s s)) -18)>
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 (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))>
#<alt (- (+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (/ x s))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) (* -1 x)) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ 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 (/ x s))>
#<alt (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 2))>
#<alt (* 1/2 (/ x s))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s)>
#<alt (* 1/2 (/ x s))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* x (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* x (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)>
#<alt (* 1/2 x)>
#<alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))>
#<alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))>
#<alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))>
#<alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))>
#<alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 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 (/ -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 (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<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 1/2>
#<alt (+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* (pow x 3) (+ (* 1/288 (/ (pow x 3) (pow s 6))) (* 1/24 (/ 1 (pow s 3))))))>
#<alt (+ 1/2 (* (pow x 3) (+ (* (pow x 3) (+ (* 1/3456 (/ (pow x 3) (pow s 9))) (* 1/288 (/ 1 (pow s 6))))) (* 1/24 (/ 1 (pow s 3))))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -864 (/ (pow s 9) (pow x 6))) (* -6 (pow s 3))) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3))>
#<alt (/ (- (+ (* -10368 (/ (pow s 12) (pow x 9))) (* -6 (pow s 3))) (+ (* 72 (/ (pow s 6) (pow x 3))) (* 864 (/ (pow s 9) (pow x 6))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -864 (/ (pow s 9) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 10368 (/ (pow s 12) (pow x 3))) (* -864 (pow s 9))) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -72 (/ (pow s 3) (pow x 6))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 3) (- (* -864 (/ (pow s 3) (pow x 9))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 3) (- (* (pow s 3) (- (* -10368 (/ (pow s 3) (pow x 12))) (* 864 (/ 1 (pow x 9))))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))>
#<alt (- (+ 1/2 (* 1/288 (/ (pow x 6) (pow s 6)))) (* -1/24 (/ (pow x 3) (pow s 3))))>
#<alt (- (+ 1/2 (* 1/3456 (/ (pow x 9) (pow s 9)))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* -1/288 (/ (pow x 6) (pow s 6)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/288 (/ (pow x 6) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/3456 (/ (pow x 9) (pow s 3))) (* -1/288 (pow x 6))) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))>
#<alt 2>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt 2>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -6 (pow s 3))>
#<alt (* (pow s 3) (- (* -18 (/ s x)) 6))>
#<alt (* (pow s 3) (- (* -18 (/ s x)) 6))>
#<alt (* (pow s 3) (- (* -18 (/ s x)) 6))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))>
#<alt (* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))>
#<alt (* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))>
#<alt (* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))>
#<alt (* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) x)>
#<alt (/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) x)>
#<alt (/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) x)>
#<alt (* -6 (pow s 3))>
#<alt (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))>
#<alt (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))>
#<alt (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))>
#<alt (* -6 (pow s 3))>
#<alt (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))>
#<alt (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))>
#<alt (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 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) (- (* -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 s 2))>
#<alt (* -6 (pow s 2))>
#<alt (* -6 (pow s 2))>
#<alt (* -6 (pow s 2))>
#<alt (* -6 (pow s 2))>
#<alt (* -6 (pow s 2))>
#<alt (* -6 (pow s 2))>
#<alt (* -6 (pow s 2))>
#<alt (* -6 (pow s 2))>
#<alt (* -6 (pow s 2))>
#<alt (* -6 (pow s 2))>
#<alt (* -6 (pow s 2))>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<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 (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (/ (pow s 4) x))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
#<alt (* -18 (pow s 4))>
Calls

117 calls:

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

rewrite367.0ms (3.3%)

