Logistic function

Time bar (total: 12.9s)

analyze37.0ms (0.3%)

Memory
7.4MiB live, 82.8MiB 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)

sample890.0ms (6.9%)

Memory
-1.2MiB live, 1 380.1MiB allocated
Samples
650.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 470.0ms
ival-div: 139.0ms (29.6% of total)
const: 114.0ms (24.2% of total)
ival-exp: 63.0ms (13.4% of total)
ival-neg: 47.0ms (10% of total)
ival-<=: 44.0ms (9.4% of total)
ival-add: 39.0ms (8.3% of total)
ival-and: 11.0ms (2.3% of total)
exact: 10.0ms (2.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess37.0ms (0.3%)

Memory
13.6MiB live, 51.1MiB 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 x (neg.f32 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)))))

explain96.0ms (0.7%)

Memory
1.1MiB live, 164.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
21(9.437925932781468e-20 2.3577217251046137e-22)2(-1.5564817212876392e-9 2.3894101974786253e-11)(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))sensitivity13
Confusion
Predicted +Predicted -
+01
-1254
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-12252
Precision?
0.25
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 10.0ms (44% of total)
ival-exp: 7.0ms (30.8% of total)
ival-add: 2.0ms (8.8% of total)
ival-neg: 2.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0%)

Memory
13.5MiB live, 13.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize34.0ms (0.3%)

Memory
-46.6MiB live, 46.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓accuracy99.8%
(exp.f32 (/.f32 (neg.f32 x) s))
Samples
23.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 10.0ms (60.5% of total)
ival-div: 4.0ms (24.2% of total)
ival-exp: 2.0ms (12.1% of total)
ival-neg: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (exp (/ (neg x) s))))>
#<alt (+ 1 (exp (/ (neg x) s)))>
#<alt (exp (/ (neg x) s))>
#<alt (/ (neg x) s)>
#<alt (neg x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

27 calls:

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

rewrite468.0ms (3.6%)

Memory
27.7MiB live, 542.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 358×/-lowering-/.f32
4 358×/-lowering-/.f64
3 830×accelerator-lowering-fma.f32
3 830×accelerator-lowering-fma.f64
3 688×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify1.1s (8.7%)

Memory
-1.9MiB live, 750.6MiB allocated
Algorithm
1×egg-herbie
Rules
40 054×accelerator-lowering-fma.f32
40 054×accelerator-lowering-fma.f64
4 544×*-lowering-*.f32
4 544×*-lowering-*.f64
2 942×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval131.0ms (1%)

Memory
-1.5MiB live, 150.9MiB allocated
Compiler

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

prune224.0ms (1.7%)

Memory
15.3MiB live, 216.9MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New80612818
Fresh000
Picked011
Done000
Total80613819
Accuracy
99.9%
Counts
819 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
14.5%
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
28.4%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
▶56.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
59.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
▶44.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
▶58.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
55.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1/2 binary32))) (pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1/2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
58.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
▶99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
▶33.2%
#s(literal 1/2 binary32)
Compiler

Compiled 387 to 262 computations (32.3% saved)

simplify366.0ms (2.8%)

Memory
-33.2MiB live, 317.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓cost-diff64
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
✓cost-diff64
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
✓cost-diff320
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓cost-diff0
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓cost-diff0
(exp.f32 (neg.f32 (/.f32 x s)))
✓cost-diff0
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
✓cost-diff0
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
✓cost-diff6016
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
Rules
9 514×accelerator-lowering-fma.f32
9 514×accelerator-lowering-fma.f64
2 438×*-lowering-*.f32
2 438×*-lowering-*.f64
1 256×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032235
176234
2153234
3259222
4440222
5732222
61527222
73571222
85170222
96846222
107938222
08006200
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(neg (log (+ 1 (exp (neg (/ x s))))))
(log (+ 1 (exp (neg (/ x s)))))
(exp (neg (/ x s)))
(neg (/ x s))
(/ x s)
x
s
1/2
(/ 1 (- 2 (/ x s)))
1
(- 2 (/ x s))
2
(/ x s)
x
s
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))
1
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
(/ x s)
x
s
(+ (* 1/2 (/ x s)) -1)
1/2
-1
2
(/ 1 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))
1
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
2
(/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)
(- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)
(/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)
(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))
(/ (* x (* x x)) s)
(* x (* x x))
x
(* x x)
s
-1/6
(* 1/2 (* x x))
1/2
Outputs
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(neg (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(exp (neg (/ x s)))
(exp.f32 (neg.f32 (/.f32 x s)))
(neg (/ x s))
(neg.f32 (/.f32 x s))
(/ x s)
(/.f32 x s)
x
s
1/2
#s(literal 1/2 binary32)
(/ 1 (- 2 (/ x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(- 2 (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
2
#s(literal 2 binary32)
(/ x s)
(/.f32 x s)
x
s
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
x
s
(+ (* 1/2 (/ x s)) -1)
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
1/2
#s(literal 1/2 binary32)
-1
#s(literal -1 binary32)
2
#s(literal 2 binary32)
(/ 1 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)
(/.f32 (*.f32 x (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32))) s)
(- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)
(*.f32 x (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))
(*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))
(/ (* x (* x x)) s)
(*.f32 x (/.f32 (*.f32 x x) s))
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
s
-1/6
#s(literal -1/6 binary32)
(* 1/2 (* x x))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)

