Logistic function

Time bar (total: 13.2s)

analyze37.0ms (0.3%)

Memory
-1.9MiB live, 76.5MiB 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)

sample1.2s (8.7%)

Memory
30.4MiB live, 1 972.9MiB allocated
Samples
900.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 663.0ms
const: 197.0ms (29.7% of total)
ival-div: 180.0ms (27.2% of total)
ival-exp: 89.0ms (13.4% of total)
ival-add: 62.0ms (9.4% of total)
ival-neg: 62.0ms (9.4% of total)
ival-<=: 48.0ms (7.2% of total)
ival-and: 11.0ms (1.7% of total)
exact: 11.0ms (1.7% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess34.0ms (0.3%)

Memory
-9.0MiB live, 72.8MiB allocated
Algorithm
2×egg-herbie
Rules
204×exp-prod
120×times-frac
116×exp-sum
98×associate-/r*
66×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
15650
212050
327950
456350
573750
680650
785150
890950
991450
1091550
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 #s(literal 0 binary32) (/.f32 x s)))))
Call 2
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/ 1 (+ 1 (exp (/ (neg (neg x)) s))))
(/ 1 (+ 1 (exp (/ (neg x) (neg s)))))
(neg (/ 1 (+ 1 (exp (/ (neg (neg x)) s)))))
(neg (/ 1 (+ 1 (exp (/ (neg x) (neg s))))))
(/ 1 (+ 1 (exp (/ (neg s) x))))
Outputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/ 1 (+ 1 (exp (/ x (neg s)))))
(/ 1 (+ 1 (exp (/ (neg (neg x)) s))))
(/ 1 (+ 1 (exp (/ x s))))
(/ 1 (+ 1 (exp (/ (neg x) (neg s)))))
(/ 1 (+ 1 (exp (/ x s))))
(neg (/ 1 (+ 1 (exp (/ (neg (neg x)) s)))))
(/ 1 (- -1 (exp (/ x s))))
(neg (/ 1 (+ 1 (exp (/ (neg x) (neg s))))))
(/ 1 (- -1 (exp (/ x s))))
(/ 1 (+ 1 (exp (/ (neg s) x))))
(/ 1 (+ 1 (exp (/ s (neg x)))))

explain286.0ms (2.2%)

Memory
-14.3MiB live, 223.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
11(1.7710928885260533e-20 3.4465367658985836e-23)1(1.795717047281542e-11 3.5678938644680136e-13)(exp.f32 (/.f32 (neg.f32 x) s))
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
00-0-(/.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))sensitivity12
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-12253
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
91.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-div: 68.0ms (87.2% of total)
ival-exp: 4.0ms (5.1% of total)
ival-neg: 3.0ms (3.8% of total)
ival-add: 2.0ms (2.6% 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
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f32 x)
✓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 #s(literal 0 binary32) (/.f32 x s)))))
1
#s(literal 1 binary32)
(+ 1 (exp (/ (neg x) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(exp (/ (neg x) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/ (neg x) s)
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(neg x)
(neg.f32 x)
x
s

localize27.0ms (0.2%)

Memory
-12.9MiB live, 66.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓accuracy99.9%
(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: 9.0ms
ival-div: 4.0ms (46.5% of total)
ival-exp: 2.0ms (23.3% of total)
ival-add: 1.0ms (11.6% of total)
ival-neg: 1.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
4 → 84
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)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

21 calls:

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

rewrite352.0ms (2.7%)

Memory
1.8MiB live, 709.7MiB 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
0823
14323
225023
3209823
0845622
Stop Event
1×iter limit
1×node limit
Counts
4 → 527
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(+ 1 (exp (/ (neg x) s)))
(exp (/ (neg x) s))
(neg x)
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal -1/2 binary32)) (*.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal -1/2 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (*.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (exp.f32 (/.f32 x s)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (exp.f32 (/.f32 x s)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(+.f32 (*.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (*.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
(fma.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (exp.f32 (/.f32 x s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (exp.f32 (/.f32 x s))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)) #s(literal 6 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)) #s(literal 4 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))))
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(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
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(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
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(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -3 binary32) (/.f32 s x))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))) (neg.f32 x)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 x)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(pow.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)) #s(literal 1/2 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal -1 binary32)) x)
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (-.f32 #s(literal 0 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) x))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (exp.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)) #s(literal 1/2 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 0 binary32) x)) (exp.f32 (/.f32 x s)))
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 0 binary32) (*.f32 x x))) (exp.f32 (/.f32 x s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) #s(literal 1 binary32))
(*.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(*.f32 (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) s)) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(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 (-.f32 #s(literal 0 binary32) (*.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 (-.f32 #s(literal 0 binary32) (*.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 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.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 (-.f32 #s(literal 0 binary32) (*.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 (-.f32 #s(literal 0 binary32) (*.f32 x x)))))
(/.f32 (*.f32 x (*.f32 x x)) (-.f32 #s(literal 0 binary32) (*.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 (-.f32 #s(literal 0 binary32) (*.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 (-.f32 #s(literal 0 binary32) (*.f32 x x)) x)
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)))) x)
(/.f32 (+.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal 0 binary32)) (+.f32 (*.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 (-.f32 #s(literal 0 binary32) (*.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 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x))
(log.f32 (exp.f32 (neg.f32 x)))

simplify1.1s (8%)

Memory
-11.2MiB live, 1 718.0MiB 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
0140662
1378652
21147646
33893626
08438586
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 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)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32))) (/.f32 (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) s))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 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))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 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)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 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))))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x 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)))))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.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))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp (* -1 (/ x s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x 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)))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)

eval59.0ms (0.4%)

Memory
-8.8MiB live, 107.6MiB allocated
Compiler

Compiled 18 080 to 1 861 computations (89.7% saved)

prune86.0ms (0.6%)

Memory
25.6MiB live, 150.7MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New60011611
Fresh000
Picked011
Done000
Total60012612
Accuracy
100.0%
Counts
612 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
▶38.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
▶51.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
49.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
51.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)))))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶21.7%
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32))))
29.3%
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
▶36.0%
#s(literal 1/2 binary32)
Compiler

Compiled 339 to 246 computations (27.4% saved)

simplify289.0ms (2.2%)