Memory
10.7MiB live, 581.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 390×accelerator-lowering-fma.f32
4 390×accelerator-lowering-fma.f64
4 374×*-lowering-*.f32
4 374×*-lowering-*.f64
4 346×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043221
1254212
22123208
08294197
Stop Event
1×iter limit
1×node limit
Counts
23 → 787
Calls
Call 1
Inputs
(+ (* (/ (* x (+ (* (/ x s) -1/6) 1/2)) s) (/ x s)) (- 2 (/ x s)))
(/ 1 (+ (* (/ (* x (+ (* (/ x s) -1/6) 1/2)) s) (/ x s)) (- 2 (/ x s))))
(/ (* x (+ (* (/ x s) -1/6) 1/2)) s)
(* x (+ (* (/ x s) -1/6) 1/2))
(* (/ -1 x) s)
(/ -1 x)
(/ (/ (* x 1/2) s) s)
(/ 1 (+ (* x (/ (/ (* x 1/2) s) s)) 2))
(+ (* x (/ (/ (* x 1/2) s) s)) 2)
(/ (* x 1/2) s)
(/ 1 (+ (* x (/ (* (* x -1/6) x) (* s (* s s)))) 2))
(+ (* x (/ (* (* x -1/6) x) (* s (* s s)))) 2)
(/ (* (* x -1/6) x) (* s (* s s)))
(* (* x -1/6) x)
(+ (* s (* (* s s) -6)) (/ (* (* (* s s) (* s s)) -18) x))
(/ (+ (* s (* (* s s) -6)) (/ (* (* (* s s) (* s s)) -18) x)) (* x (* x x)))
(* (* s s) -6)
(* s s)
(+ (* (/ x s) -1/6) 1/2)
(* x 1/2)
(* x -1/6)
(/ (* (* (* s s) (* s s)) -18) x)
(* (* (* s s) (* s s)) -18)
Outputs
(exp.f32 (neg.f32 (*.f32 (log.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (*.f32 (/.f32 x s) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))) s))) #s(literal -1 binary32))))
(+.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 x (neg.f32 s)) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) (*.f32 s s))))
(+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) (*.f32 s s)))
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(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))) (/.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (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))) (*.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32)) (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)))))))
(*.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(*.f32 x #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) x)
(*.f32 x #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) x)
(neg.f32 (*.f32 #s(literal 18 binary32) (/.f32 (*.f32 s (*.f32 s (*.f32 s s))) x)))
(neg.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s (*.f32 s s))) #s(literal 18 binary32)) x))
(exp.f32 (*.f32 (log.f32 (/.f32 x (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32))))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 x (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 x (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 x)) (*.f32 #s(literal 18 binary32) (/.f32 (*.f32 s (*.f32 s (*.f32 s s))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 x (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 x (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))) #s(literal 1 binary32))))
(/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32))))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s (*.f32 s s))) #s(literal 18 binary32)) (neg.f32 x))
(/.f32 (*.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32))))) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (*.f32 (*.f32 s (*.f32 s (*.f32 s s))) #s(literal 18 binary32))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32))))) #s(literal 1 binary32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 s (*.f32 s (*.f32 s s))) #s(literal 18 binary32)))) (neg.f32 (neg.f32 (neg.f32 x))))
(*.f32 s (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -18 binary32) x)))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32))))) x))
(*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (/.f32 #s(literal -18 binary32) x)))
(*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s #s(literal -18 binary32))) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (*.f32 s s) (/.f32 (*.f32 s (*.f32 s #s(literal -18 binary32))) x))
(*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (/.f32 #s(literal -18 binary32) x)))
(*.f32 (*.f32 s (*.f32 s (*.f32 s s))) (/.f32 #s(literal -18 binary32) x))
(*.f32 #s(literal -18 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -18 binary32) (/.f32 (*.f32 s (*.f32 s (*.f32 s s))) x))
(*.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32))))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (*.f32 s (*.f32 s (*.f32 s s))) #s(literal 18 binary32)) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -18 binary32) x) (*.f32 s (*.f32 s (*.f32 s s))))
(*.f32 #s(literal 18 binary32) (/.f32 (neg.f32 (*.f32 s (*.f32 s (*.f32 s s)))) x))
(*.f32 (/.f32 (*.f32 s s) #s(literal -1 binary32)) (/.f32 (neg.f32 (*.f32 s (*.f32 s #s(literal -18 binary32)))) x))
(*.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s s))) #s(literal -1 binary32)) (/.f32 #s(literal 18 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 s s)) #s(literal -1 binary32)) (/.f32 (*.f32 s (*.f32 s #s(literal -18 binary32))) x))
(*.f32 (/.f32 (neg.f32 (*.f32 s (*.f32 s (*.f32 s s)))) #s(literal -1 binary32)) (/.f32 #s(literal -18 binary32) x))
(*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))
(*.f32 s (*.f32 (*.f32 s (*.f32 s s)) #s(literal -18 binary32)))
(*.f32 (*.f32 s s) (*.f32 s (*.f32 s #s(literal -18 binary32))))
(*.f32 (*.f32 s (*.f32 s s)) (*.f32 s #s(literal -18 binary32)))
(*.f32 (*.f32 s (*.f32 s (*.f32 s s))) #s(literal -18 binary32))
(*.f32 #s(literal -18 binary32) (*.f32 s (*.f32 s (*.f32 s s))))
(*.f32 (*.f32 s (*.f32 s #s(literal -18 binary32))) (*.f32 s s))
(*.f32 (*.f32 #s(literal -18 binary32) s) (*.f32 s (*.f32 s s)))
(*.f32 (*.f32 #s(literal -18 binary32) (*.f32 s (*.f32 s s))) s)