localize188.0ms (1.5%)

Memory
-10.6MiB live, 224.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓accuracy95.4%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy91.5%
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
✓accuracy88.0%
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓accuracy99.8%
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy100.0%
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
✓accuracy99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
✓accuracy99.8%
(exp.f32 (neg.f32 (/.f32 x s)))
✓accuracy96.7%
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
Samples
61.0ms161×0valid
25.0ms95×1exit
Compiler

Compiled 236 to 33 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-div: 39.0ms (55% of total)
ival-mult: 9.0ms (12.7% of total)
ival-add: 4.0ms (5.6% of total)
ival-exp: 4.0ms (5.6% of total)
const: 4.0ms (5.6% of total)
adjust: 3.0ms (4.2% of total)
ival-sub: 2.0ms (2.8% of total)
ival-log1p: 2.0ms (2.8% of total)
ival-neg: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series180.0ms (1.4%)

Memory
12.7MiB live, 167.3MiB allocated
Counts
16 → 384
Calls
Call 1
Inputs
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (neg (log (+ 1 (exp (neg (/ x s))))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (exp (neg (/ x s)))>
#<alt (/ 1 (- 2 (/ x s)))>
#<alt (- 2 (/ x s))>
#<alt (/ x s)>
#<alt (/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))>
#<alt (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)>
#<alt (+ (* 1/2 (/ x s)) -1)>
#<alt (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))>
#<alt (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))>
#<alt (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)>
#<alt (/ 1 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))>
#<alt (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)>
#<alt (/ (* x (* x x)) s)>
Outputs
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (/ x s)))))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))>
#<alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))>
#<alt (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (neg (/ x s))))))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))>
#<alt (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))>
#<alt (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log (+ 1 (exp (neg (/ x s)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt (exp (neg (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))>
#<alt (* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))>
#<alt (* -1 (/ s x))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (/ x s))>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (* 1/2 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ x s))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* 1/2 (/ x s))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
Calls

96 calls:

TimeVariablePointExpression
48.0ms
x
@inf
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
43.0ms
x
@-inf
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
35.0ms
s
@0
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
27.0ms
x
@inf
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
3.0ms
x
@0
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))

rewrite775.0ms (6%)

Memory
7.3MiB live, 602.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 426×/-lowering-/.f32
4 426×/-lowering-/.f64
4 122×*-lowering-*.f32
4 122×*-lowering-*.f64
3 276×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032176
1198175
21760175
08212160
Stop Event
1×iter limit
1×node limit
Counts
16 → 500
Calls
Call 1
Inputs
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(neg (log (+ 1 (exp (neg (/ x s))))))
(log (+ 1 (exp (neg (/ x s)))))
(exp (neg (/ x s)))
(/ 1 (- 2 (/ x s)))
(- 2 (/ x s))
(/ x s)
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
(+ (* 1/2 (/ x s)) -1)
(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
(- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)
(/ 1 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))
(/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)
(/ (* x (* x x)) s)
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (*.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 x (neg.f32 s)))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32)))
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(*.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))) s) (/.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))))
(neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s)))
(neg.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32))))
(/.f32 (*.f32 x (*.f32 x x)) s)
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x x)))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x x))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))
(*.f32 x (/.f32 (*.f32 x x) s))
(*.f32 (*.f32 x x) (/.f32 x s))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 x x) s) x)
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (*.f32 x x) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (neg.f32 (*.f32 x x)) s))
(*.f32 (/.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 x (neg.f32 s)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 x s))

simplify675.0ms (5.2%)