Memory
-27.2MiB live, 287.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)
✓cost-diff0
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓cost-diff128
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓cost-diff0
(-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)))
✓cost-diff0
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 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
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
✓cost-diff32
(/.f32 #s(literal -1 binary32) (/.f32 s x))
Rules
5 128×accelerator-lowering-fma.f32
5 128×accelerator-lowering-fma.f64
2 372×*-lowering-*.f32
2 372×*-lowering-*.f64
1 954×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037289
177285
2151257
3325257
4573253
5737253
61072253
72569253
85309253
08146237
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (E) (/ -1 (/ s x)))))
1
(+ 1 (pow (E) (/ -1 (/ s x))))
(pow (E) (/ -1 (/ s x)))
(E)
(/ -1 (/ s x))
-1
(/ s x)
s
x
1/2
(/ 1 (- 2 (/ x s)))
1
(- 2 (/ x s))
2
(/ x s)
x
s
(+ 1/2 (* (/ x s) (- (/ (* x (* x -1/48)) (* s s)) -1/4)))
1/2
(* (/ x s) (- (/ (* x (* x -1/48)) (* s s)) -1/4))
(/ x s)
x
s
(- (/ (* x (* x -1/48)) (* s s)) -1/4)
(/ (* x (* x -1/48)) (* s s))
(* x (* x -1/48))
(* x -1/48)
-1/48
(* s s)
-1/4
(/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s)))
1
(+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s))
2
(/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s)
(- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x)
(/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s)
(+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x)))
(/ (* x (* x (* x -1/6))) s)
(* x (* x (* x -1/6)))
x
(* x (* x -1/6))
(* x -1/6)
-1/6
s
(* 1/2 (* x x))
1/2
(* x x)
Outputs
(/ 1 (+ 1 (pow (E) (/ -1 (/ s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
1
#s(literal 1 binary32)
(+ 1 (pow (E) (/ -1 (/ s x))))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s))))
(pow (E) (/ -1 (/ s x)))
(pow.f32 (E.f32) (neg.f32 (/.f32 x s)))
(E)
(E.f32)
(/ -1 (/ s x))
(neg.f32 (/.f32 x s))
-1
#s(literal -1 binary32)
(/ s x)
(/.f32 s x)
s
x
1/2
#s(literal 1/2 binary32)
(/ 1 (- 2 (/ x s)))
(/.f32 #s(literal -1 binary32) (+.f32 (/.f32 x s) #s(literal -2 binary32)))
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
(+ 1/2 (* (/ x s) (- (/ (* x (* x -1/48)) (* s s)) -1/4)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) s)) #s(literal 1/4 binary32))) s))
1/2
#s(literal 1/2 binary32)
(* (/ x s) (- (/ (* x (* x -1/48)) (* s s)) -1/4))
(/.f32 (*.f32 x (+.f32 (*.f32 x (/.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) s)) #s(literal 1/4 binary32))) s)
(/ x s)
(/.f32 x s)
x
s
(- (/ (* x (* x -1/48)) (* s s)) -1/4)
(+.f32 (*.f32 x (/.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) s)) #s(literal 1/4 binary32))
(/ (* x (* x -1/48)) (* s s))
(*.f32 x (/.f32 (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) s))
(* x (* x -1/48))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* x -1/48)
(*.f32 x #s(literal -1/48 binary32))
-1/48
#s(literal -1/48 binary32)
(* s s)
(*.f32 s s)
-1/4
#s(literal -1/4 binary32)
(/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal 1/6 binary32)) #s(literal -1/2 binary32)) s)))) s)))
1
#s(literal 1 binary32)
(+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s))
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal 1/6 binary32)) #s(literal -1/2 binary32)) s)))) s))
2
#s(literal 2 binary32)
(/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s)
(*.f32 x (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal 1/6 binary32)) #s(literal -1/2 binary32)) s))) s))
(- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x)
(*.f32 x (-.f32 #s(literal -1 binary32) (*.f32 x (/.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal 1/6 binary32)) #s(literal -1/2 binary32)) s))))
(/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s)
(/.f32 (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) (/.f32 s x))
(+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x)))
(*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))))
(/ (* x (* x (* x -1/6))) s)
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x s))))
(* x (* x (* x -1/6)))
(*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))
x
(* x (* x -1/6))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x -1/6)
(*.f32 x #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
s
(* 1/2 (* x x))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(* x x)
(*.f32 x x)

localize157.0ms (1.2%)

Memory
13.9MiB live, 244.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓accuracy94.6%
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
✓accuracy91.8%
(/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
✓accuracy86.6%
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓accuracy99.8%
(*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)))
✓accuracy99.6%
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
✓accuracy99.0%
(*.f32 x #s(literal -1/48 binary32))
✓accuracy78.7%
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy96.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
✓accuracy99.6%
(E.f32)
✓accuracy99.4%
(/.f32 #s(literal -1 binary32) (/.f32 s x))
Samples
90.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 291 to 39 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-div: 36.0ms (48.6% of total)
ival-mult: 13.0ms (17.6% of total)
const: 8.0ms (10.8% of total)
ival-pow: 6.0ms (8.1% of total)
ival-add: 5.0ms (6.8% of total)
ival-sub: 4.0ms (5.4% of total)
ival-e: 2.0ms (2.7% of total)
exact: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (0.4%)

Memory
15.2MiB live, 102.8MiB allocated
Counts
20 → 432
Calls
Call 1
Inputs
#<alt (/ -1 (/ s x))>
#<alt (/ 1 (+ 1 (pow (E) (/ -1 (/ s x)))))>
#<alt (+ 1 (pow (E) (/ -1 (/ s x))))>
#<alt (pow (E) (/ -1 (/ s x)))>
#<alt (/ 1 (- 2 (/ x s)))>
#<alt (- 2 (/ x s))>
#<alt (/ x s)>
#<alt (+ 1/2 (* (/ x s) (- (/ (* x (* x -1/48)) (* s s)) -1/4)))>
#<alt (* (/ x s) (- (/ (* x (* x -1/48)) (* s s)) -1/4))>
#<alt (- (/ (* x (* x -1/48)) (* s s)) -1/4)>
#<alt (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x)))>
#<alt (/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s)))>
#<alt (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s))>
#<alt (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s)>
#<alt (E)>
#<alt (/ (* x (* x -1/48)) (* s s))>
#<alt (* x -1/48)>
#<alt (* x (* x -1/48))>
#<alt (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s)>
#<alt (/ (* x (* x (* x -1/6))) s)>
Outputs
#<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 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) 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 (+ (* -1/48 (/ (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 (* 1/4 (/ x s))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))>
#<alt (* 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 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 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) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<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)) (* 1/4 (* (pow s 2) x))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))>
#<alt (* 1/4 (/ x s))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow s 2))) (* 1/4 x)) s)>
#<alt (* 1/4 (/ x s))>
#<alt (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) 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 (* 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 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 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 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 (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<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))>
Calls

108 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
(* x -1/48)
3.0ms
x
@-inf
(+ 1/2 (* (/ x s) (- (/ (* x (* x -1/48)) (* s s)) -1/4)))
3.0ms
s
@inf
(+ 1/2 (* (/ x s) (- (/ (* x (* x -1/48)) (* s s)) -1/4)))
2.0ms
s
@inf
(/ 1 (+ 1 (pow (E) (/ -1 (/ s x)))))
1.0ms
x
@inf
(+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x)))

rewrite412.0ms (3.1%)

Memory
-21.1MiB live, 689.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 190×*-lowering-*.f32
5 190×*-lowering-*.f64
3 392×/-lowering-/.f32
3 392×/-lowering-/.f64
3 282×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037218
1241199
22080199
08303190
Stop Event
1×iter limit
1×node limit
Counts
20 → 711
Calls
Call 1
Inputs
(/ -1 (/ s x))
(/ 1 (+ 1 (pow (E) (/ -1 (/ s x)))))
(+ 1 (pow (E) (/ -1 (/ s x))))
(pow (E) (/ -1 (/ s x)))
(/ 1 (- 2 (/ x s)))
(- 2 (/ x s))
(/ x s)
(+ 1/2 (* (/ x s) (- (/ (* x (* x -1/48)) (* s s)) -1/4)))
(* (/ x s) (- (/ (* x (* x -1/48)) (* s s)) -1/4))
(- (/ (* x (* x -1/48)) (* s s)) -1/4)
(+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x)))
(/ 1 (+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s)))
(+ 2 (/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s))
(/ (- (/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s) x) s)
(E)
(/ (* x (* x -1/48)) (* s s))
(* x -1/48)
(* x (* x -1/48))
(/ (+ (/ (* x (* x (* x -1/6))) s) (* 1/2 (* x x))) s)
(/ (* x (* x (* x -1/6))) s)
Outputs
(neg.f32 (/.f32 x s))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (/.f32 s x))) #s(literal -1 binary32)))
(+.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(+.f32 (log.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))) (log.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(+.f32 (log.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))) (log.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(pow.f32 (-.f32 #s(literal 0 binary32) (/.f32 s x)) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 0 binary32))
(fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 0 binary32))
(fma.f32 x (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 0 binary32))
(fma.f32 x (log.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) s))) #s(literal 0 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 0 binary32))
(fma.f32 #s(literal 2 binary32) (log.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal 0 binary32))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (/.f32 x s) (log.f32 (/.f32 #s(literal 1 binary32) (E.f32))) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(/.f32 #s(literal -1 binary32) (/.f32 s x))
(/.f32 x (neg.f32 s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 s x)))
(/.f32 (neg.f32 x) s)
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) x))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 x)) (neg.f32 s))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 x (/.f32 #s(literal -1 binary32) s))
(*.f32 x (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(*.f32 x (log.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) s))))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (log.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 (/.f32 x s) (log.f32 (/.f32 #s(literal 1 binary32) (E.f32))))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (log.f32 (*.f32 (E.f32) (E.f32))))
(*.f32 (/.f32 #s(literal -1 binary32) s) x)
(*.f32 (/.f32 #s(literal -1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (+.f32 (/.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) x)
(log.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))) #s(literal -1 binary32))
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(*.f32 (pow.f32 (/.f32 s (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) #s(literal -1/216 binary32)) (*.f32 s (*.f32 s s))) (*.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) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (/.f32 (/.f32 s x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)))))))
(*.f32 (pow.f32 (/.f32 s (-.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (/.f32 (/.f32 s x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
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(pow.f32 (/.f32 (/.f32 s x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (/.f32 s x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 s x) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) s)
(/.f32 (neg.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (neg.f32 s))
(/.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x))))) (neg.f32 (neg.f32 s)))
(*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s))
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(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s))
(*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(*.f32 (neg.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) s) x)

simplify665.0ms (5%)

