Logistic function

Time bar (total: 11.9s)

analyze38.0ms (0.3%)

Memory
0.6MiB live, 77.6MiB 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)

sample2.1s (17.6%)

Memory
-171.3MiB live, 1 793.2MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
const: 318.0ms (29.4% of total)
ival-add: 165.0ms (15.3% of total)
ival-neg: 165.0ms (15.3% of total)
ival-div: 153.0ms (14.2% of total)
ival-exp: 129.0ms (11.9% of total)
ival-<=: 125.0ms (11.6% of total)
ival-and: 11.0ms (1% of total)
exact: 11.0ms (1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess32.0ms (0.3%)

Memory
-14.1MiB live, 33.8MiB 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)))))

explain96.0ms (0.8%)

Memory
9.3MiB live, 245.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
04(-4.044978140882449e-6 6.068983982032705e-9)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))sensitivity41
Confusion
Predicted +Predicted -
+00
-4252
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-41251
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0252
14
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
33.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 8.0ms (42.3% of total)
ival-exp: 4.0ms (21.1% of total)
ival-add: 3.0ms (15.8% of total)
ival-neg: 3.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
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
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

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

Found 4 expressions of interest:

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

localize25.0ms (0.2%)

Memory
4.8MiB live, 43.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓accuracy99.8%
(exp.f32 (/.f32 (neg.f32 x) s))
Samples
16.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.3% of total)
ival-exp: 2.0ms (24.1% of total)
ival-add: 1.0ms (12.1% of total)
ival-neg: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-24.3MiB live, 16.7MiB 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
2.0ms
x
@0
(+ 1 (exp (/ (neg x) s)))
1.0ms
x
@0
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@-inf
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
s
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@0
(exp (/ (neg x) s))

rewrite363.0ms (3%)

Memory
40.9MiB live, 628.6MiB 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)))

simplify654.0ms (5.5%)

Memory
1.4MiB live, 1 423.1MiB 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)

eval86.0ms (0.7%)

Memory
-1.8MiB live, 230.1MiB allocated
Compiler

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

prune117.0ms (1%)

Memory
-3.6MiB live, 315.3MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New80810818
Fresh000
Picked011
Done000
Total80811819
Accuracy
100.0%
Counts
819 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.2%
(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))
27.2%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
▶99.3%
(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))
42.4%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
▶54.5%
(/.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)))
55.3%
(/.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)))
▶37.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
▶54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
56.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
▶31.6%
#s(literal 1/2 binary32)
Compiler

Compiled 309 to 216 computations (30.1% saved)

simplify316.0ms (2.6%)

Memory
26.5MiB live, 392.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.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)))
✓cost-diff64
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
✓cost-diff64
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
✓cost-diff320
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓cost-diff0
(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
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
✓cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32))
✓cost-diff6112
(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))
Rules
8 972×accelerator-lowering-fma.f32
8 972×accelerator-lowering-fma.f64
2 490×*-lowering-*.f32
2 490×*-lowering-*.f64
1 202×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032238
173236
2148236
3252224
4429224
5716224
61510224
73537224
85120224
96807224
107889224
08037207
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (pow (+ 1 (exp (neg (/ x s)))) -1/2) 2)
(pow (+ 1 (exp (neg (/ x s)))) -1/2)
(+ 1 (exp (neg (/ x s))))
1
(exp (neg (/ x s)))
(neg (/ x s))
(/ x s)
x
s
-1/2
2
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 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))
1
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
2
(/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)
(- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)
(/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)
(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))
(/ (* x (* x x)) s)
(* x (* x x))
x
(* x x)
s
-1/6
(* 1/2 (* x x))
1/2
Outputs
(pow (pow (+ 1 (exp (neg (/ x s)))) -1/2) 2)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(pow (+ 1 (exp (neg (/ x s)))) -1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32))
(+ 1 (exp (neg (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
1
#s(literal 1 binary32)
(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)
2
#s(literal 2 binary32)
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 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)
(/.f32 (*.f32 x (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32))) s)
(- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)
(*.f32 x (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))
(*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))
(/ (* x (* x x)) s)
(*.f32 x (*.f32 x (/.f32 x s)))
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
s
-1/6
#s(literal -1/6 binary32)
(* 1/2 (* x x))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)

localize112.0ms (0.9%)

Memory
-9.6MiB live, 270.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓accuracy93.7%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy90.1%
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓accuracy89.3%
(/.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)
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.7%
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓accuracy99.6%
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓accuracy98.8%
(/.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))
✓accuracy96.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
✓accuracy99.8%
(exp.f32 (neg.f32 (/.f32 x s)))
✓accuracy99.4%
(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))
Samples
65.0ms256×0valid
Compiler

Compiled 245 to 34 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 13.0ms (27.3% of total)
ival-mult: 8.0ms (16.8% of total)
ival-pow: 7.0ms (14.7% of total)
ival-add: 5.0ms (10.5% of total)
const: 4.0ms (8.4% of total)
ival-exp: 2.0ms (4.2% of total)
ival-sub: 2.0ms (4.2% of total)
ival-pow2: 2.0ms (4.2% of total)
exact: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
9.2MiB live, 87.3MiB allocated
Counts
16 → 384
Calls
Call 1
Inputs
#<alt (pow (pow (+ 1 (exp (neg (/ x s)))) -1/2) 2)>
#<alt (pow (+ 1 (exp (neg (/ x s)))) -1/2)>
#<alt (+ 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 (* x x)) s) -1/6) (* 1/2 (* x x)))>
#<alt (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))>
#<alt (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)>
#<alt (/ 1 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))>
#<alt (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)>
#<alt (/ (* x (* x x)) s)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (neg (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (neg (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (neg (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (neg (/ 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 (neg (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (neg (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (neg (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (neg (/ 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 (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))>
#<alt (sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) 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 (neg (/ x s))))>
#<alt (+ 1 (exp (neg (/ x s))))>
#<alt (+ 1 (exp (neg (/ x s))))>
#<alt (+ 1 (exp (neg (/ 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 (neg (/ x s))))>
#<alt (+ 1 (exp (neg (/ x s))))>
#<alt (+ 1 (exp (neg (/ x s))))>
#<alt (+ 1 (exp (neg (/ 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 (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 (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ 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 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
Calls

96 calls:

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

rewrite355.0ms (3%)

Memory
-48.7MiB live, 490.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 382×/-lowering-/.f32
4 382×/-lowering-/.f64
4 170×*-lowering-*.f32
4 170×*-lowering-*.f64
3 308×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032174
1208174
21790174
08309164
Stop Event
1×iter limit
1×node limit
Counts
16 → 513
Calls
Call 1
Inputs
(pow (pow (+ 1 (exp (neg (/ x s)))) -1/2) 2)
(pow (+ 1 (exp (neg (/ x s)))) -1/2)
(+ 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 (* x x)) s) -1/6) (* 1/2 (* x x)))
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
(- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)
(/ 1 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))
(/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)
(/ (* x (* x x)) s)
Outputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))))
(exp.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal 1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -3/4 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -3/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -3/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)))
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(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))))
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s))
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))))
(*.f32 (pow.f32 (/.f32 s (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))) s) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))))
(neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s)))
(neg.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32))))
(/.f32 (*.f32 x (*.f32 x x)) s)
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x x)))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x x))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(*.f32 x (/.f32 (*.f32 x x) s))
(*.f32 (*.f32 x x) (/.f32 x s))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 x x) s) x)
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (*.f32 x x) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (neg.f32 (*.f32 x x)) s))
(*.f32 (/.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 x (neg.f32 s)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 x s))

simplify357.0ms (3%)

Memory
26.8MiB live, 505.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 760×accelerator-lowering-fma.f32
8 760×accelerator-lowering-fma.f64
5 404×*-lowering-*.f32
5 404×*-lowering-*.f64
3 544×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06574554
119354236
261664143
083403929
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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 (neg (/ x s)))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/ 1 (+ 1 (exp (neg (/ 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 (neg (/ x s)))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/ 1 (+ 1 (exp (neg (/ 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)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) 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 (neg (/ x s))))
(+ 1 (exp (neg (/ x s))))
(+ 1 (exp (neg (/ x s))))
(+ 1 (exp (neg (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (neg (/ x s))))
(+ 1 (exp (neg (/ x s))))
(+ 1 (exp (neg (/ x s))))
(+ 1 (exp (neg (/ 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
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(+ 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
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(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* -1 (/ s x))
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)
(/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)
(* -1 (/ s x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ s x))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
(* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ 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 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/480 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (neg (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) s) (*.f32 #s(literal 1/4 binary32) x)) s))
(sqrt 1/2)
(sqrt.f32 #s(literal 1/2 binary32))
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 x (*.f32 s (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(fma.f32 x (fma.f32 #s(literal -1/64 binary32) (/.f32 x (*.f32 s (*.f32 s (sqrt.f32 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (sqrt.f32 #s(literal 1/2 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 s (*.f32 s s)) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 4 binary32)))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal -1/128 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s (sqrt.f32 #s(literal 1/2 binary32))))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (sqrt.f32 #s(literal 1/2 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt (/ 1 (+ 1 (exp (neg (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt 1/2)
(sqrt.f32 #s(literal 1/2 binary32))
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 x (*.f32 s (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))
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(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(/ (pow x 3) s)
(*.f32 x (/.f32 (*.f32 x x) s))

eval102.0ms (0.9%)

Memory
-9.4MiB live, 216.4MiB allocated
Compiler

Compiled 26 075 to 2 890 computations (88.9% saved)

prune182.0ms (1.5%)

Memory
4.7MiB live, 251.0MiB allocated
Pruning

37 alts after pruning (34 fresh and 3 done)