Memory
-0.2MiB live, 723.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 794×accelerator-lowering-fma.f32
12 794×accelerator-lowering-fma.f64
5 566×*-lowering-*.f32
5 566×*-lowering-*.f64
2 688×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07214697
121764141
273754113
081703840
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log (+ 1 (exp (neg (/ x s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
(exp (neg (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* -1 (/ s x))
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)
(/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)
(* -1 (/ s x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ s x))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
(* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
Outputs
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(fma.f32 x (fma.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) x) x (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(fma.f32 x (fma.f32 (*.f32 x x) (+.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (neg (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)) (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) (*.f32 x #s(literal 0 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/2 binary32)))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/4 binary32))) (*.f32 x #s(literal 1/4 binary32)) (fma.f32 x #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)))) s) s) (*.f32 x #s(literal -1/4 binary32))) s))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/192 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (neg (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(fma.f32 x (/.f32 (*.f32 x #s(literal -1/8 binary32)) (*.f32 s s)) (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(fma.f32 x #s(literal 0 binary32) (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 x #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s))) s))))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 x #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s))) s)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(neg.f32 (+.f32 (/.f32 (fma.f32 x #s(literal -1/2 binary32) (neg.f32 (fma.f32 (*.f32 x #s(literal 0 binary32)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) s))))) s) (log.f32 #s(literal 2 binary32))))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) s)) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 4 binary32))) #s(literal -1/192 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) s)) (log.f32 #s(literal 2 binary32)))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (neg (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
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#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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(- (* 1/2 (/ (pow x 2) s)) x)
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s)) x)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) x) x (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 (/.f32 x (pow.f32 s #s(literal 4 binary32))) #s(literal 1/96 binary32) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/.f32 (fma.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal -18 binary32))) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/.f32 (fma.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal -18 binary32) (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32)) (neg.f32 (*.f32 x x))))) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(/.f32 (-.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal 72 binary32) (fma.f32 #s(literal -108 binary32) (pow.f32 s #s(literal 6 binary32)) (*.f32 s (*.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32)) #s(literal 3 binary32))))) (neg.f32 (*.f32 x (*.f32 x x))))) (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -36 binary32) (*.f32 x x)) (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal 54 binary32) (*.f32 x x)) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal 18 binary32))))) (*.f32 x (*.f32 x x)))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(/.f32 (fma.f32 (*.f32 s (*.f32 s s)) #s(literal 6 binary32) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal 18 binary32))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (-.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal 6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32) (*.f32 (/.f32 (pow.f32 s #s(literal 5 binary32)) x) #s(literal -18 binary32))) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32) (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32) (fma.f32 s (*.f32 (*.f32 (/.f32 (pow.f32 s #s(literal 5 binary32)) x) #s(literal -18 binary32)) #s(literal -3 binary32)) (fma.f32 (pow.f32 s #s(literal 6 binary32)) (/.f32 #s(literal 72 binary32) x) (*.f32 #s(literal -108 binary32) (/.f32 (pow.f32 s #s(literal 6 binary32)) x))))) (neg.f32 x))) (neg.f32 x))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (fma.f32 s (fma.f32 (/.f32 s (pow.f32 x #s(literal 6 binary32))) #s(literal -18 binary32) (/.f32 #s(literal -18 binary32) (pow.f32 x #s(literal 5 binary32)))) (/.f32 #s(literal -18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) (*.f32 x #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal 0 binary32))) (neg.f32 s))) 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) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x x) (*.f32 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 x) (*.f32 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 x) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s 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 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.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 (fma.f32 x (*.f32 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 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)

eval166.0ms (1.3%)

Memory
7.1MiB live, 204.2MiB allocated
Compiler

Compiled 25 387 to 2 884 computations (88.6% saved)

prune159.0ms (1.2%)

Memory
-4.0MiB live, 313.0MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1 002171 019
Fresh077
Picked145
Done011
Total1 003291 032
Accuracy
99.9%
Counts
1 032 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶20.7%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
14.5%
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
28.4%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
36.9%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
36.0%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
▶21.9%
(/.f32 s (neg.f32 x))
54.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
58.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
59.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
57.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
60.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
▶37.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
37.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
23.4%
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
59.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
✓44.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
53.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
✓58.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
58.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
54.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
55.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1/2 binary32))) (pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1/2 binary32)))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶36.1%
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x)))))
25.8%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
58.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
35.7%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
✓99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
✓33.2%
#s(literal 1/2 binary32)
Compiler