Memory
-194.2MiB live, 804.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 522×accelerator-lowering-fma.f32
8 522×accelerator-lowering-fma.f64
5 704×*-lowering-*.f32
5 704×*-lowering-*.f64
1 810×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06154882
118824419
257284317
082654150
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
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(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 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 s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* -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 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 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 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) 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 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -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))
Outputs
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(* -1 (/ x s))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/4 binary32) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) s))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s))) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
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(/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)
(* 1/2 (/ (pow x 2) s))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(* -1/6 (/ (pow x 3) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))

eval117.0ms (0.9%)

Memory
20.6MiB live, 321.0MiB allocated
Compiler

Compiled 29 542 to 3 452 computations (88.3% saved)

prune213.0ms (1.6%)

Memory
23.2MiB live, 468.7MiB allocated
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New1 163261 189
Fresh426
Picked325
Done011
Total1 170311 201
Accuracy
100.0%
Counts
1 201 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.2%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
16.8%
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
30.6%
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
▶6.6%
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
28.2%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s) (/.f32 s (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x))) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s) #s(literal 2 binary32))))
20.4%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))))))
29.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
67.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
38.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
52.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)) s)))
✓38.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
38.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
38.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
20.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 s (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 x x)) (*.f32 s (+.f32 x (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s))))))
▶51.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
51.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)))
▶51.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
26.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (*.f32 (/.f32 s (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) #s(literal 1 binary32))) (*.f32 (/.f32 s (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) (/.f32 s x)))))
49.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
30.1%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
30.7%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x)) x)))))
31.6%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
▶15.3%
(-.f32 #s(literal 0 binary32) (/.f32 s x))
21.7%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))) s))
29.3%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
26.4%
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal -1/4 binary32))))
3.1%
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))
27.9%
(*.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
✓36.0%
#s(literal 1/2 binary32)
Compiler

Compiled 1 467 to 790 computations (46.1% saved)

simplify443.0ms (3.3%)

Memory
-16.3MiB live, 1 018.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓cost-diff64
(*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))
✓cost-diff128
(+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓cost-diff0
(-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x)
✓cost-diff0
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)
✓cost-diff0
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
✓cost-diff0
(/.f32 (*.f32 x (*.f32 x x)) s)
✓cost-diff0
(/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)
✓cost-diff0
(*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
✓cost-diff0
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
✓cost-diff0
(/.f32 s x)
✓cost-diff0
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓cost-diff0
(E.f32)
✓cost-diff0
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
Rules
18 966×accelerator-lowering-fma.f32
18 966×accelerator-lowering-fma.f64
3 838×*-lowering-*.f32
3 838×*-lowering-*.f64
2 290×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039339
188301
2203299
3534291
41339291
52196291
63809291
75182291
87911291
08072277
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
1
(+ 1 (pow (E) (/ (neg x) s)))
(pow (E) (/ (neg x) s))
(E)
(/ (neg x) s)
(neg x)
x
s
(- 0 (/ s x))
0
(/ s x)
s
x
(/ (* -1/48 (/ (/ (* x (* x x)) s) s)) s)
(* -1/48 (/ (/ (* x (* x x)) s) s))
-1/48
(/ (/ (* x (* x x)) s) s)
(/ (* x (* x x)) s)
(* x (* x x))
x
(* x x)
s
(/ 1 (+ 2 (/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s)))
1
(+ 2 (/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s))
2
(/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s)
(- (/ (* -1/6 (/ (* x (* x x)) s)) s) x)
(/ (* -1/6 (/ (* x (* x x)) s)) s)
(* -1/6 (/ (* x (* x x)) s))
-1/6
(/ (* x (* x x)) s)
(* x (* x x))
x
(* x x)
s
(/ 1 (+ 2 (/ (- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x) s)))
1
(+ 2 (/ (- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x) s))
2
(/ (- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x) s)
(- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x)
(/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s)
(+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x)))
(* (* x x) (* (* x -1/6) (/ 1 s)))
(* x x)
x
(* (* x -1/6) (/ 1 s))
(* x -1/6)
-1/6
(/ 1 s)
s
(* 1/2 (* x x))
1/2
Outputs
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))
1
#s(literal 1 binary32)
(+ 1 (pow (E) (/ (neg x) s)))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))
(pow (E) (/ (neg x) s))
(pow.f32 (E.f32) (/.f32 x (neg.f32 s)))
(E)
(E.f32)
(/ (neg x) s)
(/.f32 x (neg.f32 s))
(neg x)
(neg.f32 x)
x
s
(- 0 (/ s x))
(-.f32 #s(literal 0 binary32) (/.f32 s x))
0
#s(literal 0 binary32)
(/ s x)
(/.f32 s x)
s
x
(/ (* -1/48 (/ (/ (* x (* x x)) s) s)) s)
(/.f32 (*.f32 x (/.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) s)) s)) s)
(* -1/48 (/ (/ (* x (* x x)) s) s))
(*.f32 x (/.f32 (*.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) s)) s))
-1/48
#s(literal -1/48 binary32)
(/ (/ (* x (* x x)) s) s)
(*.f32 x (*.f32 x (/.f32 (/.f32 x s) s)))
(/ (* x (* x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
s
(/ 1 (+ 2 (/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 x s) s)))))))
1
#s(literal 1 binary32)
(+ 2 (/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 x s) s))))))
2
#s(literal 2 binary32)
(/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s)
(*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 x s) s)))))
(- (/ (* -1/6 (/ (* x (* x x)) s)) s) x)
(*.f32 x (+.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (/.f32 x s) s)))))
(/ (* -1/6 (/ (* x (* x x)) s)) s)
(*.f32 (*.f32 x (*.f32 x (/.f32 (/.f32 x s) s))) #s(literal -1/6 binary32))
(* -1/6 (/ (* x (* x x)) s))
(*.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
-1/6
#s(literal -1/6 binary32)
(/ (* x (* x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
s
(/ 1 (+ 2 (/ (- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x) s)))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -2 binary32) (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))) s)))
1
#s(literal 1 binary32)
(+ 2 (/ (- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x) s))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))) s))
2
#s(literal 2 binary32)
(/ (- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x) s)
(/.f32 (*.f32 x (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))) s)
(- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x)
(*.f32 x (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))))
(/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s)
(/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s)
(+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x)))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))
(* (* x x) (* (* x -1/6) (/ 1 s)))
(*.f32 x (*.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(* x x)
(*.f32 x x)
x
(* (* x -1/6) (/ 1 s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(* x -1/6)
(*.f32 x #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
s
(* 1/2 (* x x))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)

localize178.0ms (1.3%)