PrunedKeptTotal
New1 003291 032
Fresh055
Picked325
Done011
Total1 006371 043
Accuracy
100.0%
Counts
1 043 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶17.2%
(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))
▶13.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
27.2%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
99.3%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32))
▶99.9%
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
42.4%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
35.1%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
34.6%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
▶16.7%
(/.f32 s (neg.f32 x))
52.1%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
54.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
37.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
55.3%
(/.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)))
51.3%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
53.3%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
55.9%
(/.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)))
49.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
35.3%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
34.4%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
35.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
34.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
18.4%
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
55.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s)))
✓37.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
48.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) x) s)))
54.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
48.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x) s)))
54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
36.1%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
▶37.2%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
23.8%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
56.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
32.6%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
✓31.6%
#s(literal 1/2 binary32)
Compiler

Compiled 1 307 to 852 computations (34.8% saved)

simplify207.0ms (1.7%)

Memory
6.5MiB live, 274.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(*.f32 x (*.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))))))
✓cost-diff192
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
✓cost-diff544
(*.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)))))
✓cost-diff0
(/.f32 x s)
✓cost-diff32
(fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32))
✓cost-diff64
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))
✓cost-diff320
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(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))
✓cost-diff0
(neg.f32 x)
✓cost-diff0
(/.f32 s (neg.f32 x))
✓cost-diff0
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
✓cost-diff0
(exp.f32 #s(literal 2 binary32))
✓cost-diff0
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
Rules
5 090×accelerator-lowering-fma.f32
5 090×accelerator-lowering-fma.f64
3 870×*-lowering-*.f32
3 870×*-lowering-*.f64
1 774×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044263
1113263
2324263
3978261
42317249
53466249
64492247
76567247
08192232
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (exp 2) (* -1/2 (log (+ 1 (exp (/ x (neg s)))))))
(exp 2)
2
(* -1/2 (log (+ 1 (exp (/ x (neg s))))))
-1/2
(log (+ 1 (exp (/ x (neg s)))))
(exp (/ x (neg s)))
(/ x (neg s))
x
(neg s)
s
(/ s (neg x))
s
(neg x)
x
(+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)
(/ x s)
x
s
(+ (* (* x x) (/ -1/48 (* s s))) 1/4)
(* x x)
(/ -1/48 (* s s))
-1/48
(* s s)
1/4
1/2
(+ (* 1/4 (/ x s)) (- 1/2 (/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s)))))
1/4
(/ x s)
x
s
(- 1/2 (/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s))))
1/2
(/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s)))
(+ (* (* x (* x x)) 1/48) 0)
(* x (* x x))
(* x x)
1/48
0
(* s (* s s))
(* s s)
(/ 1 (* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))))
1
(* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))))
x
(* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))
(* x x)
(+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))
(/ 1/2 (* x (* s s)))
1/2
(* x (* s s))
(* s s)
s
(/ -1/6 (* s (* s s)))
-1/6
(* s (* s s))
Outputs
(pow (exp 2) (* -1/2 (log (+ 1 (exp (/ x (neg s)))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp 2)
(exp.f32 #s(literal 2 binary32))
2
#s(literal 2 binary32)
(* -1/2 (log (+ 1 (exp (/ x (neg s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
-1/2
#s(literal -1/2 binary32)
(log (+ 1 (exp (/ x (neg s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(exp (/ x (neg s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ x (neg s))
(neg.f32 (/.f32 x s))
x
(neg s)
(neg.f32 s)
s
(/ s (neg x))
(/.f32 s (neg.f32 x))
s
(neg x)
(neg.f32 x)
x
(+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)
(fma.f32 (/.f32 x s) (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/ x s)
(/.f32 x s)
x
s
(+ (* (* x x) (/ -1/48 (* s s))) 1/4)
(fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32))
(* x x)
(*.f32 x x)
(/ -1/48 (* s s))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
-1/48
#s(literal -1/48 binary32)
(* s s)
(*.f32 s s)
1/4
#s(literal 1/4 binary32)
1/2
#s(literal 1/2 binary32)
(+ (* 1/4 (/ x s)) (- 1/2 (/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s)))))
(fma.f32 (/.f32 x s) (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
1/4
#s(literal 1/4 binary32)
(/ x s)
(/.f32 x s)
x
s
(- 1/2 (/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s))))
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(+ (* (* x (* x x)) 1/48) 0)
(*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32)))
(* x (* x x))
(*.f32 x (*.f32 x x))
(* x x)
(*.f32 x x)
1/48
#s(literal 1/48 binary32)
0
#s(literal 0 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))
(* s s)
(*.f32 s s)
(/ 1 (* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* 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))) x)) (*.f32 s s))
1
#s(literal 1 binary32)
(* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))))
(*.f32 x (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s)))
x
(* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))
(/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s))
(* x x)
(*.f32 x x)
(+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(/ 1/2 (* x (* s s)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
1/2
#s(literal 1/2 binary32)
(* x (* s s))
(*.f32 x (*.f32 s s))
(* s s)
(*.f32 s s)
s
(/ -1/6 (* s (* s s)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
-1/6
#s(literal -1/6 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))

localize156.0ms (1.3%)

Memory
36.6MiB live, 263.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy95.6%
(*.f32 x (*.f32 s s))
✓accuracy94.8%
(*.f32 x (*.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))))))
✓accuracy81.3%
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
✓accuracy75.2%
(*.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)))))
✓accuracy99.8%
(*.f32 s (*.f32 s s))
✓accuracy99.4%
(fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32))
✓accuracy89.8%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
✓accuracy76.5%
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))
✓accuracy100.0%
(*.f32 s s)
✓accuracy99.8%
(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))
✓accuracy99.5%
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
✓accuracy83.6%
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
✓accuracy100.0%
(/.f32 s (neg.f32 x))
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(exp.f32 #s(literal 2 binary32))
✓accuracy99.9%
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
✓accuracy99.8%
(exp.f32 (/.f32 x (neg.f32 s)))
✓accuracy93.4%
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
Samples
66.0ms165×0valid
34.0ms91×1exit
Compiler

Compiled 293 to 45 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 20.0ms (26.7% of total)
ival-mult: 19.0ms (25.3% of total)
const: 10.0ms (13.3% of total)
ival-exp: 5.0ms (6.7% of total)
ival-add: 5.0ms (6.7% of total)
adjust: 4.0ms (5.3% of total)
ival-pow: 4.0ms (5.3% of total)
ival-log1p: 2.0ms (2.7% of total)
ival-neg: 2.0ms (2.7% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series221.0ms (1.8%)

Memory
-11.3MiB live, 299.3MiB allocated
Counts
23 → 456
Calls
Call 1
Inputs
#<alt (pow (exp 2) (* -1/2 (log (+ 1 (exp (/ x (neg s)))))))>
#<alt (exp 2)>
#<alt (* -1/2 (log (+ 1 (exp (/ x (neg s))))))>
#<alt (log (+ 1 (exp (/ x (neg s)))))>
#<alt (/ s (neg x))>
#<alt (neg x)>
#<alt (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)>
#<alt (/ x s)>
#<alt (+ (* (* x x) (/ -1/48 (* s s))) 1/4)>
#<alt (* x x)>
#<alt (+ (* 1/4 (/ x s)) (- 1/2 (/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s)))))>
#<alt (- 1/2 (/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s))))>
#<alt (+ (* (* x (* x x)) 1/48) 0)>
#<alt (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))>
#<alt (/ 1 (* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))))>
#<alt (* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))))>
#<alt (exp (/ x (neg s)))>
#<alt (/ -1/48 (* s s))>
#<alt (* s s)>
#<alt (/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s)))>
#<alt (* s (* s s))>
#<alt (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))>
#<alt (* x (* s s))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))>
#<alt (+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -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 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -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)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))>
#<alt (* -1/2 (log 2))>
#<alt (+ (* -1/2 (log 2)) (* 1/4 (/ x s)))>
#<alt (+ (* -1/2 (log 2)) (* x (+ (* -1/16 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ (* -1/2 (log 2)) (* x (+ (* x (- (* 1/384 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1/2 (log 2))>
#<alt (+ (* -1/2 (log 2)) (* 1/4 (/ x s)))>
#<alt (+ (* -1/2 (log 2)) (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/4 (/ x s))))>
#<alt (+ (* -1/2 (log 2)) (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/12 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/4 (/ x s)))))>
#<alt (* -1/2 (log 2))>
#<alt (+ (* -1/2 (log 2)) (* 1/4 (/ x s)))>
#<alt (+ (* -1 (/ (+ (* -1/4 x) (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)) (* -1/2 (log 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/12 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/4 x)) s)) (* -1/2 (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 (* -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 (* -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 (* -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 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 (/ 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>
#<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 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) 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 1/4>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (/ (- (* 1/4 (* (pow s 2) x)) (* 1/48 (pow x 3))) (pow s 3))>
#<alt (/ (- (* (pow s 2) (+ (* 1/4 x) (* 1/2 s))) (* 1/48 (pow x 3))) (pow s 3))>
#<alt (/ (- (* (pow s 2) (+ (* 1/4 x) (* 1/2 s))) (* 1/48 (pow x 3))) (pow s 3))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/2 (/ 1 (pow x 3))))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (/ (- (* 1/2 (pow s 3)) (* 1/48 (pow x 3))) (pow s 3))>
#<alt (/ (- (* 1/2 (pow s 3)) (* 1/48 (pow x 3))) (pow s 3))>
#<alt (/ (- (* 1/2 (pow s 3)) (* 1/48 (pow x 3))) (pow s 3))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3))))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/48 (pow x 3))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 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) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 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)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2/3 (* s x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* 2 (pow s 2)) (* x (- (* 2/9 x) (* -2/3 s)))) (pow x 2))>
#<alt (/ (+ (* 2 (pow s 2)) (* x (- (* x (+ 2/9 (* 2/27 (/ x s)))) (* -2/3 s)))) (pow x 2))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -54 (/ (pow s 5) (pow x 2))) (* -6 (pow s 3))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -162 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (+ (* 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)) (* -18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -18 (pow s 4)) (* -1 (/ (+ (* 54 (pow s 5)) (* 162 (/ (pow s 6) x))) x))) 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 (- (* -54 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -162 (/ s (pow x 6))) (* 54 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt 1>
#<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 (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (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 (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* 1/48 (/ (pow x 3) (pow s 3)))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ -1/6 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (/ -1/6 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
Calls