simplify397.0ms (3.5%)

Memory
2.5MiB live, 708.7MiB allocated
Algorithm
1×egg-herbie
Rules
6 814×accelerator-lowering-fma.f32
6 814×accelerator-lowering-fma.f64
5 518×*-lowering-*.f32
5 518×*-lowering-*.f64
2 262×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05704722
116364655
251764566
083094365
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
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 (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(- (+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (/ x s))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) (* -1 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ 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 (/ x s))
(* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 2))
(* 1/2 (/ x s))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s)
(* 1/2 (/ x s))
(* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s))
(* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s))
(* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s))
(* 1/2 x)
(* x (+ 1/2 (* -1/6 (/ x s))))
(* x (+ 1/2 (* -1/6 (/ x s))))
(* x (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) s))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(* 1/2 x)
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(* 1/2 x)
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 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))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
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(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
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(* 1/2 (/ x (pow s 2)))
(* 1/2 (/ x (pow s 2)))
1/2
(+ 1/2 (* -1/8 (/ (pow x 2) (pow s 2))))
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(+ 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))))))
(* 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))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(+ 1/2 (* (pow x 3) (+ (* 1/288 (/ (pow x 3) (pow s 6))) (* 1/24 (/ 1 (pow s 3))))))
(+ 1/2 (* (pow x 3) (+ (* (pow x 3) (+ (* 1/3456 (/ (pow x 3) (pow s 9))) (* 1/288 (/ 1 (pow s 6))))) (* 1/24 (/ 1 (pow s 3))))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -864 (/ (pow s 9) (pow x 6))) (* -6 (pow s 3))) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3))
(/ (- (+ (* -10368 (/ (pow s 12) (pow x 9))) (* -6 (pow s 3))) (+ (* 72 (/ (pow s 6) (pow x 3))) (* 864 (/ (pow s 9) (pow x 6))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -864 (/ (pow s 9) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 10368 (/ (pow s 12) (pow x 3))) (* -864 (pow s 9))) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -72 (/ (pow s 3) (pow x 6))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* (pow s 3) (- (* -864 (/ (pow s 3) (pow x 9))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* (pow s 3) (- (* (pow s 3) (- (* -10368 (/ (pow s 3) (pow x 12))) (* 864 (/ 1 (pow x 9))))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(- (+ 1/2 (* 1/288 (/ (pow x 6) (pow s 6)))) (* -1/24 (/ (pow x 3) (pow s 3))))
(- (+ 1/2 (* 1/3456 (/ (pow x 9) (pow s 9)))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* -1/288 (/ (pow x 6) (pow s 6)))))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(+ 1/2 (* -1 (/ (- (* -1/288 (/ (pow x 6) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/3456 (/ (pow x 9) (pow s 3))) (* -1/288 (pow x 6))) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -6 (pow s 3))
(* (pow s 3) (- (* -18 (/ s x)) 6))
(* (pow s 3) (- (* -18 (/ s x)) 6))
(* (pow s 3) (- (* -18 (/ s x)) 6))
(* -18 (/ (pow s 4) x))
(* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))
(* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))
(* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))
(* -18 (/ (pow s 4) x))
(* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))
(* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))
(* -1 (* (pow s 4) (+ (* 18 (/ 1 x)) (* 6 (/ 1 s)))))
(* -18 (/ (pow s 4) x))
(/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) x)
(/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) x)
(/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) x)
(* -6 (pow s 3))
(+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))
(+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))
(+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))
(* -6 (pow s 3))
(+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))
(+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))
(+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3)))
(* -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 s 2))
(* -6 (pow s 2))
(* -6 (pow s 2))
(* -6 (pow s 2))
(* -6 (pow s 2))
(* -6 (pow s 2))
(* -6 (pow s 2))
(* -6 (pow s 2))
(* -6 (pow s 2))
(* -6 (pow s 2))
(* -6 (pow s 2))
(* -6 (pow s 2))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
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)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (/ (pow s 4) x))