Memory
32.8MiB live, 266.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓accuracy98.8%
(*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))
✓accuracy91.8%
(/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
✓accuracy86.6%
(+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓accuracy99.4%
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
✓accuracy94.9%
(/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s)
✓accuracy94.7%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy99.7%
(*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
✓accuracy95.7%
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
✓accuracy94.8%
(/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)
✓accuracy94.7%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy100.0%
(/.f32 s x)
✓accuracy100.0%
(-.f32 #s(literal 0 binary32) (/.f32 s x))
✓accuracy100.0%
(E.f32)
✓accuracy100.0%
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
Samples
83.0ms256×0valid
Compiler

Compiled 372 to 41 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-div: 23.0ms (35.7% of total)
ival-mult: 11.0ms (17.1% of total)
const: 9.0ms (14% of total)
ival-pow: 8.0ms (12.4% of total)
ival-add: 5.0ms (7.8% of total)
ival-sub: 3.0ms (4.7% of total)
ival-e: 2.0ms (3.1% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
3.0MiB live, 78.6MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (pow (E) (/ (neg x) s))))>
#<alt (+ 1 (pow (E) (/ (neg x) s)))>
#<alt (pow (E) (/ (neg x) s))>
#<alt (E)>
#<alt (- 0 (/ s x))>
#<alt (/ s x)>
#<alt (/ (* -1/48 (/ (/ (* x (* x x)) s) s)) s)>
#<alt (* -1/48 (/ (/ (* x (* x x)) s) s))>
#<alt (/ (/ (* x (* x x)) s) s)>
#<alt (/ (* x (* x x)) s)>
#<alt (/ 1 (+ 2 (/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s)))>
#<alt (+ 2 (/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s))>
#<alt (/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s)>
#<alt (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x)>
#<alt (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x)))>
#<alt (* (* x -1/6) (/ 1 s))>
#<alt (/ 1 (+ 2 (/ (- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x) s)))>
#<alt (+ 2 (/ (- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x) s))>
#<alt (/ (* -1/6 (/ (* x (* x x)) s)) s)>
#<alt (* -1/6 (/ (* x (* x x)) s))>
#<alt (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s)>
#<alt (* (* x x) (* (* x -1/6) (/ 1 s)))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) 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 (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<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 (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 3) (pow s 2)))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<alt (/ (pow x 3) (pow s 2))>
#<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)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* x (+ (* 5/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -6 (pow s 3)) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (* -36 (/ (pow s 5) (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ (* -216 (/ (pow s 7) (pow x 4))) (* -6 (pow s 3))) (+ (* -36 (/ (pow s 5) (pow x 2))) (* 72 (/ (pow s 6) (pow x 3))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* -36 (/ (pow s 5) (pow x 2))) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* -216 (/ (pow s 7) x)) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (* 36 (/ (pow s 5) (pow x 2)))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* 36 (/ (pow s 2) (pow x 5))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 2) (+ (* -72 (/ s (pow x 6))) (* 36 (/ 1 (pow x 5))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 2) (+ (* s (- (* -216 (/ s (pow x 7))) (* 72 (/ 1 (pow x 6))))) (* 36 (/ 1 (pow x 5))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/16 (pow x 3)) (* -1/24 (pow x 3))) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/24 (/ (pow x 3) s)) (* 1/16 (/ (pow x 3) s))) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (pow x 3)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (pow x 3)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (- (* 2 s) x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (- (* 2 s) x))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (/ 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 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* -1/6 (/ (pow x 3) (pow s 2)))) s)>
#<alt (/ (+ (* -1 x) (* -1/6 (/ (pow x 3) (pow s 2)))) s)>
#<alt (/ (+ (* -1 x) (* -1/6 (/ (pow x 3) (pow s 2)))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 2))) 1))>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 2))) 1))>
#<alt (* x (- (* -1/6 (/ (pow x 2) (pow s 2))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* 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 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 2))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 2))>
#<alt (/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt (* -1 x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<alt (- (* -1/6 (/ (pow x 3) (pow s 2))) x)>
#<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 (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1/6 (/ x s))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 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 (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<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 (/ (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))>
Calls

126 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(* -1/48 (/ (/ (* x (* x x)) s) s))
3.0ms
s
@-inf
(+ 1 (pow (E) (/ (neg x) s)))
2.0ms
s
@0
(/ 1 (+ 2 (/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s)))
1.0ms
x
@0
(/ (* -1/48 (/ (/ (* x (* x x)) s) s)) s)
1.0ms
s
@0
(/ (* -1/48 (/ (/ (* x (* x x)) s) s)) s)

rewrite449.0ms (3.4%)

Memory
-34.9MiB live, 697.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 076×*-lowering-*.f32
5 076×*-lowering-*.f64
3 536×/-lowering-/.f32
3 536×/-lowering-/.f64
3 468×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039228
1258209
22305199
08444195
Stop Event
1×iter limit
1×node limit
Counts
22 → 775
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
(+ 1 (pow (E) (/ (neg x) s)))
(pow (E) (/ (neg x) s))
(E)
(- 0 (/ s x))
(/ s x)
(/ (* -1/48 (/ (/ (* x (* x x)) s) s)) s)
(* -1/48 (/ (/ (* x (* x x)) s) s))
(/ (/ (* x (* x x)) s) s)
(/ (* x (* x x)) s)
(/ 1 (+ 2 (/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s)))
(+ 2 (/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s))
(/ (- (/ (* -1/6 (/ (* x (* x x)) s)) s) x) s)
(- (/ (* -1/6 (/ (* x (* x x)) s)) s) x)
(+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x)))
(* (* x -1/6) (/ 1 s))
(/ 1 (+ 2 (/ (- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x) s)))
(+ 2 (/ (- (/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s) x) s))
(/ (* -1/6 (/ (* x (* x x)) s)) s)
(* -1/6 (/ (* x (* x x)) s))
(/ (+ (* (* x x) (* (* x -1/6) (/ 1 s))) (* 1/2 (* x x))) s)
(* (* x x) (* (* x -1/6) (/ 1 s)))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (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 (neg.f32 (neg.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))
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(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 (*.f32 x x) (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 x x) (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (neg.f32 s)))
(/.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (neg.f32 s))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) s)) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))))))
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (*.f32 (*.f32 x x) (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) s)) (*.f32 (*.f32 x x) (-.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))))
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(*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) x)
(*.f32 (/.f32 (*.f32 x x) s) (*.f32 x #s(literal -1/6 binary32)))
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simplify362.0ms (2.7%)

Memory
18.5MiB live, 568.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 584×accelerator-lowering-fma.f32
7 584×accelerator-lowering-fma.f64
4 492×*-lowering-*.f32
4 492×*-lowering-*.f64
1 964×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05905307
118344913
258234722
081334570
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
1/2
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1/2
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1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/16 (pow x 3)) (* -1/24 (pow x 3))) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/24 (/ (pow x 3) s)) (* 1/16 (/ (pow x 3) s))) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))
(+ 2 (* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 3)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 3)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))
(* -1 (* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 2 (pow x 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (- (* 2 s) x))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* (pow s 2) (- (* 2 s) x))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))
(+ 2 (+ (* -1 (/ x s)) (* -1/6 (/ (pow x 3) (pow s 3)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s)))
(+ 2 (* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s)))
(* -1 (/ x s))
(* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))
(* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))
(* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))
(/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))
(/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 3))
(* -1 (/ x s))
(/ (+ (* -1 x) (* -1/6 (/ (pow x 3) (pow s 2)))) s)
(/ (+ (* -1 x) (* -1/6 (/ (pow x 3) (pow s 2)))) s)
(/ (+ (* -1 x) (* -1/6 (/ (pow x 3) (pow s 2)))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s))
(* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s))
(* -1 (/ (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) s))
(* -1 x)
(* x (- (* -1/6 (/ (pow x 2) (pow s 2))) 1))
(* x (- (* -1/6 (/ (pow x 2) (pow s 2))) 1))
(* x (- (* -1/6 (/ (pow x 2) (pow s 2))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ (* 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 (pow x 2)))))
(* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 2))
(/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 2))
(/ (+ (* -1 (* (pow s 2) x)) (* -1/6 (pow x 3))) (pow s 2))
(* -1 x)
(- (* -1/6 (/ (pow x 3) (pow s 2))) x)
(- (* -1/6 (/ (pow x 3) (pow s 2))) x)
(- (* -1/6 (/ (pow x 3) (pow s 2))) x)
(* -1 x)
(- (* -1/6 (/ (pow x 3) (pow s 2))) x)
(- (* -1/6 (/ (pow x 3) (pow s 2))) x)
(- (* -1/6 (/ (pow x 3) (pow s 2))) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
(* -1/6 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
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)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -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 (/ (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))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1/4 binary32) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) 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 (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) x) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s))
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(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s (-.f32 (*.f32 s #s(literal 2 binary32)) x))))) (*.f32 s (*.f32 s s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s))))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) x) s) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) s) (/.f32 #s(literal 1/2 binary32) s)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) #s(literal -1 binary32)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) #s(literal -1 binary32)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) #s(literal -1 binary32)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)

eval140.0ms (1.1%)