Compiled 979 to 622 computations (36.5% saved)

simplify228.0ms (1.8%)

Memory
-24.0MiB live, 299.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x)))))
✓cost-diff32
(-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s)))))
✓cost-diff512
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x))))
✓cost-diff0
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓cost-diff0
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))
✓cost-diff320
(fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓cost-diff0
(neg.f32 x)
✓cost-diff0
(/.f32 s (neg.f32 x))
✓cost-diff0
(E.f32)
✓cost-diff0
(pow.f32 (E.f32) (neg.f32 (/.f32 x s)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
Rules
5 890×accelerator-lowering-fma.f32
5 890×accelerator-lowering-fma.f64
3 494×*-lowering-*.f32
3 494×*-lowering-*.f64
1 680×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043313
1123313
2328304
3972303
43046295
55210287
67560287
08089279
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))
(/ x s)
x
s
(/ s (neg x))
s
(neg x)
x
(+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)
(/ x s)
x
s
(+ (* (* x x) (/ -1/48 (* s s))) 1/4)
(* x x)
(/ -1/48 (* s s))
-1/48
(* s s)
1/4
1/2
(/ 1 (/ (+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x)))) (* s (* s s))))
1
(/ (+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x)))) (* s (* s s)))
(+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x))))
x
(* (* x x) -1/6)
(* x x)
-1/6
(* s (* 1/2 (* x x)))
s
(* 1/2 (* x x))
1/2
(* s (* s s))
(* s s)
(/ 1 (* (- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))) (neg (* x (* x x)))))
1
(* (- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))) (neg (* x (* x x))))
(- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s)))))
(/ 1/6 (* s (* s s)))
1/6
(* s (* s s))
s
(* s s)
(- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))
(/ 1/2 (* x (* s s)))
1/2
(* x (* s s))
x
(/ 1 (* x (* x s)))
(* x (* x s))
(* x s)
(neg (* x (* x x)))
(* x (* x x))
(* x x)
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))
(/ x s)
(/.f32 x s)
x
s
(/ s (neg x))
(/.f32 s (neg.f32 x))
s
(neg x)
(neg.f32 x)
x
(+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)
(fma.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 x s) #s(literal 1/2 binary32))
(/ x s)
(/.f32 x s)
x
s
(+ (* (* x x) (/ -1/48 (* s s))) 1/4)
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(* x x)
(*.f32 x x)
(/ -1/48 (* s s))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
-1/48
#s(literal -1/48 binary32)
(* s s)
(*.f32 s s)
1/4
#s(literal 1/4 binary32)
1/2
#s(literal 1/2 binary32)
(/ 1 (/ (+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x)))) (* s (* s s))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
1
#s(literal 1 binary32)
(/ (+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x)))) (* s (* s s)))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))
(+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x))))
(*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))
x
(* (* x x) -1/6)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x x)
(*.f32 x x)
-1/6
#s(literal -1/6 binary32)
(* s (* 1/2 (* x x)))
(*.f32 x (*.f32 #s(literal 1/2 binary32) (*.f32 x s)))
s
(* 1/2 (* x x))
(*.f32 (*.f32 x x) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))
(* s s)
(*.f32 s s)
(/ 1 (* (- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))) (neg (* x (* x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (*.f32 x x)) (fma.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 x (neg.f32 s))))
1
#s(literal 1 binary32)
(* (- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))) (neg (* x (* x x))))
(fma.f32 (neg.f32 (*.f32 x x)) (fma.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 x (neg.f32 s)))
(- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x s)) (+.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))))
(/ 1/6 (* s (* s s)))
(/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))
1/6
#s(literal 1/6 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))
s
(* s s)
(*.f32 s s)
(- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x s))))
(/ 1/2 (* x (* s s)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
1/2
#s(literal 1/2 binary32)
(* x (* s s))
(*.f32 x (*.f32 s s))
x
(/ 1 (* x (* x s)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s)))
(* x (* x s))
(*.f32 x (*.f32 x s))
(* x s)
(*.f32 x s)
(neg (* x (* x x)))
(neg.f32 (*.f32 x (*.f32 x x)))
(* x (* x x))
(*.f32 x (*.f32 x x))
(* x x)
(*.f32 x x)

localize157.0ms (1.2%)