114 calls:

TimeVariablePointExpression
95.0ms
x
@inf
(pow (exp 2) (* -1/2 (log (+ 1 (exp (/ x (neg s)))))))
45.0ms
s
@0
(pow (exp 2) (* -1/2 (log (+ 1 (exp (/ x (neg s)))))))
37.0ms
x
@-inf
(pow (exp 2) (* -1/2 (log (+ 1 (exp (/ x (neg s)))))))
8.0ms
x
@inf
(* x x)
4.0ms
s
@inf
(* x (* s s))

rewrite394.0ms (3.3%)

Memory
-39.4MiB live, 630.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 506×/-lowering-/.f32
4 506×/-lowering-/.f64
3 958×*-lowering-*.f32
3 958×*-lowering-*.f64
3 144×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044202
1268200
22647192
08878178
Stop Event
1×iter limit
1×node limit
Counts
23 → 651
Calls
Call 1
Inputs
(pow (exp 2) (* -1/2 (log (+ 1 (exp (/ x (neg s)))))))
(exp 2)
(* -1/2 (log (+ 1 (exp (/ x (neg s))))))
(log (+ 1 (exp (/ x (neg s)))))
(/ s (neg x))
(neg x)
(+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)
(/ x s)
(+ (* (* x x) (/ -1/48 (* s s))) 1/4)
(* x x)
(+ (* 1/4 (/ x s)) (- 1/2 (/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s)))))
(- 1/2 (/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s))))
(+ (* (* x (* x x)) 1/48) 0)
(* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))
(/ 1 (* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s)))))))
(* x (* (* x x) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))))
(exp (/ x (neg s)))
(/ -1/48 (* s s))
(* s s)
(/ (+ (* (* x (* x x)) 1/48) 0) (* s (* s s)))
(* s (* s s))
(+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))
(* x (* s s))
Outputs
(exp.f32 (*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)))))
(exp.f32 (*.f32 #s(literal 2 binary32) (fma.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 4 binary32))) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32))))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (fma.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) #s(literal -1/2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1/4 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.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 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)))) (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/4 binary32)))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))) (exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))))
(exp.f32 #s(literal 2 binary32))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))))))
(neg.f32 (log.f32 (/.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 (log1p.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.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 (log1p.f32 (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 (log1p.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (log.f32 (+.f32 (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 (log1p.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (log1p.f32 (neg.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))))) (log.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(-.f32 (log.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))) (log.f32 (expm1.f32 (/.f32 x (neg.f32 s)))))
(log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(neg.f32 (/.f32 s x))
(exp.f32 (*.f32 (log.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)))
(pow.f32 (/.f32 x (neg.f32 s)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (neg.f32 x)) #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 x s) #s(literal -1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(-.f32 (/.f32 #s(literal 0 binary32) x) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x s) #s(literal -1 binary32)))
(/.f32 s (neg.f32 x))
(/.f32 (neg.f32 s) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 x s) #s(literal -1 binary32))))
(/.f32 (*.f32 s #s(literal 1 binary32)) (neg.f32 x))
(/.f32 (/.f32 s #s(literal -1 binary32)) x)
(/.f32 (neg.f32 (*.f32 s #s(literal 1 binary32))) x)
(/.f32 (neg.f32 (/.f32 s #s(literal -1 binary32))) (neg.f32 x))
(*.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x)))
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal -1 binary32) (/.f32 s x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(*.f32 (/.f32 #s(literal -1 binary32) x) (pow.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(neg.f32 x)
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(-.f32 #s(literal 0 binary32) x)
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))) (/.f32 (*.f32 x (*.f32 x x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) x)) (/.f32 (*.f32 x x) (+.f32 #s(literal 0 binary32) x)))
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(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 x (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 s s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 s s))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))))) (neg.f32 (neg.f32 (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 s s)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s))))))))
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(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s)))))) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 s s))))
(/.f32 (neg.f32 (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 s s)))) (neg.f32 (*.f32 s (*.f32 s s))))
(*.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 s s))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s)))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s)))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))))
(*.f32 x (*.f32 s s))
(*.f32 s (*.f32 x s))
(*.f32 (*.f32 s s) x)
(*.f32 (*.f32 x s) s)

simplify568.0ms (4.8%)

Memory
47.2MiB live, 869.4MiB allocated
Algorithm
1×egg-herbie
Rules
16 736×accelerator-lowering-fma.f32
16 736×accelerator-lowering-fma.f64
5 300×*-lowering-*.f32
5 300×*-lowering-*.f64
4 278×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04534541
112214402
236954185
084593968
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
1/2
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1/2
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1/2
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1/2
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1/2
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(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -54 (/ (pow s 5) x)) (* -18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -18 (pow s 4)) (* -1 (/ (+ (* 54 (pow s 5)) (* 162 (/ (pow s 6) x))) x))) 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 (- (* -54 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -162 (/ s (pow x 6))) (* 54 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* (pow s 2) (+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* (pow s 2) (+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -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 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -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) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -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)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
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)))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (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)
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(/ 1/2 (* (pow s 2) x))
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(* (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) 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 x (fma.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/480 binary32) (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(+.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) (*.f32 s s)))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -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))))))
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) (*.f32 s s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/48 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)))) (*.f32 s (*.f32 s s))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #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 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) s)) s))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -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)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) s) (*.f32 (*.f32 x x) #s(literal 0 binary32))) (neg.f32 s))) s))
(* -1/2 (log 2))
(*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (* -1/2 (log 2)) (* 1/4 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ (* -1/2 (log 2)) (* x (+ (* -1/16 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) s))))
(+ (* -1/2 (log 2)) (* x (+ (* x (- (* 1/384 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/384 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1/2 (log 2))
(*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (* -1/2 (log 2)) (* 1/4 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ (* -1/2 (log 2)) (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/4 (/ x s))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))))
(+ (* -1/2 (log 2)) (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/12 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/4 (/ x s)))))
(+.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s)))) (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))))
(* -1/2 (log 2))
(*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (* -1/2 (log 2)) (* 1/4 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ (* -1 (/ (+ (* -1/4 x) (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)) (* -1/2 (log 2)))
(-.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) s)) s))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/12 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/4 x)) s)) (* -1/2 (log 2)))
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 x #s(literal -1/4 binary32)) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (/.f32 #s(literal 0 binary32) s)) s)) (neg.f32 s)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal 1/8 binary32) (/.f32 x (*.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 (* -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 (* -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 (* -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 2)
(log.f32 #s(literal 2 binary32))
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(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.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 (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #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))))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #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 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(* 1/48 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(/ 1/2 (* (pow s 2) x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ 1/2 (* (pow s 2) x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ 1/2 (* (pow s 2) x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))

eval121.0ms (1%)

Memory
1.2MiB live, 311.9MiB allocated
Compiler

Compiled 34 218 to 3 101 computations (90.9% saved)

prune205.0ms (1.7%)

Memory
9.4MiB live, 469.4MiB allocated
Pruning

42 alts after pruning (36 fresh and 6 done)

PrunedKeptTotal
New1 264181 282
Fresh111829
Picked235
Done033
Total1 277421 319
Accuracy
100.0%
Counts
1 319 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓17.2%
(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))
27.2%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
▶99.9%
(pow.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) #s(literal -1/2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)))
99.3%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32))
✓99.9%
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
▶5.3%
(/.f32 (fma.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
42.4%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
35.1%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
34.6%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
✓16.7%
(/.f32 s (neg.f32 x))
54.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
37.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
55.3%
(/.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)))
55.9%
(/.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)))
35.3%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
35.4%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
▶34.4%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
16.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 s s))))))
35.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))
55.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s)))
✓37.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
48.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
▶54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) x) s)))
54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x) s)))
54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
37.0%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
37.2%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))
37.8%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s)))))
19.8%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s s)))))))
20.2%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 s s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))))))
37.9%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
38.5%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))
18.4%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
18.4%
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
23.8%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
56.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
▶16.7%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
32.6%
(*.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)))))
4.1%
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32)) s) (/.f32 #s(literal 2/3 binary32) x)) s)))
2.6%
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
✓31.6%
#s(literal 1/2 binary32)
Compiler

Compiled 1 517 to 950 computations (37.4% saved)

simplify251.0ms (2.1%)