(* -18 (pow s 4))
(* -18 (pow s 4))
(* -18 (pow s 4))
(* -18 (pow s 4))
(* -18 (pow s 4))
(* -18 (pow s 4))
(* -18 (pow s 4))
(* -18 (pow s 4))
(* -18 (pow s 4))
(* -18 (pow s 4))
(* -18 (pow s 4))
(* -18 (pow s 4))
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 x (*.f32 x x)) (/.f32 #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 #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 s (*.f32 x x))))))
(* (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 s (*.f32 x x)))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #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))))))
(*.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 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 s (*.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 x (*.f32 x x)) (+.f32 (/.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 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #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 #s(literal -1/6 binary32) (*.f32 x x)) (*.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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 s (neg.f32 x))))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(- (+ 2 (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (/ x s))
(+.f32 (fma.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))
(+ 2 (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.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 x (*.f32 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) (+.f32 (/.f32 (pow.f32 s #s(literal 5 binary32)) x) (*.f32 (*.f32 s s) (*.f32 s s)))) 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 (neg.f32 (/.f32 (fma.f32 #s(literal 3 binary32) (fma.f32 #s(literal -36 binary32) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))) (*.f32 #s(literal 54 binary32) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))))) (fma.f32 (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 72 binary32) (*.f32 #s(literal -108 binary32) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s)))))) (*.f32 x (*.f32 x x)))) (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (fma.f32 (/.f32 (pow.f32 s #s(literal 5 binary32)) (*.f32 x x)) #s(literal -54 binary32) (fma.f32 (/.f32 (pow.f32 s #s(literal 5 binary32)) (*.f32 x x)) #s(literal 36 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))))
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#s(literal 2 binary32)
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(+ 1/2 (* -1/6 (/ x s)))
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(+ 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 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.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)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (/ (pow s 4) x))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) (/.f32 #s(literal -18 binary32) x))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))
(* -18 (pow s 4))
(*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32))

eval124.0ms (1.1%)

Memory
26.1MiB live, 329.7MiB allocated
Compiler

Compiled 36 221 to 3 214 computations (91.1% saved)

prune156.0ms (1.4%)

Memory
-28.3MiB live, 457.8MiB allocated
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New1 31441 318
Fresh10919
Picked325
Done156
Total1 328201 348
Accuracy
100.0%
Counts
1 348 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.3%
(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))
31.5%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
35.1%
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
36.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
33.4%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
✓17.1%
(/.f32 s (neg.f32 x))
✓61.5%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
55.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x #s(literal 2 binary32)))
61.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (*.f32 (/.f32 x s) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))) s)))
✓43.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
56.5%
(/.f32 #s(literal 1 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 1 binary32))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
19.0%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
29.4%
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s) (neg.f32 s))) s))
10.8%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) s))) #s(literal -4 binary32))) (fma.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) #s(literal -2 binary32)))
28.3%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s))) (*.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal -2 binary32)))
✓17.1%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
31.3%
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
✓99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
✓36.5%
#s(literal 1/2 binary32)
Compiler