Memory
1.3MiB live, 237.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy89.0%
(-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s)))))
✓accuracy88.1%
(*.f32 x (*.f32 s s))
✓accuracy87.5%
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))
✓accuracy70.0%
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x))))
✓accuracy98.6%
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓accuracy94.3%
(fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))
✓accuracy86.0%
(*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓accuracy78.5%
(/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))
✓accuracy100.0%
(*.f32 s s)
✓accuracy99.8%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓accuracy99.4%
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
✓accuracy82.1%
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
✓accuracy100.0%
(/.f32 s (neg.f32 x))
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(E.f32)
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
✓accuracy99.8%
(pow.f32 (E.f32) (neg.f32 (/.f32 x s)))
Samples
98.0ms256×0valid
Compiler

Compiled 339 to 45 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 31.0ms (38.7% of total)
ival-div: 17.0ms (21.2% of total)
const: 12.0ms (15% of total)
ival-add: 7.0ms (8.7% of total)
ival-pow: 5.0ms (6.2% of total)
ival-neg: 3.0ms (3.7% of total)
ival-e: 2.0ms (2.5% of total)
ival-sub: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series57.0ms (0.4%)

Memory
18.4MiB live, 93.3MiB allocated
Counts
23 → 456
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 (/ s (neg x))>
#<alt (neg x)>
#<alt (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)>
#<alt (/ x s)>
#<alt (+ (* (* x x) (/ -1/48 (* s s))) 1/4)>
#<alt (* x x)>
#<alt (/ 1 (/ (+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x)))) (* s (* s s))))>
#<alt (+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x))))>
#<alt (/ (+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x)))) (* s (* s s)))>
#<alt (* (* x x) -1/6)>
#<alt (* (- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))) (neg (* x (* x x))))>
#<alt (- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s)))))>
#<alt (/ 1 (* (- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))) (neg (* x (* x x)))))>
#<alt (/ 1/6 (* s (* s s)))>
#<alt (/ -1/48 (* s s))>
#<alt (* s s)>
#<alt (* s (* 1/2 (* x x)))>
#<alt (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))>
#<alt (* x (* s 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>
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#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (/ -1 (* s (pow x 2)))>
#<alt (/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) (pow x 2))>
#<alt (/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) (pow x 2))>
#<alt (/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) (pow x 2))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x))>
#<alt (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x))>
#<alt (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x))) (pow s 2))>
#<alt (/ (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x))) (pow s 2))>
#<alt (/ (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x))) (pow s 2))>
#<alt (/ -1 (* s (pow x 2)))>
#<alt (/ (- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2))) s)>
#<alt (/ (- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2))) s)>
#<alt (/ (- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2))) s)>
#<alt (/ -1 (* s (pow x 2)))>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (* s x)))) s))>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (* s x)))) s))>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (* s x)))) s))>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
Calls

114 calls:

TimeVariablePointExpression
20.0ms
s
@-inf
(/ s (neg x))
3.0ms
x
@0
(- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))
2.0ms
x
@-inf
(+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)
1.0ms
s
@inf
(/ 1 (+ 1 (pow (E) (neg (/ x s)))))
1.0ms
x
@0
(/ 1 (+ 1 (pow (E) (neg (/ x s)))))

rewrite340.0ms (2.6%)

Memory
10.4MiB live, 607.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 876×*-lowering-*.f32
3 876×*-lowering-*.f64
3 608×/-lowering-/.f32
3 608×/-lowering-/.f64
3 100×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043234
1290222
22808212
08337206
Stop Event
1×iter limit
1×node limit
Counts
23 → 749
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (E) (neg (/ x s)))))
(+ 1 (pow (E) (neg (/ x s))))
(pow (E) (neg (/ x s)))
(E)
(/ s (neg x))
(neg x)
(+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)
(/ x s)
(+ (* (* x x) (/ -1/48 (* s s))) 1/4)
(* x x)
(/ 1 (/ (+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x)))) (* s (* s s))))
(+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x))))
(/ (+ (* x (* (* x x) -1/6)) (* s (* 1/2 (* x x)))) (* s (* s s)))
(* (* x x) -1/6)
(* (- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))) (neg (* x (* x x))))
(- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s)))))
(/ 1 (* (- (/ 1/6 (* s (* s s))) (- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))) (neg (* x (* x x)))))
(/ 1/6 (* s (* s s)))
(/ -1/48 (* s s))
(* s s)
(* s (* 1/2 (* x x)))
(- (/ 1/2 (* x (* s s))) (/ 1 (* x (* x s))))
(* x (* s s))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (pow.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 x s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 x s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (neg.f32 (/.f32 x s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (neg.f32 (/.f32 x s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32)))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32)))) (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32)))) (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) (neg.f32 (+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))) (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))) #s(literal 1 binary32))
(/.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))) (expm1.f32 (neg.f32 (/.f32 x s))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))) (neg.f32 (expm1.f32 (neg.f32 (/.f32 x s)))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (/.f32 x s)))
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(/.f32 (neg.f32 (/.f32 (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (*.f32 s s)))) (*.f32 x (*.f32 s s)))) (neg.f32 (*.f32 s (*.f32 x x))))
(*.f32 (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 x x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s)))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))))))
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 s s)))
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(*.f32 (*.f32 x (*.f32 s s)) #s(literal 1 binary32))
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simplify347.0ms (2.7%)