Memory
-11.0MiB live, 566.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) x)
✓cost-diff64
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) x) s))
✓cost-diff128
(/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) x) s)
✓cost-diff320
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
✓cost-diff0
(fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))
✓cost-diff0
(*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32)))
✓cost-diff0
(fma.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32)))))
✓cost-diff0
(/.f32 (fma.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s))
✓cost-diff160
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s)))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
✓cost-diff0
(/.f32 #s(literal -1 binary32) x)
✓cost-diff96
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓cost-diff0
(/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32))
✓cost-diff0
(exp.f32 #s(literal 4 binary32))
✓cost-diff0
(pow.f32 (exp.f32 #s(literal 4 binary32)) #s(literal -1/2 binary32))
✓cost-diff0
(pow.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) #s(literal -1/2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)))
Rules
7 152×accelerator-lowering-fma.f32
7 152×accelerator-lowering-fma.f64
3 682×*-lowering-*.f32
3 682×*-lowering-*.f64
1 960×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051364
1113342
2250325
3479325
4856325
51631325
63138325
76477325
08339295
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (pow (exp 4) -1/2) (/ (log (+ 1 (exp (/ x (neg s))))) 2))
(pow (exp 4) -1/2)
(exp 4)
4
-1/2
(/ (log (+ 1 (exp (/ x (neg s))))) 2)
(log (+ 1 (exp (/ x (neg s)))))
(exp (/ x (neg s)))
(/ x (neg s))
x
(neg s)
s
2
(* (/ -1 x) s)
(/ -1 x)
-1
x
s
(/ 1 (/ (+ (* 1/2 (* x x)) (* x (neg s))) (* s s)))
1
(/ (+ (* 1/2 (* x x)) (* x (neg s))) (* s s))
(+ (* 1/2 (* x x)) (* x (neg s)))
1/2
(* x x)
x
(* x (neg s))
(neg s)
s
(* s s)
(/ (+ (* x (* x (+ (* (/ x s) 2/27) 2/9))) (* s (+ (* x 2/3) (* s 2)))) (* x x))
(+ (* x (* x (+ (* (/ x s) 2/27) 2/9))) (* s (+ (* x 2/3) (* s 2))))
x
(* x (+ (* (/ x s) 2/27) 2/9))
(+ (* (/ x s) 2/27) 2/9)
(/ x s)
s
2/27
2/9
(* s (+ (* x 2/3) (* s 2)))
(+ (* x 2/3) (* s 2))
2/3
(* s 2)
2
(* x x)
(/ 1 (+ 2 (/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s)))
1
(+ 2 (/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s))
2
(/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s)
(- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x)
(/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s)
(+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s))
(* x x)
x
1/2
(/ (* x (* (* x x) -1/6)) s)
(* x (* (* x x) -1/6))
(* (* x x) -1/6)
-1/6
s
Outputs
(pow (pow (exp 4) -1/2) (/ (log (+ 1 (exp (/ x (neg s))))) 2))
(pow.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) #s(literal -1/2 binary32)) (/.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 2 binary32)))
(pow (exp 4) -1/2)
(pow.f32 (exp.f32 #s(literal 4 binary32)) #s(literal -1/2 binary32))
(exp 4)
(exp.f32 #s(literal 4 binary32))
4
#s(literal 4 binary32)
-1/2
#s(literal -1/2 binary32)
(/ (log (+ 1 (exp (/ x (neg s))))) 2)
(/.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 2 binary32))
(log (+ 1 (exp (/ x (neg s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(exp (/ x (neg s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(/ x (neg s))
(neg.f32 (/.f32 x s))
x
(neg s)
(neg.f32 s)
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 (/ (+ (* 1/2 (* x x)) (* x (neg s))) (* s s)))
(/.f32 (*.f32 s s) (neg.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) x s))))
1
#s(literal 1 binary32)
(/ (+ (* 1/2 (* x x)) (* x (neg s))) (* s s))
(/.f32 (neg.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) x s))) (*.f32 s s))
(+ (* 1/2 (* x x)) (* x (neg s)))
(neg.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) x s)))
1/2
#s(literal 1/2 binary32)
(* x x)
(*.f32 x x)
x
(* x (neg s))
(*.f32 s (neg.f32 x))
(neg s)
(neg.f32 s)
s
(* s s)
(*.f32 s s)
(/ (+ (* x (* x (+ (* (/ x s) 2/27) 2/9))) (* s (+ (* x 2/3) (* s 2)))) (* x x))
(/.f32 (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32)) (*.f32 s #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 s s))) (*.f32 x x))
(+ (* x (* x (+ (* (/ x s) 2/27) 2/9))) (* s (+ (* x 2/3) (* s 2))))
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32)) (*.f32 s #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 s s)))
x
(* x (+ (* (/ x s) 2/27) 2/9))
(*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32)))
(+ (* (/ x s) 2/27) 2/9)
(fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))
(/ x s)
(/.f32 x s)
s
2/27
#s(literal 2/27 binary32)
2/9
#s(literal 2/9 binary32)
(* s (+ (* x 2/3) (* s 2)))
(*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))
(+ (* x 2/3) (* s 2))
(fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32)))
2/3
#s(literal 2/3 binary32)
(* s 2)
(*.f32 s #s(literal 2 binary32))
2
#s(literal 2 binary32)
(* x x)
(*.f32 x x)
(/ 1 (+ 2 (/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (neg.f32 s)) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 2 (/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s))
(fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (neg.f32 s)) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s)
(*.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (neg.f32 s)))
(- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x)
(*.f32 x (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)))
(/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s)
(*.f32 x (/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s))
(+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s))
(*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))
(* x x)
(*.f32 x x)
x
1/2
#s(literal 1/2 binary32)
(/ (* x (* (* x x) -1/6)) s)
(*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))
(* x (* (* x x) -1/6))
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(* (* x x) -1/6)
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
s

localize245.0ms (2.1%)

Memory
-11.0MiB live, 399.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) x) s)))
✓accuracy95.0%
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
✓accuracy90.8%
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
✓accuracy90.0%
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)
✓accuracy99.6%
(*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))
✓accuracy99.5%
(fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32)))
✓accuracy99.4%
(fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))
✓accuracy73.9%
(/.f32 (fma.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
✓accuracy100.0%
(neg.f32 s)
✓accuracy99.8%
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s)))
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
✓accuracy81.3%
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s))
✓accuracy100.0%
(/.f32 #s(literal -1 binary32) x)
✓accuracy99.2%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓accuracy100.0%
(exp.f32 #s(literal 4 binary32))
✓accuracy100.0%
(pow.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) #s(literal -1/2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)))
✓accuracy99.8%
(exp.f32 (/.f32 x (neg.f32 s)))
✓accuracy93.4%
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
Samples
96.0ms164×0valid
43.0ms91×1exit
1.0ms1×5exit
Compiler