Memory
12.9MiB live, 290.2MiB allocated
Compiler

Compiled 31 503 to 3 963 computations (87.4% saved)

prune153.0ms (1.2%)

Memory
14.0MiB live, 326.8MiB allocated
Pruning

36 alts after pruning (30 fresh and 6 done)

PrunedKeptTotal
New1 314111 325
Fresh41923
Picked235
Done033
Total1 320361 356
Accuracy
100.0%
Counts
1 356 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶14.2%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
16.8%
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
30.6%
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
✓6.6%
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
16.0%
(/.f32 (neg.f32 (/.f32 (/.f32 s x) (/.f32 x s))) (/.f32 s x))
▶15.3%
(/.f32 (neg.f32 s) x)
27.4%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s)) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) #s(literal 2 binary32))))
20.4%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))))))
30.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
29.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
▶67.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
38.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
✓38.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
38.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
38.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
52.2%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) x) s) #s(literal 2 binary32)))
6.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))) (*.f32 x (+.f32 x (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))))))) s)))
43.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
20.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 s (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 x x)) (*.f32 s (+.f32 x (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s))))))
✓51.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
47.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) #s(literal -1/6 binary32)) x) s)))
51.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) x) s)))
49.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
30.1%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
30.7%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x)) x)))))
31.6%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
16.7%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
▶21.7%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))) s))
29.3%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
26.4%
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal -1/4 binary32))))
▶3.1%
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))
27.9%
(*.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
15.3%
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
✓36.0%
#s(literal 1/2 binary32)
Compiler

Compiled 1 579 to 848 computations (46.3% saved)

simplify273.0ms (2.1%)

Memory
-17.2MiB live, 345.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(*.f32 x (*.f32 x x))
✓cost-diff384
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))
✓cost-diff0
(+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))
✓cost-diff0
(*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)))
✓cost-diff0
(/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))) s)
✓cost-diff0
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))) s))
✓cost-diff0
(*.f32 (*.f32 s s) #s(literal -2 binary32))
✓cost-diff0
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x)
✓cost-diff0
(-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s)
✓cost-diff0
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
✓cost-diff-32
(/.f32 (neg.f32 s) x)
✓cost-diff0
(neg.f32 s)
✓cost-diff0
(expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))
✓cost-diff0
(/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
Rules
3 622×*-lowering-*.f32
3 622×*-lowering-*.f64
3 416×accelerator-lowering-fma.f32
3 416×accelerator-lowering-fma.f64
3 114×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042298
1116298
2291291
3743291
41406291
52398285
63292285
75805285
08262260
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1))))
1
(/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1)))
(/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1))
(- (exp (/ -1 (/ s x))) 1)
(/ -1 (/ s x))
-1
(/ s x)
s
x
(- (exp (/ -2 (/ s x))) 1)
(/ -2 (/ s x))
-2
(/ (neg s) x)
(neg s)
s
x
(/ (- (/ (* (* s s) -2) x) s) x)
(- (/ (* (* s s) -2) x) s)
(/ (* (* s s) -2) x)
(* (* s s) -2)
(* s s)
s
-2
x
(+ 1/2 (/ (* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4)) s))
1/2
(/ (* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4)) s)
(* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4))
x
(+ (/ (* x (* x -1/48)) (* s s)) 1/4)
(/ (* x (* x -1/48)) (* s s))
(* x (* x -1/48))
(* x -1/48)
-1/48
(* s s)
s
1/4
(* (* x (* x x)) (+ (/ (/ 1/4 s) (* x x)) (+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s))))))
(* x (* x x))
x
(* x x)
(+ (/ (/ 1/4 s) (* x x)) (+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s)))))
(/ (/ 1/4 s) (* x x))
(/ 1/4 s)
1/4
s
(+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s))))
(/ 1/2 (* x (* x x)))
1/2
(/ -1/48 (* s (* s s)))
-1/48
(* s (* s s))
(* s s)
Outputs
(/ 1 (/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1))))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
1
#s(literal 1 binary32)
(/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1)))
(/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
(- (exp (/ -1 (/ s x))) 1)
(expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(/ -1 (/ s x))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
-1
#s(literal -1 binary32)
(/ s x)
(/.f32 s x)
s
x
(- (exp (/ -2 (/ s x))) 1)
(expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))
(/ -2 (/ s x))
(/.f32 #s(literal -2 binary32) (/.f32 s x))
-2
#s(literal -2 binary32)
(/ (neg s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(neg s)
(neg.f32 s)
s
x
(/ (- (/ (* (* s s) -2) x) s) x)
(/.f32 (*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 s #s(literal -2 binary32)) x))) x)
(- (/ (* (* s s) -2) x) s)
(*.f32 s (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 s #s(literal -2 binary32)) x)))
(/ (* (* s s) -2) x)
(/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x)
(* (* s s) -2)
(*.f32 #s(literal -2 binary32) (*.f32 s s))
(* s s)
(*.f32 s s)
s
-2
#s(literal -2 binary32)
x
(+ 1/2 (/ (* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4)) s))
(+.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 x s)))
1/2
#s(literal 1/2 binary32)
(/ (* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4)) s)
(*.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 x s))
(* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4))
(*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)))
x
(+ (/ (* x (* x -1/48)) (* s s)) 1/4)
(+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))
(/ (* x (* x -1/48)) (* s s))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* x (* x -1/48))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* x -1/48)
(*.f32 x #s(literal -1/48 binary32))
-1/48
#s(literal -1/48 binary32)
(* s s)
(*.f32 s s)
s
1/4
#s(literal 1/4 binary32)
(* (* x (* x x)) (+ (/ (/ 1/4 s) (* x x)) (+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 x s)))
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
(+ (/ (/ 1/4 s) (* x x)) (+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))
(/ (/ 1/4 s) (* x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x)))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
s
(+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(/ 1/2 (* x (* x x)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x)))
1/2
#s(literal 1/2 binary32)
(/ -1/48 (* s (* s s)))
(/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))
-1/48
#s(literal -1/48 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))
(* s s)
(*.f32 s s)

localize173.0ms (1.3%)

Memory
3.0MiB live, 268.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy93.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x))
✓accuracy91.8%
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
✓accuracy80.1%
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))
✓accuracy70.3%
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))
✓accuracy99.7%
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
✓accuracy99.6%
(*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)))
✓accuracy99.3%
(*.f32 x #s(literal -1/48 binary32))
✓accuracy82.2%
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
✓accuracy99.9%
(*.f32 (*.f32 s s) #s(literal -2 binary32))
✓accuracy99.9%
(-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s)
✓accuracy99.8%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
✓accuracy91.0%
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x)
✓accuracy100.0%
(/.f32 (neg.f32 s) x)
✓accuracy100.0%
(neg.f32 s)
✓accuracy99.9%
(expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))
✓accuracy99.6%
(/.f32 #s(literal -2 binary32) (/.f32 s x))
✓accuracy99.6%
(/.f32 #s(literal -1 binary32) (/.f32 s x))
✓accuracy96.2%
(/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
Samples
90.0ms181×0valid
19.0ms73×0exit
1.0ms1×5exit
1.0ms1×1valid
Compiler