Memory
4.8MiB live, 752.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 464×accelerator-lowering-fma.f32
8 464×accelerator-lowering-fma.f64
5 422×*-lowering-*.f32
5 422×*-lowering-*.f64
2 962×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06034835
118584537
257614424
088564275
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
1/2
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(/ 1/6 (pow s 3))
(/ (+ 1/6 (* -1/2 (/ s x))) (pow s 3))
(/ (+ 1/6 (* s (- (/ s (pow x 2)) (* 1/2 (/ 1 x))))) (pow s 3))
(/ (+ 1/6 (* s (- (/ s (pow x 2)) (* 1/2 (/ 1 x))))) (pow s 3))
(/ 1 (* s (pow x 2)))
(/ (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (* s x)))) s)
(/ (- (+ (/ 1/6 (pow s 2)) (/ 1 (pow x 2))) (/ 1/2 (* s x))) s)
(/ (- (+ (/ 1/6 (pow s 2)) (/ 1 (pow x 2))) (/ 1/2 (* s x))) s)
(/ 1 (* s (pow x 2)))
(* -1 (/ (- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))) s)) (/ 1 (pow x 2))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))) s)) (/ 1 (pow x 2))) s))
(/ 1 (* s (pow x 2)))
(/ (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)) (pow x 2))
(/ (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)) (pow x 2))
(/ (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)) (pow x 2))
(/ 1/6 (pow s 3))
(- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))
(- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 1/2 (* (pow s 2) x)))
(- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 1/2 (* (pow s 2) x)))
(/ 1/6 (pow s 3))
(- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))
(+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))
(+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* 54 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1 (/ (+ (* -1/6 x) (* 1/4 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1 (/ (+ (* -1/12 (pow x 2)) (* 1/2 (* x (+ (* -1/6 x) (* 1/4 x))))) (pow s 3))) (+ (* -1/6 (/ x (pow s 2))) (+ (* 1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/4 (/ x s)) (* 1/6 (/ x s))) 1/2) s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 x) (* 1/6 x))) s)) (* -1/12 (/ (pow x 2) s))) (+ (* -1/4 x) (* 1/6 x))) s)) 1/2) s)) (/ 1 x))))
(* -1 (/ s x))
(/ (+ (* -1 s) (* -1/2 x)) x)
(/ (+ (* -1 s) (* x (- (* -1/12 (/ x s)) 1/2))) x)
(/ (+ (* -1 s) (* x (- (* x (- (* 1/24 (/ x (pow s 2))) (* 1/12 (/ 1 s)))) 1/2))) x)
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (+ (* -54 (/ (pow s 5) (pow x 2))) (+ (* -18 (/ (pow s 4) x)) (+ (* -6 (pow s 3)) (* 36 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(/ (+ (* -54 (/ (pow s 5) (pow x 2))) (+ (* -18 (/ (pow s 4) x)) (+ (* -6 (pow s 3)) (+ (* 3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) (pow x 3))) (+ (* 36 (/ (pow s 5) (pow x 2))) (* 108 (/ (pow s 6) (pow x 3)))))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -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))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ 1/6 (pow s 3))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(* 1/2 (* s (pow x 2)))
(/ -1 (* s (pow x 2)))
(/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) (pow x 2))
(/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) (pow x 2))
(/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) (pow x 2))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)
(/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)
(/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)
(/ 1/2 (* (pow s 2) x))
(* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x))
(* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x))
(* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x))
(/ 1/2 (* (pow s 2) x))
(/ (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x))) (pow s 2))
(/ (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x))) (pow s 2))
(/ (+ (* -1 (/ s (pow x 2))) (* 1/2 (/ 1 x))) (pow s 2))
(/ -1 (* s (pow x 2)))
(/ (- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2))) s)
(/ (- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2))) s)
(/ (- (* 1/2 (/ 1 (* s x))) (/ 1 (pow x 2))) s)
(/ -1 (* s (pow x 2)))
(* -1 (/ (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (* s x)))) s))
(* -1 (/ (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (* s x)))) s))
(* -1 (/ (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (* s x)))) s))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 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)))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 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)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 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)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 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))))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 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)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 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 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) s) (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 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))))))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 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))))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
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 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) 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 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)) s))
(+ 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))))))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 x (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)) s))
(+ 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))))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))
(+ 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)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
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eval182.0ms (1.4%)