Compiled 342 to 52 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-mult: 56.0ms (46.8% of total)
ival-div: 18.0ms (15% of total)
const: 12.0ms (10% of total)
ival-pow: 9.0ms (7.5% of total)
ival-add: 8.0ms (6.7% of total)
adjust: 7.0ms (5.8% of total)
ival-exp: 5.0ms (4.2% of total)
ival-log1p: 2.0ms (1.7% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory
29.8MiB live, 139.1MiB allocated
Counts
26 → 540
Calls
Call 1
Inputs
#<alt (pow (pow (exp 4) -1/2) (/ (log (+ 1 (exp (/ x (neg s))))) 2))>
#<alt (pow (exp 4) -1/2)>
#<alt (exp 4)>
#<alt (/ (log (+ 1 (exp (/ x (neg s))))) 2)>
#<alt (* (/ -1 x) s)>
#<alt (/ -1 x)>
#<alt (/ 1 (/ (+ (* 1/2 (* x x)) (* x (neg s))) (* s s)))>
#<alt (+ (* 1/2 (* x x)) (* x (neg s)))>
#<alt (/ (+ (* 1/2 (* x x)) (* x (neg s))) (* s s))>
#<alt (* x x)>
#<alt (/ (+ (* x (* x (+ (* (/ x s) 2/27) 2/9))) (* s (+ (* x 2/3) (* s 2)))) (* x x))>
#<alt (+ (* x (* x (+ (* (/ x s) 2/27) 2/9))) (* s (+ (* x 2/3) (* s 2))))>
#<alt (* x (+ (* (/ x s) 2/27) 2/9))>
#<alt (+ (* (/ x s) 2/27) 2/9)>
#<alt (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s))>
#<alt (/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s)>
#<alt (+ 2 (/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s))>
#<alt (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x)>
#<alt (log (+ 1 (exp (/ x (neg s)))))>
#<alt (exp (/ x (neg s)))>
#<alt (neg s)>
#<alt (+ (* x 2/3) (* s 2))>
#<alt (* s (+ (* x 2/3) (* s 2)))>
#<alt (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s)>
#<alt (/ (* x (* (* x x) -1/6)) s)>
#<alt (/ 1 (+ 2 (/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s)))>
Outputs
#<alt (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4)))))))>
#<alt (+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)))>
#<alt (+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* x (+ (* -1/4 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4))))) s)) (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (/ (pow (log (sqrt (/ 1 (exp 4)))) 2) (pow s 2))) (* 1/16 (/ (log (sqrt (/ 1 (exp 4)))) (pow s 2)))))))))>
#<alt (+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* x (+ (* -1/4 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4))))) s)) (* x (+ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/64 (/ (pow (log (sqrt (/ 1 (exp 4)))) 2) (pow s 3))) (* -1/384 (/ (pow (log (sqrt (/ 1 (exp 4)))) 3) (pow s 3)))))) (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (/ (pow (log (sqrt (/ 1 (exp 4)))) 2) (pow s 2))) (* 1/16 (/ (log (sqrt (/ 1 (exp 4)))) (pow s 2))))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))>
#<alt (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4)))))))>
#<alt (+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)))>
#<alt (+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)) (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow s 2))))>
#<alt (+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)) (+ (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/16 (* x (* (pow (log (sqrt (/ 1 (exp 4)))) 2) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))) (+ (* -1/384 (* (pow x 3) (pow (log (sqrt (/ 1 (exp 4)))) 3))) (* 1/12 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))))))) (pow s 3)) (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow s 2)))))>
#<alt (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4)))))))>
#<alt (+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)))>
#<alt (+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/4 (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))))) s)))>
#<alt (+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/384 (* (pow x 3) (pow (log (sqrt (/ 1 (exp 4)))) 3))) (+ (* 1/16 (* x (* (pow (log (sqrt (/ 1 (exp 4)))) 2) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/12 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))))))) s)) (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* 1/4 (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))))) s)))>
#<alt (* 1/2 (log 2))>
#<alt (+ (* -1/4 (/ x s)) (* 1/2 (log 2)))>
#<alt (+ (* 1/2 (log 2)) (* x (- (* 1/16 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ (* 1/2 (log 2)) (* x (- (* x (+ (* -1/384 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* 1/2 (log 2))>
#<alt (+ (* -1/4 (/ x s)) (* 1/2 (log 2)))>
#<alt (+ (* -1/4 (/ x s)) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2))))>
#<alt (+ (* -1/4 (/ x s)) (+ (* 1/12 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2)))))>
#<alt (* 1/2 (log 2))>
#<alt (+ (* -1/4 (/ x s)) (* 1/2 (log 2)))>
#<alt (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -1 s) (* -1/2 x)) x)>
#<alt (/ (+ (* -1 s) (* x (- (* -1/4 (/ x s)) 1/2))) x)>
#<alt (/ (+ (* -1 s) (* x (- (* x (- (* -1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))) 1/2))) x)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* 2 (pow s 2)) (* 8 (/ (pow s 4) (pow x 2)))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* 2 (pow s 2)) (* 16 (/ (pow s 5) (pow x 3)))) (+ (* -8 (/ (pow s 4) (pow x 2))) (* -4 (/ (pow s 3) x)))) (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)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow s 5) x)) (* -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 (+ (* 8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* s (+ (* 16 (/ s (pow x 5))) (* 8 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))>
#<alt (* s (- (* -1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))>
#<alt (* s (- (* -1/8 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x)))))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))>
#<alt (* -1 (* s (+ (* -1 (/ (- (* -1/4 (/ x s)) 1/2) s)) (/ 1 x))))>
#<alt (* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 2) s)) (* -1/4 x)) s)) 1/2) s)) (/ 1 x))))>
#<alt (* -1 (* s x))>
#<alt (* x (+ (* -1 s) (* 1/2 x)))>
#<alt (* x (+ (* -1 s) (* 1/2 x)))>
#<alt (* x (+ (* -1 s) (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ s x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1 (* s x)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1 (* s x)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1 (* s x)) (* 1/2 (pow x 2)))>
#<alt (* -1 (* s x))>
#<alt (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))>
#<alt (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))>
#<alt (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))>
#<alt (* -1 (* s x))>
#<alt (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))>
#<alt (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))>
#<alt (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2/3 (* s x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* 2 (pow s 2)) (* x (+ (* 2/9 x) (* 2/3 s)))) (pow x 2))>
#<alt (/ (+ (* 2 (pow s 2)) (* x (+ (* 2/3 s) (* x (+ 2/9 (* 2/27 (/ x s))))))) (pow x 2))>
#<alt (* 2/27 (/ x s))>
#<alt (* x (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* x (+ (* 2/3 (/ s (pow x 2))) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x)))))>
#<alt (* x (+ (* 2/3 (/ s (pow x 2))) (+ (* 2 (/ (pow s 2) (pow x 3))) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))))>
#<alt (* 2/27 (/ x s))>
#<alt (* x (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2/9 (* 2/3 (/ s x))) x)) (* 2/27 (/ 1 s)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2/9 (* -1 (/ (+ (* -2 (/ (pow s 2) x)) (* -2/3 s)) x))) x)) (* 2/27 (/ 1 s)))))>
#<alt (* 2/27 (/ x s))>
#<alt (/ (+ (* 2/27 x) (* 2/9 s)) s)>
#<alt (/ (+ (* 2/27 x) (* s (+ 2/9 (* 2/3 (/ s x))))) s)>
#<alt (/ (+ (* 2/27 x) (* s (+ 2/9 (* s (+ (* 2 (/ s (pow x 2))) (* 2/3 (/ 1 x))))))) s)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow s 2))>
#<alt (+ (* 2/3 (* s x)) (* 2 (pow s 2)))>
#<alt (+ (* 2 (pow s 2)) (* x (+ (* 2/9 x) (* 2/3 s))))>
#<alt (+ (* 2 (pow s 2)) (* x (+ (* 2/3 s) (* x (+ 2/9 (* 2/27 (/ x s)))))))>
#<alt (* 2/27 (/ (pow x 3) s))>
#<alt (* (pow x 3) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ s (pow x 2))) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x)))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ s (pow x 2))) (+ (* 2 (/ (pow s 2) (pow x 3))) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))))>
#<alt (* 2/27 (/ (pow x 3) s))>
#<alt (* (pow x 3) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2/9 (* 2/3 (/ s x))) x)) (* 2/27 (/ 1 s)))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2/9 (* -1 (/ (+ (* -2 (/ (pow s 2) x)) (* -2/3 s)) x))) x)) (* 2/27 (/ 1 s)))))>
#<alt (* 2/27 (/ (pow x 3) s))>
#<alt (/ (+ (* 2/27 (pow x 3)) (* 2/9 (* s (pow x 2)))) s)>
#<alt (/ (+ (* 2/27 (pow x 3)) (* s (+ (* 2/9 (pow x 2)) (* 2/3 (* s x))))) s)>
#<alt (/ (+ (* 2/27 (pow x 3)) (* s (+ (* 2/9 (pow x 2)) (* s (+ (* 2/3 x) (* 2 s)))))) s)>
#<alt (* 2 (pow s 2))>
#<alt (* (pow s 2) (+ 2 (* 2/3 (/ x s))))>
#<alt (* (pow s 2) (+ 2 (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s)))))>
#<alt (* (pow s 2) (+ 2 (+ (* 2/27 (/ (pow x 3) (pow s 3))) (+ (* 2/9 (/ (pow x 2) (pow s 2))) (* 2/3 (/ x s))))))>
#<alt (* 2 (pow s 2))>
#<alt (* (pow s 2) (+ 2 (* 2/3 (/ x s))))>
#<alt (* (pow s 2) (+ 2 (* -1 (/ (+ (* -2/3 x) (* -2/9 (/ (pow x 2) s))) s))))>
#<alt (* (pow s 2) (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 2/27 (/ (pow x 3) s)) (* 2/9 (pow x 2))) s)) (* -2/3 x)) s))))>
#<alt (* 2/9 x)>
#<alt (* x (+ 2/9 (* 2/27 (/ x s))))>
#<alt (* x (+ 2/9 (* 2/27 (/ x s))))>
#<alt (* x (+ 2/9 (* 2/27 (/ x s))))>
#<alt (* 2/27 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* 2/27 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* 2/27 (/ (pow x 2) s))>
#<alt (/ (+ (* 2/27 (pow x 2)) (* 2/9 (* s x))) s)>
#<alt (/ (+ (* 2/27 (pow x 2)) (* 2/9 (* s x))) s)>
#<alt (/ (+ (* 2/27 (pow x 2)) (* 2/9 (* s x))) s)>
#<alt (* 2/9 x)>
#<alt (+ (* 2/27 (/ (pow x 2) s)) (* 2/9 x))>
#<alt (+ (* 2/27 (/ (pow x 2) s)) (* 2/9 x))>
#<alt (+ (* 2/27 (/ (pow x 2) s)) (* 2/9 x))>
#<alt (* 2/9 x)>
#<alt (+ (* 2/27 (/ (pow x 2) s)) (* 2/9 x))>
#<alt (+ (* 2/27 (/ (pow x 2) s)) (* 2/9 x))>
#<alt (+ (* 2/27 (/ (pow x 2) s)) (* 2/9 x))>
#<alt 2/9>
#<alt (+ 2/9 (* 2/27 (/ x s)))>
#<alt (+ 2/9 (* 2/27 (/ x s)))>
#<alt (+ 2/9 (* 2/27 (/ x s)))>
#<alt (* 2/27 (/ x s))>
#<alt (* x (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* x (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* x (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* 2/27 (/ x s))>
#<alt (* x (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* x (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* x (+ (* 2/27 (/ 1 s)) (* 2/9 (/ 1 x))))>
#<alt (* 2/27 (/ x s))>
#<alt (/ (+ (* 2/27 x) (* 2/9 s)) s)>
#<alt (/ (+ (* 2/27 x) (* 2/9 s)) s)>
#<alt (/ (+ (* 2/27 x) (* 2/9 s)) s)>
#<alt 2/9>
#<alt (+ 2/9 (* 2/27 (/ x s)))>
#<alt (+ 2/9 (* 2/27 (/ x s)))>
#<alt (+ 2/9 (* 2/27 (/ x s)))>
#<alt 2/9>
#<alt (+ 2/9 (* 2/27 (/ x s)))>
#<alt (+ 2/9 (* 2/27 (/ x s)))>
#<alt (+ 2/9 (* 2/27 (/ x s)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (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 (* -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 (* -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 (* -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 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 (* -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 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* 2 s)>
#<alt (+ (* 2/3 x) (* 2 s))>
#<alt (+ (* 2/3 x) (* 2 s))>
#<alt (+ (* 2/3 x) (* 2 s))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 2 (/ s x))))>
#<alt (* x (+ 2/3 (* 2 (/ s x))))>
#<alt (* x (+ 2/3 (* 2 (/ s x))))>
#<alt (* 2/3 x)>
#<alt (* -1 (* x (- (* -2 (/ s x)) 2/3)))>
#<alt (* -1 (* x (- (* -2 (/ s x)) 2/3)))>
#<alt (* -1 (* x (- (* -2 (/ s x)) 2/3)))>
#<alt (* 2/3 x)>
#<alt (+ (* 2/3 x) (* 2 s))>
#<alt (+ (* 2/3 x) (* 2 s))>
#<alt (+ (* 2/3 x) (* 2 s))>
#<alt (* 2 s)>
#<alt (* s (+ 2 (* 2/3 (/ x s))))>
#<alt (* s (+ 2 (* 2/3 (/ x s))))>
#<alt (* s (+ 2 (* 2/3 (/ x s))))>
#<alt (* 2 s)>
#<alt (* -1 (* s (- (* -2/3 (/ x s)) 2)))>
#<alt (* -1 (* s (- (* -2/3 (/ x s)) 2)))>
#<alt (* -1 (* s (- (* -2/3 (/ x s)) 2)))>
#<alt (* 2/3 (* s x))>
#<alt (* s (+ (* 2/3 x) (* 2 s)))>
#<alt (* s (+ (* 2/3 x) (* 2 s)))>
#<alt (* s (+ (* 2/3 x) (* 2 s)))>
#<alt (* 2 (pow s 2))>
#<alt (* (pow s 2) (+ 2 (* 2/3 (/ x s))))>
#<alt (* (pow s 2) (+ 2 (* 2/3 (/ x s))))>
#<alt (* (pow s 2) (+ 2 (* 2/3 (/ x s))))>
#<alt (* 2 (pow s 2))>
#<alt (* (pow s 2) (+ 2 (* 2/3 (/ x s))))>
#<alt (* (pow s 2) (+ 2 (* 2/3 (/ x s))))>
#<alt (* (pow s 2) (+ 2 (* 2/3 (/ x s))))>
#<alt (* 2 (pow s 2))>
#<alt (+ (* 2/3 (* s x)) (* 2 (pow s 2)))>
#<alt (+ (* 2/3 (* s x)) (* 2 (pow s 2)))>
#<alt (+ (* 2/3 (* s x)) (* 2 (pow s 2)))>
#<alt (* 2/3 (* s x))>
#<alt (* x (+ (* 2/3 s) (* 2 (/ (pow s 2) x))))>
#<alt (* x (+ (* 2/3 s) (* 2 (/ (pow s 2) x))))>
#<alt (* x (+ (* 2/3 s) (* 2 (/ (pow s 2) x))))>
#<alt (* 2/3 (* s x))>
#<alt (* -1 (* x (+ (* -2 (/ (pow s 2) x)) (* -2/3 s))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow s 2) x)) (* -2/3 s))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow s 2) x)) (* -2/3 s))))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) 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)))>
Calls