Compiled 1 162 to 421 computations (63.8% saved)

regimes135.0ms (1.2%)

Memory
-4.9MiB live, 246.1MiB allocated
Counts
50 → 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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
(/.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) (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 (*.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 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 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 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s) (neg.f32 s))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (neg.f32 (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 0 binary32))) s))) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (*.f32 (/.f32 x s) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 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 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 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) x)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 s (neg.f32 s)) (*.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) 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) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 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)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) s (*.f32 (*.f32 s (*.f32 s (neg.f32 s))) #s(literal -1 binary32))) (*.f32 (*.f32 s (*.f32 s (neg.f32 s))) s)) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s))) (*.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal -2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) #s(literal -4 binary32))) (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) #s(literal -2 binary32)))
(/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)) (fma.f32 (/.f32 (*.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)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) s))) #s(literal -4 binary32))) (fma.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) #s(literal -2 binary32)))
(/.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 (neg.f32 (/.f32 x s))))))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
Calls

7 calls:

47.0ms
x
19.0ms
s
16.0ms
(neg.f32 x)
15.0ms
(/.f32 (neg.f32 x) s)
13.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
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)

regimes93.0ms (0.8%)

Memory
33.1MiB live, 267.5MiB allocated
Counts
49 → 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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
(/.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) (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 (*.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 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 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 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s) (neg.f32 s))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (neg.f32 (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 0 binary32))) s))) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (*.f32 (/.f32 x s) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 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 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 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) x)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 s (neg.f32 s)) (*.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) 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) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 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)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) s (*.f32 (*.f32 s (*.f32 s (neg.f32 s))) #s(literal -1 binary32))) (*.f32 (*.f32 s (*.f32 s (neg.f32 s))) s)) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s))) (*.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal -2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) #s(literal -4 binary32))) (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) #s(literal -2 binary32)))
(/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)) (fma.f32 (/.f32 (*.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)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) s))) #s(literal -4 binary32))) (fma.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

15.0ms
(neg.f32 x)
14.0ms
s
14.0ms
x
14.0ms
(/.f32 (neg.f32 x) s)
12.0ms
(exp.f32 (/.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)

regimes106.0ms (0.9%)

Memory
-5.7MiB live, 269.6MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
(/.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) (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 (*.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 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 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 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s) (neg.f32 s))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (neg.f32 (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 0 binary32))) s))) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (*.f32 (/.f32 x s) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 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 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 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) x)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 s (neg.f32 s)) (*.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) 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) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 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)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) s (*.f32 (*.f32 s (*.f32 s (neg.f32 s))) #s(literal -1 binary32))) (*.f32 (*.f32 s (*.f32 s (neg.f32 s))) s)) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s))) (*.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 s s)))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal -2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) #s(literal -4 binary32))) (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)) #s(literal -2 binary32)))
(/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)) (fma.f32 (/.f32 (*.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)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) s))) #s(literal -4 binary32))) (fma.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) #s(literal -2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

7 calls:

25.0ms
s
16.0ms
(/.f32 (neg.f32 x) s)
13.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
13.0ms
x
12.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
71.4%2x
64.9%1s
72.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
72.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
72.3%2(exp.f32 (/.f32 (neg.f32 x) s))
72.3%2(/.f32 (neg.f32 x) s)
71.4%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes71.0ms (0.6%)

Memory
-42.3MiB live, 187.0MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
(/.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) (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 (*.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 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 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 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s) (neg.f32 s))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (neg.f32 (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 0 binary32))) s))) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (*.f32 (/.f32 x s) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 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 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 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) x)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 s (neg.f32 s)) (*.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #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 x (*.f32 s s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

6 calls:

16.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
12.0ms
(neg.f32 x)
12.0ms
x
11.0ms
(/.f32 (neg.f32 x) s)
10.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
71.3%2x
71.3%2(neg.f32 x)
71.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
71.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
71.3%2(exp.f32 (/.f32 (neg.f32 x) s))
71.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes46.0ms (0.4%)