Memory
25.5MiB live, 297.7MiB allocated
Compiler

Compiled 37 985 to 3 359 computations (91.2% saved)

prune158.0ms (1.2%)

Memory
-14.2MiB live, 460.7MiB allocated
Pruning

34 alts after pruning (28 fresh and 6 done)

PrunedKeptTotal
New1 352161 368
Fresh71219
Picked235
Done235
Total1 363341 397
Accuracy
100.0%
Counts
1 397 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓20.7%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
28.4%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
14.5%
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
▶4.5%
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
36.9%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
36.9%
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
36.0%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
✓21.9%
(/.f32 s (neg.f32 x))
54.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
▶59.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
60.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
37.2%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s))))
37.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
37.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
37.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
59.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
✓44.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
58.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
37.0%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))) s) (neg.f32 (*.f32 x (*.f32 x x)))))
37.3%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x)))))
15.7%
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (*.f32 s s)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 x x)))))) (neg.f32 (*.f32 x (*.f32 x x)))))
39.7%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
23.4%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
11.2%
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x)))))) (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (neg.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))))
25.8%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
58.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
▶21.9%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
35.7%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
▶35.7%
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
✓33.2%
#s(literal 1/2 binary32)
Compiler

Compiled 1 208 to 744 computations (38.4% saved)

simplify333.0ms (2.6%)

Memory
19.0MiB live, 573.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 x (*.f32 s s))
✓cost-diff0
(fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
✓cost-diff160
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
✓cost-diff0
(/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)))))
✓cost-diff0
(*.f32 s s)
✓cost-diff0
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
✓cost-diff320
(fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))
✓cost-diff0
(/.f32 #s(literal -1/12 binary32) s)
✓cost-diff0
(fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32))
✓cost-diff0
(fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s))
✓cost-diff160
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
✓cost-diff0
(/.f32 #s(literal -1 binary32) x)
✓cost-diff96
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓cost-diff0
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))))
✓cost-diff64
(*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s)))
Rules
12 144×accelerator-lowering-fma.f32
12 144×accelerator-lowering-fma.f64
3 688×*-lowering-*.f32
3 688×*-lowering-*.f64
1 722×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046277
1119272
2319252
3683248
41157246
52075246
64427246
77136246
08312231
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))))
1
(+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s)))))
(pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))
(* (E) (* (E) (E)))
(E)
(* (E) (E))
(* 1/3 (neg (/ x s)))
1/3
(neg (/ x s))
(/ x s)
x
s
(* (/ -1 x) s)
(/ -1 x)
-1
x
s
(/ (+ (* x (+ (* x (/ -1/12 s)) -1/2)) (neg s)) x)
(+ (* x (+ (* x (/ -1/12 s)) -1/2)) (neg s))
x
(+ (* x (/ -1/12 s)) -1/2)
(/ -1/12 s)
-1/12
s
-1/2
(neg s)
(* (* s s) (/ s (+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6)))))
(* s s)
s
(/ s (+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6))))
(+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6)))
(* (* x x) 1/2)
(* x x)
x
1/2
(* (* x x) (* x -1/6))
(* x -1/6)
-1/6
(/ 1 (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2))
1
(+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2)
x
(+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))
(/ x (* s s))
(* s s)
s
(+ (* -1/6 (/ x s)) 1/2)
-1/6
(/ x s)
1/2
(/ -1 s)
-1
2
Outputs
(/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 x #s(literal -1/3 binary32)) s))))
1
#s(literal 1 binary32)
(+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s)))))
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 x #s(literal -1/3 binary32)) s)))
(pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 x #s(literal -1/3 binary32)) s))
(* (E) (* (E) (E)))
(*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))
(E)
(E.f32)
(* (E) (E))
(*.f32 (E.f32) (E.f32))
(* 1/3 (neg (/ x s)))
(/.f32 (*.f32 x #s(literal -1/3 binary32)) s)
1/3
#s(literal 1/3 binary32)
(neg (/ x s))
(/.f32 x (neg.f32 s))
(/ x s)
(/.f32 x s)
x
s
(* (/ -1 x) s)
(/.f32 s (neg.f32 x))
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
-1
#s(literal -1 binary32)
x
s
(/ (+ (* x (+ (* x (/ -1/12 s)) -1/2)) (neg s)) x)
(fma.f32 x (/.f32 #s(literal -1/12 binary32) s) (-.f32 #s(literal -1/2 binary32) (/.f32 s x)))
(+ (* x (+ (* x (/ -1/12 s)) -1/2)) (neg s))
(neg.f32 (fma.f32 x (fma.f32 (/.f32 x s) #s(literal 1/12 binary32) #s(literal 1/2 binary32)) s))
x
(+ (* x (/ -1/12 s)) -1/2)
(fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32))
(/ -1/12 s)
(/.f32 #s(literal -1/12 binary32) s)
-1/12
#s(literal -1/12 binary32)
s
-1/2
#s(literal -1/2 binary32)
(neg s)
(neg.f32 s)
(* (* s s) (/ s (+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6)))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 x (fma.f32 s #s(literal 1/2 binary32) (*.f32 x #s(literal -1/6 binary32))))))
(* s s)
(*.f32 s s)
s
(/ s (+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6))))
(/.f32 s (*.f32 x (*.f32 x (fma.f32 s #s(literal 1/2 binary32) (*.f32 x #s(literal -1/6 binary32))))))
(+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6)))
(*.f32 x (*.f32 x (fma.f32 s #s(literal 1/2 binary32) (*.f32 x #s(literal -1/6 binary32)))))
(* (* x x) 1/2)
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(* x x)
(*.f32 x x)
x
1/2
#s(literal 1/2 binary32)
(* (* x x) (* x -1/6))
(*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))
(* x -1/6)
(*.f32 x #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(/ 1 (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2)
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))
x
(+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))
(/ x (* s s))
(/.f32 x (*.f32 s s))
(* s s)
(*.f32 s s)
s
(+ (* -1/6 (/ x s)) 1/2)
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
-1/6
#s(literal -1/6 binary32)
(/ x s)
(/.f32 x s)
1/2
#s(literal 1/2 binary32)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
-1
#s(literal -1 binary32)
2
#s(literal 2 binary32)