135 calls:

TimeVariablePointExpression
20.0ms
x
@inf
(pow (pow (exp 4) -1/2) (/ (log (+ 1 (exp (/ x (neg s))))) 2))
14.0ms
s
@0
(pow (pow (exp 4) -1/2) (/ (log (+ 1 (exp (/ x (neg s))))) 2))
2.0ms
s
@-inf
(/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s)
1.0ms
s
@inf
(pow (pow (exp 4) -1/2) (/ (log (+ 1 (exp (/ x (neg s))))) 2))
1.0ms
x
@0
(pow (pow (exp 4) -1/2) (/ (log (+ 1 (exp (/ x (neg s))))) 2))

rewrite428.0ms (3.6%)

Memory
9.4MiB live, 804.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 580×/-lowering-/.f32
4 580×/-lowering-/.f64
4 322×*-lowering-*.f32
4 322×*-lowering-*.f64
3 188×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051299
1302277
22398276
08481251
Stop Event
1×iter limit
1×node limit
Counts
26 → 882
Calls
Call 1
Inputs
(pow (pow (exp 4) -1/2) (/ (log (+ 1 (exp (/ x (neg s))))) 2))
(pow (exp 4) -1/2)
(exp 4)
(/ (log (+ 1 (exp (/ x (neg s))))) 2)
(* (/ -1 x) s)
(/ -1 x)
(/ 1 (/ (+ (* 1/2 (* x x)) (* x (neg s))) (* s s)))
(+ (* 1/2 (* x x)) (* x (neg s)))
(/ (+ (* 1/2 (* x x)) (* x (neg s))) (* s s))
(* x x)
(/ (+ (* x (* x (+ (* (/ x s) 2/27) 2/9))) (* s (+ (* x 2/3) (* s 2)))) (* x x))
(+ (* x (* x (+ (* (/ x s) 2/27) 2/9))) (* s (+ (* x 2/3) (* s 2))))
(* x (+ (* (/ x s) 2/27) 2/9))
(+ (* (/ x s) 2/27) 2/9)
(+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s))
(/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s)
(+ 2 (/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s))
(- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x)
(log (+ 1 (exp (/ x (neg s)))))
(exp (/ x (neg s)))
(neg s)
(+ (* x 2/3) (* s 2))
(* s (+ (* x 2/3) (* s 2)))
(/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s)
(/ (* x (* (* x x) -1/6)) s)
(/ 1 (+ 2 (/ (- (/ (+ (* (* x x) 1/2) (/ (* x (* (* x x) -1/6)) s)) s) x) s)))
Outputs
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)) #s(literal -2 binary32)))
(exp.f32 (*.f32 #s(literal 4 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32))))
(exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)) (*.f32 #s(literal -2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (*.f32 #s(literal -1/2 binary32) (fma.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (fma.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))))
(pow.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -4 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))
(pow.f32 (exp.f32 #s(literal 8 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32))))
(pow.f32 (exp.f32 #s(literal 8 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal 8 binary32)) (*.f32 #s(literal -1/4 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))))
(pow.f32 (exp.f32 #s(literal 8 binary32)) (*.f32 #s(literal -1/4 binary32) (fma.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(pow.f32 (exp.f32 #s(literal 8 binary32)) (*.f32 #s(literal -1/4 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(pow.f32 (exp.f32 (*.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(literal 1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))) #s(literal -2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -2 binary32))))
(sqrt.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))))
(*.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/4 binary32)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))) (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))))
(*.f32 (exp.f32 (*.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))
(exp.f32 #s(literal -2 binary32))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 8 binary32))) #s(literal -1/4 binary32)))
(pow.f32 (exp.f32 #s(literal 4 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 8 binary32)) #s(literal -1/4 binary32))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal 4 binary32))
(neg.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -2 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -2 binary32)))
(-.f32 (/.f32 (log1p.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) #s(literal 2 binary32)) (/.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))))) #s(literal 2 binary32)))
(-.f32 (/.f32 (log1p.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) #s(literal 2 binary32)) (/.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))))
(/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))) #s(literal -2 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1/2 binary32))
(neg.f32 (/.f32 s x))
(pow.f32 (/.f32 x (neg.f32 s)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (neg.f32 x)) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) x) (/.f32 s x))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x #s(literal -1 binary32))) (/.f32 (neg.f32 s) (*.f32 x #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 s (neg.f32 x))
(/.f32 s (*.f32 x #s(literal -1 binary32)))
(/.f32 (neg.f32 s) x)
(/.f32 (neg.f32 s) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 s) (neg.f32 (*.f32 x #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (*.f32 s #s(literal 1 binary32)) (neg.f32 x))
(/.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 x #s(literal -1 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 x s)) (*.f32 x #s(literal 1 binary32))) (*.f32 x (/.f32 x s)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) x) (*.f32 x s)) (*.f32 x x))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 x)) (*.f32 x (neg.f32 s))) (*.f32 x (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 s #s(literal 1 binary32))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 s #s(literal 1 binary32))) (neg.f32 (*.f32 x #s(literal -1 binary32))))
(*.f32 s (/.f32 #s(literal -1 binary32) x))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal -1 binary32) (/.f32 s x))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) x) s))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(neg.f32 (/.f32 #s(literal 1 binary32) x))
(exp.f32 (*.f32 (log.f32 (neg.f32 x)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 x #s(literal -1 binary32))) #s(literal -1 binary32)))
(pow.f32 (neg.f32 x) #s(literal -1 binary32))
(pow.f32 (*.f32 x #s(literal -1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (neg.f32 x))
(/.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (neg.f32 x))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 x #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))) (/.f32 (*.f32 s s) (neg.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s (neg.f32 s))))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (*.f32 s (neg.f32 s)) (neg.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(/.f32 (neg.f32 (*.f32 s (neg.f32 s))) (neg.f32 (neg.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))))
(*.f32 (*.f32 s s) (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) #s(literal 1 binary32))
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(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal 1 binary32)) #s(literal -1 binary32)))
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(neg.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) #s(literal -1 binary32)))
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(pow.f32 (/.f32 (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) s)
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) (neg.f32 s))
(/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32))) s)
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(/.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) #s(literal 1 binary32))) (neg.f32 s))
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(*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))
(*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (/.f32 x s))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s) x)
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s)) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s))))))
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(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s))) #s(literal 1 binary32))
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(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x)) (*.f32 s s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x)) (*.f32 s s)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) x) s))) #s(literal -1 binary32)))

simplify422.0ms (3.5%)