Compiled 316 to 42 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 25.0ms (41.6% of total)
ival-mult: 13.0ms (21.6% of total)
ival-neg: 8.0ms (13.3% of total)
const: 4.0ms (6.7% of total)
ival-add: 4.0ms (6.7% of total)
ival-expm1: 4.0ms (6.7% of total)
ival-sub: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
3.0MiB live, 86.4MiB allocated
Counts
26 → 552
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1))))>
#<alt (/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1)))>
#<alt (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1))>
#<alt (- (exp (/ -1 (/ s x))) 1)>
#<alt (neg s)>
#<alt (/ (neg s) x)>
#<alt (/ (- (/ (* (* s s) -2) x) s) x)>
#<alt (- (/ (* (* s s) -2) x) s)>
#<alt (/ (* (* s s) -2) x)>
#<alt (* (* s s) -2)>
#<alt (+ 1/2 (/ (* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4)) s))>
#<alt (/ (* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4)) s)>
#<alt (* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4))>
#<alt (+ (/ (* x (* x -1/48)) (* s s)) 1/4)>
#<alt (* (* x (* x x)) (+ (/ (/ 1/4 s) (* x x)) (+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s))))))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ (/ (/ 1/4 s) (* x x)) (+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s)))))>
#<alt (/ -1 (/ s x))>
#<alt (/ -2 (/ s x))>
#<alt (- (exp (/ -2 (/ s x))) 1)>
#<alt (/ (* x (* x -1/48)) (* s s))>
#<alt (* x -1/48)>
#<alt (* x (* x -1/48))>
#<alt (+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s))))>
#<alt (/ (/ 1/4 s) (* x x))>
Outputs
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt 1/2>
#<alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))>
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#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<alt 1/2>
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#<alt 2>
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#<alt 2>
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#<alt 2>
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#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
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#<alt 1/2>
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#<alt 1/2>
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#<alt 1/2>
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#<alt 1/2>
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#<alt 1/2>
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#<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 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (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 (/ -1/48 (pow s 3))>
#<alt (/ (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48) (pow s 3))>
#<alt (/ (- (* (pow s 2) (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) 1/48) (pow s 3))>
#<alt (/ (- (* (pow s 2) (+ (* 1/2 (/ s (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) 1/48) (pow s 3))>
#<alt (/ 1/2 (pow x 3))>
#<alt (+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (- (+ (/ 1/4 (* s (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) (/ 1/48 (pow s 3)))>
#<alt (- (+ (/ 1/4 (* s (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) (/ 1/48 (pow s 3)))>
#<alt (/ 1/2 (pow x 3))>
#<alt (+ (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (+ (* -1 (/ (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))) s)) (* 1/2 (/ 1 (pow x 3))))>
#<alt (+ (* -1 (/ (- (* 1/48 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))) s)) (* 1/2 (/ 1 (pow x 3))))>
#<alt (/ 1/2 (pow x 3))>
#<alt (/ (+ 1/2 (* 1/4 (/ x s))) (pow x 3))>
#<alt (/ (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) (pow x 3))>
#<alt (/ (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) (pow x 3))>
#<alt (/ -1/48 (pow s 3))>
#<alt (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (/ -1/48 (pow s 3))>
#<alt (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<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 (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (* -2 (/ x s))>
#<alt (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)>
#<alt (* -2 (/ x s))>
#<alt (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))>
#<alt (* -2 (/ x s))>
#<alt (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))>
#<alt (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))>
#<alt (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (* -1/48 (pow x 2))>
#<alt (/ 1/2 (pow x 3))>
#<alt (/ (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3)))) (pow x 3))>
#<alt (/ (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3)))) (pow x 3))>
#<alt (/ (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3)))) (pow x 3))>
#<alt (/ -1/48 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (/ -1/48 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (/ -1/48 (pow s 3))>
#<alt (/ (- (* 1/2 (/ (pow s 3) (pow x 3))) 1/48) (pow s 3))>
#<alt (/ (- (* 1/2 (/ (pow s 3) (pow x 3))) 1/48) (pow s 3))>
#<alt (/ (- (* 1/2 (/ (pow s 3) (pow x 3))) 1/48) (pow s 3))>
#<alt (/ 1/2 (pow x 3))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (/ 1/2 (pow x 3))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
#<alt (/ 1/4 (* s (pow x 2)))>
Calls

138 calls:

TimeVariablePointExpression
5.0ms
s
@0
(/ (- (/ (* (* s s) -2) x) s) x)
4.0ms
x
@0
(/ (/ 1/4 s) (* x x))
2.0ms
s
@-inf
(/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1)))
1.0ms
s
@inf
(/ 1 (/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1))))
1.0ms
x
@0
(/ 1 (/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1))))

rewrite494.0ms (3.7%)

Memory
-14.9MiB live, 648.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 824×/-lowering-/.f32
4 824×/-lowering-/.f64
4 008×*-lowering-*.f32
4 008×*-lowering-*.f64
2 846×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042256
1298249
23229247
08883221
Stop Event
1×iter limit
1×node limit
Counts
26 → 1 020
Calls
Call 1
Inputs
(/ 1 (/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1))))
(/ 1 (/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1)))
(/ (- (exp (/ -1 (/ s x))) 1) (- (exp (/ -2 (/ s x))) 1))
(- (exp (/ -1 (/ s x))) 1)
(neg s)
(/ (neg s) x)
(/ (- (/ (* (* s s) -2) x) s) x)
(- (/ (* (* s s) -2) x) s)
(/ (* (* s s) -2) x)
(* (* s s) -2)
(+ 1/2 (/ (* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4)) s))
(/ (* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4)) s)
(* x (+ (/ (* x (* x -1/48)) (* s s)) 1/4))
(+ (/ (* x (* x -1/48)) (* s s)) 1/4)
(* (* x (* x x)) (+ (/ (/ 1/4 s) (* x x)) (+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s))))))
(* x (* x x))
(* x x)
(+ (/ (/ 1/4 s) (* x x)) (+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s)))))
(/ -1 (/ s x))
(/ -2 (/ s x))
(- (exp (/ -2 (/ s x))) 1)
(/ (* x (* x -1/48)) (* s s))
(* x -1/48)
(* x (* x -1/48))
(+ (/ 1/2 (* x (* x x))) (/ -1/48 (* s (* s s))))
(/ (/ 1/4 s) (* x x))
Outputs
(neg.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(exp.f32 (log.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal 1 binary32)))
(+.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(pow.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 x (neg.f32 s)))) (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 x (neg.f32 s))))) #s(literal -1/2 binary32))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(-.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (expm1.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(/.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))) #s(literal 1 binary32))
(/.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))) #s(literal -1 binary32))
(/.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s)))) (*.f32 #s(literal 1 binary32) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(/.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (+.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 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
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(/.f32 (neg.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s)))) (*.f32 (*.f32 x x) #s(literal 1/48 binary32)))) (neg.f32 (*.f32 (*.f32 x x) (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))))))
(/.f32 (neg.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) s))) (neg.f32 (*.f32 (*.f32 x x) (*.f32 s s))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x x)) #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal -1/48 binary32)) #s(literal 1 binary32)))) (neg.f32 (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal -1/48 binary32)) (/.f32 (*.f32 x (*.f32 x x)) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal -1/48 binary32)) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal -1/48 binary32)) (*.f32 x (*.f32 x x)))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x (*.f32 x x)))) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal -1/48 binary32)) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal -1/48 binary32)) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal -1/48 binary32)) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (*.f32 (/.f32 (*.f32 s (*.f32 s s)) #s(literal -1/48 binary32)) (*.f32 x x))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x x)) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (neg.f32 (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s (*.f32 s s)) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 x x))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))) (*.f32 x (*.f32 x x)))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1/48 binary32) (neg.f32 (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x x)) (*.f32 (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (*.f32 (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))) (*.f32 x x))))
(/.f32 (neg.f32 (+.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) (/.f32 (*.f32 x (*.f32 x x)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (/.f32 (*.f32 x (*.f32 x x)) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (+.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 x (*.f32 x x)))))
(/.f32 (neg.f32 (+.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) (neg.f32 (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 s s) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 (neg.f32 (+.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) (*.f32 x x)) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 x x))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))))) (neg.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (/.f32 (/.f32 #s(literal -1/110592 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))))))) (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (/.f32 (-.f32 (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (*.f32 s (*.f32 s s)) #s(literal -1/48 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/2304 binary32) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))))))) (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/2304 binary32) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (neg.f32 (-.f32 (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 (neg.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 x (*.f32 x x)))) (*.f32 s (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (/.f32 (/.f32 #s(literal -1/110592 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (/.f32 (-.f32 (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (*.f32 s (*.f32 s s)) #s(literal -1/48 binary32))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/2304 binary32) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))
(neg.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) s) (*.f32 x x)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 s #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 x (/.f32 (/.f32 #s(literal 1/4 binary32) s) x)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s #s(literal 1/4 binary32)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 x x)) #s(literal 1/4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 s #s(literal 1/4 binary32)) (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s (*.f32 x x)) #s(literal 1/4 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 (/.f32 #s(literal 1/4 binary32) s) x))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) (neg.f32 (*.f32 (neg.f32 s) (*.f32 x x))))
(/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 (*.f32 s (*.f32 x x)))))
(/.f32 #s(literal 1/4 binary32) (neg.f32 (*.f32 (*.f32 x x) (neg.f32 s))))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (neg.f32 (neg.f32 (*.f32 x x))))
(/.f32 #s(literal -1/4 binary32) (*.f32 (neg.f32 s) (*.f32 x x)))
(/.f32 #s(literal -1/4 binary32) (neg.f32 (*.f32 s (*.f32 x x))))
(/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 x x) (neg.f32 s)))
(/.f32 (/.f32 #s(literal -1/4 binary32) s) (neg.f32 (*.f32 x x)))
(/.f32 (/.f32 #s(literal -1/4 binary32) s) (neg.f32 (neg.f32 (neg.f32 (*.f32 x x)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 s #s(literal 1/4 binary32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) x) x)
(/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) (*.f32 x x))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) x)) (neg.f32 x))
(/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (/.f32 s #s(literal 1/4 binary32))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32))) (neg.f32 (*.f32 x x)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) x))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) s)
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x))))
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))))
(*.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1/4 binary32) s))
(*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(*.f32 (pow.f32 (/.f32 x #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (pow.f32 (/.f32 (*.f32 x x) #s(literal -1/4 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))