Memory
22.6MiB live, 63.4MiB allocated
Counts
38 → 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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
(/.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) (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 (*.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 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 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 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s) (neg.f32 s))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (neg.f32 (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 0 binary32))) s))) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (*.f32 (/.f32 x s) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 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 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 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) x)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 s (neg.f32 s)) (*.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s (*.f32 s 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)) (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

2 calls:

34.0ms
(neg.f32 x)
10.0ms
x
Results
AccuracySegmentsBranch
71.3%2x
71.3%2(neg.f32 x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes80.0ms (0.7%)

Memory
2.1MiB live, 119.3MiB allocated
Counts
34 → 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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
(/.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) (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 (*.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 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 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 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) s) (neg.f32 s))) s))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (neg.f32 (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 0 binary32))) s))) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (*.f32 (/.f32 x s) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 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 (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
Calls

5 calls:

34.0ms
(/.f32 (neg.f32 x) s)
19.0ms
(neg.f32 x)
10.0ms
x
8.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
71.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
71.3%2(exp.f32 (/.f32 (neg.f32 x) s))
71.3%2(/.f32 (neg.f32 x) s)
71.0%2x
71.0%2(neg.f32 x)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes85.0ms (0.8%)

Memory
4.2MiB live, 119.9MiB allocated
Counts
21 → 3
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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
(/.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) (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 (*.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 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 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 1 binary32))))
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)))
(/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
Calls

7 calls:

46.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms
x
6.0ms
s
6.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
59.6%1s
71.1%3x
71.1%3(neg.f32 x)
67.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
67.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
67.4%2(exp.f32 (/.f32 (neg.f32 x) s))
71.0%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes20.0ms (0.2%)

Memory
-30.5MiB live, 52.5MiB allocated
Counts
18 → 3
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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
(/.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) (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)))
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)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
Calls

3 calls:

7.0ms
(/.f32 (neg.f32 x) s)
7.0ms
(neg.f32 x)
5.0ms
x
Results
AccuracySegmentsBranch
70.8%3(/.f32 (neg.f32 x) s)
70.5%3x
70.5%3(neg.f32 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes34.0ms (0.3%)

Memory
29.1MiB live, 68.6MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) s) #s(literal 2 binary32)))
(/.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))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
Calls

6 calls:

11.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
(neg.f32 x)
5.0ms
x
5.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
70.1%3x
70.1%3(neg.f32 x)
67.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
67.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
67.3%2(exp.f32 (/.f32 (neg.f32 x) s))
67.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes11.0ms (0.1%)

Memory
-8.9MiB live, 29.9MiB allocated
Counts
11 → 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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
Calls

3 calls:

5.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
67.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
67.3%2(exp.f32 (/.f32 (neg.f32 x) s))
67.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes24.0ms (0.2%)

Memory
-14.0MiB live, 68.7MiB allocated
Counts
10 → 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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
Calls

6 calls:

7.0ms
(neg.f32 x)
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
60.9%2x
60.9%2(neg.f32 x)
63.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
63.3%2(exp.f32 (/.f32 (neg.f32 x) s))
63.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes79.0ms (0.7%)

Memory
15.5MiB live, 54.4MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #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(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
Outputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
Calls

7 calls:

60.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
s
3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
59.8%2x
59.8%2(neg.f32 x)
43.1%1s
60.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
60.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
60.7%2(exp.f32 (/.f32 (neg.f32 x) s))
60.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes56.0ms (0.5%)

Memory
4.9MiB live, 40.6MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #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:

41.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(neg.f32 x)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
50.1%2x
50.1%2(neg.f32 x)
50.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.8%2(exp.f32 (/.f32 (neg.f32 x) s))
50.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes20.0ms (0.2%)

Memory
-27.0MiB live, 54.9MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #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:

5.0ms
x
5.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(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
48.9%2x
48.9%2(neg.f32 x)
49.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.1%2(exp.f32 (/.f32 (neg.f32 x) s))
49.1%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes19.0ms (0.2%)

Memory
-0.0MiB live, 39.6MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
Calls

6 calls:

9.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
46.9%2x
46.9%2(neg.f32 x)
47.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
47.1%2(exp.f32 (/.f32 (neg.f32 x) s))
47.1%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes6.0ms (0%)

Memory
18.1MiB live, 18.1MiB 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:

1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.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
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
47.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.1%2(/.f32 (neg.f32 x) s)
47.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
47.1%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory
-4.4MiB live, 35.0MiB 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:

2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
x
1.0ms
s
1.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
36.5%1s
36.5%1x
36.5%1(neg.f32 x)
36.5%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
36.5%1(/.f32 (neg.f32 x) s)
36.5%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
36.5%1(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-19.35300064086914
-1.376764178276062
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1893452960373538e-35
1.3189155670877753e-35
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1893452960373538e-35
1.3189155670877753e-35
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.34233325719833374
0.7888813614845276
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0935575289749977e-7
2.115151715997854e-7
0.0ms
-1.9540492611323881e-25
-1.1954138080139523e-25
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
95018483712.0
316937043968.0
0.0ms
-19.35300064086914
-1.376764178276062
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.7888813614845276
137.27886962890625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.7888813614845276
137.27886962890625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
756.5564575195313
1387.1689453125
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
323389280.0
5709163520.0
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.376764178276062
-0.14553877711296082
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.7888813614845276
137.27886962890625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.2009329795837402
+inf
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.2009329795837402
+inf
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify14.0ms (0.1%)

Memory
3.8MiB live, 43.0MiB allocated
Algorithm
1×egg-herbie
Rules
38×*-commutative_binary32
14×+-commutative_binary32
12×sub-neg_binary32
10×neg-sub0_binary32
10×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105337
1136337
2148337
3155337
4157337
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(/.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 -10 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal 16725559/1393796574908163946345982392040522594123776 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal 16725559/1393796574908163946345982392040522594123776 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 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal -6084723/40564819207303340847894502572032 binary32)) #s(literal 1/2 binary32) (if (<=.f32 (neg.f32 x) #s(literal 14073749/70368744177664 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))) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -10 binary32)) #s(literal 1/2 binary32) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 99999997952 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))) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1 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 1000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000000 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 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 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -10 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -10 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal 16725559/1393796574908163946345982392040522594123776 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal 16725559/1393796574908163946345982392040522594123776 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal 16725559/1393796574908163946345982392040522594123776 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 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal -6084723/40564819207303340847894502572032 binary32)) #s(literal 1/2 binary32) (if (<=.f32 (neg.f32 x) #s(literal 14073749/70368744177664 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))) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))))
(if (<=.f32 (neg.f32 x) #s(literal -6084723/40564819207303340847894502572032 binary32)) #s(literal 1/2 binary32) (if (<=.f32 (neg.f32 x) #s(literal 14073749/70368744177664 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))) (/.f32 (*.f32 (*.f32 (*.f32 s s) (*.f32 s s)) #s(literal -18 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -10 binary32)) #s(literal 1/2 binary32) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 99999997952 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))) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -10 binary32)) #s(literal 1/2 binary32) (if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 99999997952 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))) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1 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 1000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000000 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 500000000 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -1 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 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 4 binary32)) #s(literal 1/2 binary32) (*.f32 s (/.f32 #s(literal -1 binary32) x)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 4 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)

soundness2.0s (17.3%)

Memory
6.0MiB live, 1 473.5MiB allocated
Rules
40 054×accelerator-lowering-fma.f32
40 054×accelerator-lowering-fma.f64
13 038×accelerator-lowering-fma.f32
13 038×accelerator-lowering-fma.f64
9 132×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05704722
116364655
251764566
083094365
06944898
120234803
263614697
083764464
039214
1253214
22669204
09202187
07154317
121383738
271413710
081553449
0140758
1378748
21147742
33893722
08438682
031155
1206154
21948150
08496133
0827
14327
225027
3209827
0845626
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 766 to 410 computations (46.5% saved)

preprocess174.0ms (1.5%)

Memory
-28.4MiB live, 185.4MiB allocated
Compiler

Compiled 700 to 222 computations (68.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...