Memory
-17.5MiB live, 743.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 432×accelerator-lowering-fma.f32
9 432×accelerator-lowering-fma.f64
6 936×*-lowering-*.f32
6 936×*-lowering-*.f64
3 656×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08206713
125206435
279606284
082415905
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4)))))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* x (+ (* -1/4 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4))))) s)) (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (/ (pow (log (sqrt (/ 1 (exp 4)))) 2) (pow s 2))) (* 1/16 (/ (log (sqrt (/ 1 (exp 4)))) (pow s 2)))))))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* x (+ (* -1/4 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4))))) s)) (* x (+ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/64 (/ (pow (log (sqrt (/ 1 (exp 4)))) 2) (pow s 3))) (* -1/384 (/ (pow (log (sqrt (/ 1 (exp 4)))) 3) (pow s 3)))))) (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (/ (pow (log (sqrt (/ 1 (exp 4)))) 2) (pow s 2))) (* 1/16 (/ (log (sqrt (/ 1 (exp 4)))) (pow s 2))))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4)))))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)) (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow s 2))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)) (+ (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/16 (* x (* (pow (log (sqrt (/ 1 (exp 4)))) 2) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))) (+ (* -1/384 (* (pow x 3) (pow (log (sqrt (/ 1 (exp 4)))) 3))) (* 1/12 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))))))) (pow s 3)) (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow s 2)))))
(exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4)))))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/4 (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))))) s)))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/384 (* (pow x 3) (pow (log (sqrt (/ 1 (exp 4)))) 3))) (+ (* 1/16 (* x (* (pow (log (sqrt (/ 1 (exp 4)))) 2) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/12 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))))))) s)) (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* 1/4 (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))))) s)))
(* 1/2 (log 2))
(+ (* -1/4 (/ x s)) (* 1/2 (log 2)))
(+ (* 1/2 (log 2)) (* x (- (* 1/16 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ (* 1/2 (log 2)) (* x (- (* x (+ (* -1/384 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* 1/2 (log 2))
(+ (* -1/4 (/ x s)) (* 1/2 (log 2)))
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(+ (* -1/4 (/ x s)) (+ (* 1/12 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2)))))
(* 1/2 (log 2))
(+ (* -1/4 (/ x s)) (* 1/2 (log 2)))
(+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
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(* -1 (/ s x))
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(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
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(* -1 (/ s x))
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(* -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 (/ s x))
(/ (+ (* -1 s) (* -1/2 x)) x)
(/ (+ (* -1 s) (* x (- (* -1/4 (/ x s)) 1/2))) x)
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(* x (+ (* 2/3 s) (* 2 (/ (pow s 2) x))))
(* x (+ (* 2/3 s) (* 2 (/ (pow s 2) x))))
(* x (+ (* 2/3 s) (* 2 (/ (pow s 2) x))))
(* 2/3 (* s x))
(* -1 (* x (+ (* -2 (/ (pow s 2) x)) (* -2/3 s))))
(* -1 (* x (+ (* -2 (/ (pow s 2) x)) (* -2/3 s))))
(* -1 (* x (+ (* -2 (/ (pow s 2) x)) (* -2/3 s))))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
Outputs
(exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4)))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)))
(fma.f32 (*.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x) (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* x (+ (* -1/4 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4))))) s)) (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (/ (pow (log (sqrt (/ 1 (exp 4)))) 2) (pow s 2))) (* 1/16 (/ (log (sqrt (/ 1 (exp 4)))) (pow s 2)))))))))
(fma.f32 x (fma.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) (*.f32 (/.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) s) #s(literal -1/4 binary32)) (*.f32 (fma.f32 #s(literal 1/32 binary32) (/.f32 (pow.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) #s(literal 2 binary32)) (*.f32 s s)) (/.f32 (*.f32 #s(literal 1/16 binary32) (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))))) (*.f32 s s))) (*.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) x))) (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* x (+ (* -1/4 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4))))) s)) (* x (+ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/64 (/ (pow (log (sqrt (/ 1 (exp 4)))) 2) (pow s 3))) (* -1/384 (/ (pow (log (sqrt (/ 1 (exp 4)))) 3) (pow s 3)))))) (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (/ (pow (log (sqrt (/ 1 (exp 4)))) 2) (pow s 2))) (* 1/16 (/ (log (sqrt (/ 1 (exp 4)))) (pow s 2))))))))))
(fma.f32 x (fma.f32 x (fma.f32 (fma.f32 #s(literal -1/384 binary32) (pow.f32 (/.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) s) #s(literal 3 binary32)) (/.f32 (*.f32 #s(literal -1/64 binary32) (pow.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) #s(literal 2 binary32))) (*.f32 s (*.f32 s s)))) (*.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) x) (*.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/32 binary32) (/.f32 (pow.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) #s(literal 2 binary32)) (*.f32 s s)) (/.f32 (*.f32 #s(literal 1/16 binary32) (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))))) (*.f32 s s))))) (*.f32 #s(literal -1/4 binary32) (*.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) s)))) (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log (sqrt (/ 1 (exp 4)))) (log (+ 1 (exp (* -1 (/ x s))))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4)))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)))
(fma.f32 (*.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x) (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)) (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow s 2))))
(fma.f32 (*.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 (pow.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) #s(literal 2 binary32)) (*.f32 x x)) (*.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) (*.f32 s s)) (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32))))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)) (+ (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* -1/16 (* x (* (pow (log (sqrt (/ 1 (exp 4)))) 2) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))) (+ (* -1/384 (* (pow x 3) (pow (log (sqrt (/ 1 (exp 4)))) 3))) (* 1/12 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))))))) (pow s 3)) (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow s 2)))))
(fma.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) (+.f32 (/.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 (pow.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) #s(literal 2 binary32)) (*.f32 x x)) (*.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (*.f32 s s)) (/.f32 (fma.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) (*.f32 (*.f32 x #s(literal 0 binary32)) #s(literal 1/12 binary32)) (fma.f32 (pow.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) #s(literal 3 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/384 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (*.f32 (*.f32 x x) #s(literal 1/4 binary32))) (pow.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) #s(literal 2 binary32))))) (*.f32 s (*.f32 s s)))) (fma.f32 (*.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x) (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32))))))
(exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4)))))))
(pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1/4 (/ (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))) s)))
(fma.f32 (*.f32 (log.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32)))) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x) (pow.f32 (sqrt.f32 (exp.f32 #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))))
(+ (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (+ (* 1/32 (* (pow x 2) (pow (log (sqrt (/ 1 (exp 4)))) 2))) (* 1/4 (* (log (sqrt (/ 1 (exp 4)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/4 (* x (* (exp (* 1/2 (* (log 2) (log (sqrt (/ 1 (exp 4))))))) (log (sqrt (/ 1 (exp 4)))))))) s)))
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(fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))
(+ 2/9 (* 2/27 (/ x s)))
(fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))
(+ 2/9 (* 2/27 (/ x s)))
(fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))
2/9
#s(literal 2/9 binary32)
(+ 2/9 (* 2/27 (/ x s)))
(fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))
(+ 2/9 (* 2/27 (/ x s)))
(fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))
(+ 2/9 (* 2/27 (/ x s)))
(fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))
(* 1/2 (pow x 2))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))))
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(*.f32 (*.f32 x x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))))
(* -1/6 (/ (pow x 3) s))
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(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
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(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
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(* 1/2 (pow x 2))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
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(* 1/2 (pow x 2))
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(* -1/6 (/ (pow x 3) (pow s 3)))
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(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
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(* -1/6 (/ (pow x 3) (pow s 3)))
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(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
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(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
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(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/.f32 (*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/.f32 (*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) (neg.f32 s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
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(/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.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 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 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)))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(* -1 x)
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(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) 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 (/.f32 (*.f32 x 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 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 x (pow.f32 s #s(literal 4 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 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal -18 binary32) (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)))) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/.f32 (fma.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal -18 binary32) (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32)) (neg.f32 (*.f32 x x))))) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(/.f32 (-.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (fma.f32 s (*.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal 72 binary32) (*.f32 #s(literal -108 binary32) (pow.f32 s #s(literal 6 binary32))))) (*.f32 (neg.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 4 binary32)) (/.f32 #s(literal 18 binary32) x) (/.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal -36 binary32)) (*.f32 x 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))) (*.f32 (neg.f32 x) (*.f32 x x)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32) (/.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal -18 binary32)) x)) (neg.f32 x))) (*.f32 (neg.f32 x) (*.f32 x x)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32) (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32) (fma.f32 #s(literal -3 binary32) (/.f32 (*.f32 s (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal -18 binary32))) x) (fma.f32 (pow.f32 s #s(literal 6 binary32)) (/.f32 #s(literal 72 binary32) x) (/.f32 (*.f32 #s(literal -108 binary32) (pow.f32 s #s(literal 6 binary32))) x)))) (neg.f32 x))) (neg.f32 x))) (*.f32 (neg.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 (/.f32 s (pow.f32 x #s(literal 5 binary32))) #s(literal -18 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 #s(literal -18 binary32) (/.f32 s (pow.f32 x #s(literal 6 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 #s(literal -1/4 binary32) x (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 (*.f32 x (/.f32 (*.f32 x x) s)) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) s))

eval204.0ms (1.7%)

Memory
33.4MiB live, 394.7MiB allocated
Compiler

Compiled 45 789 to 4 601 computations (90% saved)

prune220.0ms (1.8%)

Memory
-21.4MiB live, 529.0MiB allocated
Pruning

55 alts after pruning (47 fresh and 8 done)

PrunedKeptTotal
New1 485201 505
Fresh42731
Picked235
Done156
Total1 492551 547
Accuracy
100.0%
Counts
1 547 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓17.2%
(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))
27.2%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
99.3%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32))
99.9%
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))
3.4%
(/.f32 (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/4 binary32) s)) #s(literal -1/2 binary32)) (neg.f32 s)) x)
✓5.3%
(/.f32 (fma.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
4.6%
(/.f32 (fma.f32 x (*.f32 x (/.f32 (-.f32 #s(literal 4/81 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 2/27 binary32)) (*.f32 x #s(literal 2/27 binary32))) (*.f32 s s))) (-.f32 #s(literal 2/9 binary32) (/.f32 (*.f32 x #s(literal 2/27 binary32)) s)))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
11.7%
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
5.7%
(/.f32 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
8.2%
(/.f32 (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) x) x)
42.4%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
35.1%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
7.5%
(/.f32 (*.f32 x #s(literal 2/27 binary32)) s)
35.1%
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
33.9%
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
34.6%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
4.4%
(/.f32 (*.f32 #s(literal 2/27 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) (*.f32 x x))
✓16.7%
(/.f32 s (neg.f32 x))
54.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
37.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
55.3%
(/.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)))
55.9%
(/.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)))
34.9%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
35.4%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
21.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s)))))
16.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 s s))))))
35.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))
55.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s)))
✓37.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
55.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 #s(literal -1 binary32) x) (*.f32 s (/.f32 #s(literal 1 binary32) s))) (/.f32 s (neg.f32 x)))))
48.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
✓54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) x) s)))
54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x) s)))
54.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)))
44.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
36.2%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
35.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
37.0%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
37.8%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s)))))
20.2%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 s s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))))))
37.9%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
38.5%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))
18.4%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
18.4%
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
19.9%
(*.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s))))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s))))
23.8%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
33.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
56.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
✓16.7%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
32.6%
(*.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)))))
11.7%
(*.f32 x (+.f32 (/.f32 #s(literal 2/27 binary32) s) (/.f32 #s(literal 2/9 binary32) x)))
33.1%
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
2.6%
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
✓31.6%
#s(literal 1/2 binary32)
Compiler

Compiled 2 326 to 981 computations (57.8% saved)

regimes158.0ms (1.3%)