simplify574.0ms (4.3%)

Memory
11.6MiB live, 889.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 480×accelerator-lowering-fma.f32
10 480×accelerator-lowering-fma.f64
5 178×*-lowering-*.f32
5 178×*-lowering-*.f64
2 742×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04476010
112935749
241135544
082505169
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
1/2
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
1/2
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
2
(- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))
(- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))
2
(+ 2 (* -1 (/ (- (* 2 x) x) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) 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))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
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(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(* -1/48 (pow x 2))
(/ 1/2 (pow x 3))
(/ (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3)))) (pow x 3))
(/ (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3)))) (pow x 3))
(/ (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3)))) (pow x 3))
(/ -1/48 (pow s 3))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(/ -1/48 (pow s 3))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(/ -1/48 (pow s 3))
(/ (- (* 1/2 (/ (pow s 3) (pow x 3))) 1/48) (pow s 3))
(/ (- (* 1/2 (/ (pow s 3) (pow x 3))) 1/48) (pow s 3))
(/ (- (* 1/2 (/ (pow s 3) (pow x 3))) 1/48) (pow s 3))
(/ 1/2 (pow x 3))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(/ 1/2 (pow x 3))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
(/ 1/4 (* s (pow x 2)))
Outputs
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
1/2
#s(literal 1/2 binary32)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/12 binary32))) (*.f32 s s))) (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal 1/4 binary32))) (*.f32 s s)))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/3 binary32)) (*.f32 s s))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/12 binary32))) (*.f32 s s)) (+.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/4 binary32))) (*.f32 s s)) (+.f32 (+.f32 (/.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 (*.f32 x x) #s(literal 2/3 binary32))) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s)) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) s) s))) (+.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 0 binary32))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x #s(literal -1/4 binary32)) (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -7/48 binary32)) (+.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 (*.f32 x x) #s(literal 2/3 binary32))) (*.f32 x #s(literal 0 binary32)))) (neg.f32 s)) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) 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)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
2
#s(literal 2 binary32)
(- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s)) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s) x) s)))))
(- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))
(+.f32 (+.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) #s(literal 2 binary32)) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -2/3 binary32)) (*.f32 s (*.f32 s s)))) (+.f32 (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) s) x) s) (*.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/2 binary32)))) (*.f32 s s)))) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/12 binary32)) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s)) (/.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) s) s))))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (- (* 2 x) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (+.f32 (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/2 binary32)))) s)) s))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (-.f32 (+.f32 (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/2 binary32)))) (/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 7/12 binary32)) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) x) (*.f32 (*.f32 x #s(literal -1/2 binary32)) (+.f32 (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/2 binary32))))))) s)) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 x (+.f32 (*.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))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
1/2
#s(literal 1/2 binary32)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (+.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/12 binary32))) (*.f32 s s))) (+.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal 1/4 binary32))) (*.f32 s s)))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/3 binary32)) (*.f32 s s))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
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1/2
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(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(* -1/48 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/48 binary32)))
(/ 1/2 (pow x 3))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x)))
(/ (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3)))) (pow x 3))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
(/ (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3)))) (pow x 3))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
(/ (+ 1/2 (* -1/48 (/ (pow x 3) (pow s 3)))) (pow x 3))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x x)))
(/ -1/48 (pow s 3))
(/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(/ -1/48 (pow s 3))
(/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(/ -1/48 (pow s 3))
(/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 (/ (pow s 3) (pow x 3))) 1/48) (pow s 3))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x (*.f32 x x))) s)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(/ (- (* 1/2 (/ (pow s 3) (pow x 3))) 1/48) (pow s 3))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x (*.f32 x x))) s)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(/ (- (* 1/2 (/ (pow s 3) (pow x 3))) 1/48) (pow s 3))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s #s(literal 1/2 binary32)) (*.f32 x (*.f32 x x))) s)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(/ 1/2 (pow x 3))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x)))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(/ 1/2 (pow x 3))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x)))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(- (* 1/2 (/ 1 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)
(/ 1/4 (* s (pow x 2)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s)

eval153.0ms (1.2%)

Memory
-3.2MiB live, 413.7MiB allocated
Compiler

Compiled 47 170 to 4 184 computations (91.1% saved)

prune197.0ms (1.5%)

Memory
22.5MiB live, 581.4MiB allocated
Pruning

36 alts after pruning (28 fresh and 8 done)

PrunedKeptTotal
New1 622101 632
Fresh71825
Picked325
Done066
Total1 632361 668
Accuracy
100.0%
Counts
1 668 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.2%
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x)
13.9%
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) s) x)
16.8%
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
30.6%
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
✓6.6%
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
✓15.3%
(/.f32 (neg.f32 s) x)
27.4%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s)) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) #s(literal 2 binary32))))
30.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
29.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
✓67.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
17.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))))
✓38.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
52.2%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) x) s) #s(literal 2 binary32)))
6.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))) (*.f32 x (+.f32 x (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))))))) s)))
43.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
20.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 s (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 x x)) (*.f32 s (+.f32 x (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s))))))
✓51.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
47.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) #s(literal -1/6 binary32)) x) s)))
51.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) x) s)))
49.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
30.1%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
30.7%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x)) x)))))
31.6%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
16.7%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
4.3%
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32))) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s))) (-.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s)) (*.f32 x #s(literal 1/4 binary32)))))) s))
26.4%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal 1/4 binary32))) s))
29.3%
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
15.3%
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
3.2%
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))) x) (*.f32 x x))
2.6%
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 x x) (*.f32 s (*.f32 s s))))))
2.2%
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))))
27.9%
(*.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
24.5%
(*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
✓36.0%
#s(literal 1/2 binary32)
Compiler