Memory
11.4MiB live, 248.3MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 2/27 binary32) s) (/.f32 #s(literal 2/9 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.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) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2/27 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/4 binary32) s)) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 (fma.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s)))
(/.f32 (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) x) x)
(/.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 (/.f32 (*.f32 s s) (*.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s))))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) 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) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32)) s) (/.f32 #s(literal 2/3 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 s s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 (fma.f32 x (*.f32 x (/.f32 (-.f32 #s(literal 4/81 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 2/27 binary32)) (*.f32 x #s(literal 2/27 binary32))) (*.f32 s s))) (-.f32 #s(literal 2/9 binary32) (/.f32 (*.f32 x #s(literal 2/27 binary32)) s)))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 #s(literal -1 binary32) x) (*.f32 s (/.f32 #s(literal 1 binary32) s))) (/.f32 s (neg.f32 x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(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 (exp.f32 #s(literal -2 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(pow.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) #s(literal -1/2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)))
Outputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))
Calls

7 calls:

37.0ms
s
24.0ms
(neg.f32 x)
21.0ms
(/.f32 (neg.f32 x) s)
20.0ms
x
18.0ms
(/.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)

regimes157.0ms (1.3%)

Memory
13.1MiB live, 202.0MiB allocated
Counts
75 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 2/27 binary32) s) (/.f32 #s(literal 2/9 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.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) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2/27 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/4 binary32) s)) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 (fma.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s)))
(/.f32 (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) x) x)
(/.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 (/.f32 (*.f32 s s) (*.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s))))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) 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) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32)) s) (/.f32 #s(literal 2/3 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 s s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 (fma.f32 x (*.f32 x (/.f32 (-.f32 #s(literal 4/81 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 2/27 binary32)) (*.f32 x #s(literal 2/27 binary32))) (*.f32 s s))) (-.f32 #s(literal 2/9 binary32) (/.f32 (*.f32 x #s(literal 2/27 binary32)) s)))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 #s(literal -1 binary32) x) (*.f32 s (/.f32 #s(literal 1 binary32) s))) (/.f32 s (neg.f32 x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(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))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

28.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
26.0ms
(neg.f32 x)
22.0ms
x
22.0ms
s
22.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes155.0ms (1.3%)

Memory
0.2MiB live, 240.6MiB allocated
Counts
70 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 2/27 binary32) s) (/.f32 #s(literal 2/9 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.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) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2/27 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/4 binary32) s)) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 (fma.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s)))
(/.f32 (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) x) x)
(/.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 (/.f32 (*.f32 s s) (*.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s))))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) 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) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32)) s) (/.f32 #s(literal 2/3 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 s s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 (fma.f32 x (*.f32 x (/.f32 (-.f32 #s(literal 4/81 binary32) (/.f32 (*.f32 (*.f32 x #s(literal 2/27 binary32)) (*.f32 x #s(literal 2/27 binary32))) (*.f32 s s))) (-.f32 #s(literal 2/9 binary32) (/.f32 (*.f32 x #s(literal 2/27 binary32)) s)))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 #s(literal -1 binary32) x) (*.f32 s (/.f32 #s(literal 1 binary32) s))) (/.f32 s (neg.f32 x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #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 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

7 calls:

32.0ms
x
27.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
24.0ms
(/.f32 (neg.f32 x) s)
20.0ms
(neg.f32 x)
18.0ms
s
Results
AccuracySegmentsBranch
65.8%2x
55.9%1s
66.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
66.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
66.7%2(exp.f32 (/.f32 (neg.f32 x) s))
66.7%2(/.f32 (neg.f32 x) s)
65.8%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes96.0ms (0.8%)

Memory
-4.5MiB live, 224.7MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 2/27 binary32) s) (/.f32 #s(literal 2/9 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.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) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2/27 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/4 binary32) s)) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 (fma.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s)))
(/.f32 (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) x) x)
(/.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 (/.f32 (*.f32 s s) (*.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s))))) (*.f32 x (-.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
Outputs
#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

6 calls:

17.0ms
(neg.f32 x)
17.0ms
x
16.0ms
(/.f32 (neg.f32 x) s)
15.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
14.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
65.4%2x
65.4%2(neg.f32 x)
65.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.3%2(exp.f32 (/.f32 (neg.f32 x) s))
65.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes105.0ms (0.9%)

Memory
-4.1MiB live, 197.5MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 2/27 binary32) s) (/.f32 #s(literal 2/9 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.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) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2/27 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (*.f32 x #s(literal -1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal -1/4 binary32) s)) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 (fma.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal 2/27 binary32) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s)))
(/.f32 (/.f32 (fma.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal 2/27 binary32) s) #s(literal 2/9 binary32))) (*.f32 s (fma.f32 x #s(literal 2/3 binary32) (*.f32 s #s(literal 2 binary32))))) x) x)
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
Calls

6 calls:

25.0ms
x
23.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
15.0ms
(neg.f32 x)
15.0ms
(/.f32 (neg.f32 x) s)
13.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
64.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
64.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.3%2(exp.f32 (/.f32 (neg.f32 x) s))
64.3%2(/.f32 (neg.f32 x) s)
66.7%3x
66.7%3(neg.f32 x)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes67.0ms (0.6%)

Memory
10.3MiB live, 126.4MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 2/27 binary32) s) (/.f32 #s(literal 2/9 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.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) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2/27 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))
Calls

6 calls:

25.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
9.0ms
x
8.0ms
(neg.f32 x)
8.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
61.7%2x
61.7%2(neg.f32 x)
62.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
62.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
62.7%2(exp.f32 (/.f32 (neg.f32 x) s))
62.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes38.0ms (0.3%)

Memory
-14.0MiB live, 64.2MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 2/27 binary32) s) (/.f32 #s(literal 2/9 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
(/.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)))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
Calls

6 calls:

10.0ms
x
6.0ms
(neg.f32 x)
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
61.2%2x
61.2%2(neg.f32 x)
61.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
61.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
61.6%2(exp.f32 (/.f32 (neg.f32 x) s))
61.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes39.0ms (0.3%)

Memory
23.7MiB live, 92.6MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 2/27 binary32) s) (/.f32 #s(literal 2/9 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
Calls

6 calls:

10.0ms
(neg.f32 x)
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
x
5.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
57.6%2x
57.6%2(neg.f32 x)
59.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
59.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
59.6%2(exp.f32 (/.f32 (neg.f32 x) s))
59.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes34.0ms (0.3%)

Memory
-10.3MiB live, 70.1MiB 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)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) 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

7 calls:

12.0ms
x
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms
s
4.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
44.7%2x
44.7%2(neg.f32 x)
37.6%1s
45.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
45.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
45.4%2(exp.f32 (/.f32 (neg.f32 x) s))
45.4%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes21.0ms (0.2%)

Memory
13.6MiB live, 52.1MiB 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)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 x #s(literal 2/27 binary32) (*.f32 s #s(literal 2/9 binary32))) s)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
Calls

6 calls:

4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
(neg.f32 x)
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
43.5%2x
43.5%2(neg.f32 x)
43.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
43.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
43.7%2(exp.f32 (/.f32 (neg.f32 x) s))
43.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes16.0ms (0.1%)

Memory
3.0MiB live, 42.5MiB 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)
(/.f32 (*.f32 x #s(literal 2/27 binary32)) 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 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 s)) x)
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
Calls

6 calls:

3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
x
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
41.8%2x
41.8%2(neg.f32 x)
42.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
42.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
42.0%2(exp.f32 (/.f32 (neg.f32 x) s))
42.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes6.0ms (0%)

Memory
14.5MiB live, 14.5MiB 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
42.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
42.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
42.0%2(exp.f32 (/.f32 (neg.f32 x) s))
42.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes34.0ms (0.3%)

Memory
-16.0MiB live, 23.8MiB 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:

26.0ms
(/.f32 (neg.f32 x) s)
1.0ms
s
1.0ms
(neg.f32 x)
1.0ms
x
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
31.6%1s
31.6%1x
31.6%1(neg.f32 x)
31.6%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
31.6%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
31.6%1(exp.f32 (/.f32 (neg.f32 x) s))
31.6%1(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9728603959083557
1.6893917322158813
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
2.665976710720295e-28
8.677707809779262e-28
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
70.39566802978516
352.9923095703125
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
1.6893917322158813
70.39566802978516
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
496.30596923828125
666.5000610351563
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
29105.25
166582.515625
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
-1.2019217014312744
-0.33174794912338257
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.6893917322158813
70.39566802978516
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.6893917322158813
70.39566802978516
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.6893917322158813
70.39566802978516
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify51.0ms (0.4%)

Memory
-32.4MiB live, 25.2MiB allocated
Algorithm
1×egg-herbie
Rules
30×*-commutative_binary32
12×+-commutative_binary32
10×sub-neg_binary32
8×neg-sub0_binary32
8×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077212
1102212
2112212
3118212
4120212
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))
(/.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 1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal 5192297/10384593717069655257060992658440192 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 100 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 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 50000 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 -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 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)
Outputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal 5192297/10384593717069655257060992658440192 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 100 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 100 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s))))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 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 500 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 50000 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 50000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s s) #s(literal 2 binary32)) (*.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 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 s (/.f32 #s(literal -1 binary32) x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)

soundness2.2s (18.5%)

Memory
-3.1MiB live, 1 629.7MiB allocated
Rules
40 054×accelerator-lowering-fma.f32
40 054×accelerator-lowering-fma.f64
16 736×accelerator-lowering-fma.f32
16 736×accelerator-lowering-fma.f64
9 432×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
14327
225027
3209827
0845626
06574554
119354236
261664143
083403929
051299
1302277
22398276
08481251
044202
1268200
22647192
08878178
04534541
112214402
236954185
084593968
0140758
1378748
21147742
33893722
08438682
032174
1208174
21790174
08309164
08206713
125206435
279606284
082415905
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
1×iter limit
1×node limit
Compiler

Compiled 469 to 273 computations (41.8% saved)

preprocess54.0ms (0.5%)

Memory
23.8MiB live, 180.3MiB allocated
Compiler

Compiled 450 to 164 computations (63.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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