Compiled 2 258 to 844 computations (62.6% saved)

regimes133.0ms (1%)

Memory
-38.9MiB live, 295.5MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 (/.f32 s x) (/.f32 x s))) (/.f32 s x))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal 1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) #s(literal -1/6 binary32)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))))
(*.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x)) x)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 x x) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (*.f32 (/.f32 s (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) #s(literal 1 binary32))) (*.f32 (/.f32 s (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s)) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 s (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 x x)) (*.f32 s (+.f32 x (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s) (/.f32 s (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x))) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))) (*.f32 x (+.f32 x (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32))) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s))) (-.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s)) (*.f32 x #s(literal 1/4 binary32)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (expm1.f32 (/.f32 #s(literal -2 binary32) (/.f32 s x))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
Calls

7 calls:

25.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
24.0ms
s
17.0ms
(neg.f32 x)
16.0ms
x
15.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes124.0ms (0.9%)

Memory
14.4MiB live, 359.4MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 (/.f32 s x) (/.f32 x s))) (/.f32 s x))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal 1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) #s(literal -1/6 binary32)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))))
(*.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x)) x)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 x x) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (*.f32 (/.f32 s (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) #s(literal 1 binary32))) (*.f32 (/.f32 s (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s)) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 s (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 x x)) (*.f32 s (+.f32 x (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s) (/.f32 s (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x))) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))) (*.f32 x (+.f32 x (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32))) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s))) (-.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s)) (*.f32 x #s(literal 1/4 binary32)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
Calls

7 calls:

19.0ms
x
18.0ms
(neg.f32 x)
16.0ms
s
15.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
15.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes156.0ms (1.2%)

Memory
1.8MiB live, 336.1MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 (/.f32 s x) (/.f32 x s))) (/.f32 s x))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal 1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) #s(literal -1/6 binary32)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))))
(*.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x)) x)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 x x) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (*.f32 (/.f32 s (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) #s(literal 1 binary32))) (*.f32 (/.f32 s (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s)) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 s (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 x x)) (*.f32 s (+.f32 x (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s) (/.f32 s (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x))) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))) (*.f32 x (+.f32 x (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32))) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s))) (-.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s)) (*.f32 x #s(literal 1/4 binary32)))))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

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

Compiled 43 to 31 computations (27.9% saved)

regimes62.0ms (0.5%)

Memory
10.7MiB live, 84.1MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 (/.f32 s x) (/.f32 x s))) (/.f32 s x))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal 1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) #s(literal -1/6 binary32)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s))) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s))))))
(*.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 (*.f32 s s) (+.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))) x) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))) x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) s) (*.f32 (+.f32 #s(literal 0 binary32) x) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) (*.f32 (+.f32 #s(literal 0 binary32) x) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x)) x)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 (*.f32 x x) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 x x)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 s x) (*.f32 (/.f32 s (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) #s(literal 1 binary32))) (*.f32 (/.f32 s (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s)) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 s x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s)) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) (/.f32 s (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))))) (*.f32 x x)) (*.f32 s (+.f32 x (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s) (/.f32 s (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x))) #s(literal 4 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 x s)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)))) (*.f32 x (+.f32 x (/.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 (*.f32 x (*.f32 x x)) s))))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/110592 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/64 binary32))) (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s))) (-.f32 (*.f32 (*.f32 x #s(literal 1/4 binary32)) (*.f32 x #s(literal 1/4 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32)))) (*.f32 s s)) (*.f32 x #s(literal 1/4 binary32)))))) s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)))))
#s(literal 1/2 binary32)
Calls

2 calls:

41.0ms
s
17.0ms
x
Results
AccuracySegmentsBranch
63.4%2x
52.3%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-11.8MiB live, 26.5MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 (/.f32 s x) (/.f32 x s))) (/.f32 s x))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal 1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) #s(literal -1/6 binary32)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
#s(literal 1/2 binary32)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
62.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
23.4MiB live, 23.4MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 (/.f32 s x) (/.f32 x s))) (/.f32 s x))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal -1/4 binary32))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s s)) #s(literal 1/4 binary32))) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 x #s(literal -1/48 binary32))) s) #s(literal 1/4 binary32))) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) #s(literal -1/6 binary32)) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 x x) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) s) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))) s)) s)))
Outputs
(/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
#s(literal 1/2 binary32)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
61.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-27.3MiB live, 16.9MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) x)) s) x)
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) s) x)
(/.f32 (neg.f32 (/.f32 (/.f32 s x) (/.f32 x s))) (/.f32 s x))
(/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) s) s)) s)
Outputs
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x)
#s(literal 1/2 binary32)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
57.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
Outputs
(*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
#s(literal 1/2 binary32)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
55.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-20.7MiB live, 17.6MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 1/2 binary32)
Calls

2 calls:

4.0ms
s
3.0ms
x
Results
AccuracySegmentsBranch
38.3%1s
47.5%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
Outputs
(/.f32 #s(literal -1 binary32) (/.f32 x s))
#s(literal 1/2 binary32)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
46.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 (neg.f32 s) x)
(-.f32 #s(literal 0 binary32) (/.f32 s x))
Outputs
(/.f32 (neg.f32 s) x)
#s(literal 1/2 binary32)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
45.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
s
Results
AccuracySegmentsBranch
36.0%1s
36.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-8.0539665083402895e-28
-4.769443210723521e-28
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.2176183320075293e-15
-6.958005084779654e-16
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.2176183320075293e-15
-6.958005084779654e-16
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3214964674253265e-17
-2.4141791243178628e-20
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.2176183320075293e-15
-6.958005084779654e-16
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.2240922381937636e-27
2.6411303462856535e-26
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.2176183320075293e-15
-6.958005084779654e-16
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.2176183320075293e-15
-6.958005084779654e-16
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify12.0ms (0.1%)

Memory
-15.1MiB live, 24.0MiB allocated
Algorithm
1×egg-herbie
Rules
32×*-commutative_binary32
24×+-commutative_binary32
10×sub-neg_binary32
8×neg-sub0_binary32
8×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073163
1105163
2116163
3122163
4124163
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 x #s(literal -5192297/10384593717069655257060992658440192 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -6044629/604462909807314587353088 binary32)) (/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 6490371/1298074214633706907132624082305024 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (/.f32 (neg.f32 s) x) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))))
(if (<=.f32 x #s(literal -5192297/10384593717069655257060992658440192 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 (*.f32 (/.f32 x (*.f32 s s)) (+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (/.f32 (*.f32 (*.f32 s s) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -6044629/604462909807314587353088 binary32)) (/.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 s s)) x) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -6044629/604462909807314587353088 binary32)) (/.f32 (/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) x) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (*.f32 #s(literal -2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal 6490371/1298074214633706907132624082305024 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (/.f32 (neg.f32 s) x) #s(literal 1/2 binary32))
(if (<=.f32 x #s(literal -9444733/9444732965739290427392 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 s x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)

soundness4.0s (30.1%)

Memory
3.2MiB live, 5 067.5MiB allocated
Rules
40 054×accelerator-lowering-fma.f32
40 054×accelerator-lowering-fma.f64
10 480×accelerator-lowering-fma.f32
10 480×accelerator-lowering-fma.f64
8 522×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04476010
112935749
241135544
082505169
06154882
118824419
257284317
082654150
0140662
1378652
21147646
33893626
08438586
037218
1241199
22080199
08303190
0823
14323
225023
3209823
0845622
039228
1258209
22305199
08444195
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
Compiler

Compiled 396 to 239 computations (39.6% saved)

preprocess49.0ms (0.4%)

Memory
41.7MiB live, 117.5MiB allocated
Compiler

Compiled 358 to 162 computations (54.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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