localize220.0ms (1.7%)

Memory
-18.2MiB live, 266.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
✓accuracy93.8%
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
✓accuracy90.3%
(/.f32 x (*.f32 s s))
✓accuracy99.0%
(*.f32 x #s(literal -1/6 binary32))
✓accuracy94.7%
(/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)))))
✓accuracy88.2%
(fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))
✓accuracy81.8%
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
✓accuracy99.7%
(fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s))
✓accuracy99.6%
(fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32))
✓accuracy99.0%
(/.f32 #s(literal -1/12 binary32) s)
✓accuracy90.1%
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
✓accuracy100.0%
(/.f32 #s(literal -1 binary32) x)
✓accuracy99.5%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓accuracy99.9%
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))))
✓accuracy99.3%
(*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s)))
✓accuracy96.9%
(*.f32 (E.f32) (E.f32))
Samples
125.0ms256×0valid
Compiler

Compiled 273 to 48 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-div: 27.0ms (34.5% of total)
ival-mult: 23.0ms (29.4% of total)
const: 10.0ms (12.8% of total)
ival-add: 8.0ms (10.2% of total)
ival-pow: 5.0ms (6.4% of total)
ival-e: 2.0ms (2.6% of total)
ival-neg: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory
13.7MiB live, 49.7MiB allocated
Counts
21 → 432
Calls
Call 1
Inputs
#<alt (* 1/3 (neg (/ x s)))>
#<alt (/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))))>
#<alt (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s)))))>
#<alt (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))>
#<alt (* (/ -1 x) s)>
#<alt (/ -1 x)>
#<alt (/ (+ (* x (+ (* x (/ -1/12 s)) -1/2)) (neg s)) x)>
#<alt (+ (* x (+ (* x (/ -1/12 s)) -1/2)) (neg s))>
#<alt (+ (* x (/ -1/12 s)) -1/2)>
#<alt (/ -1/12 s)>
#<alt (+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6)))>
#<alt (* (* s s) (/ s (+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6)))))>
#<alt (* s s)>
#<alt (/ s (+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6))))>
#<alt (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2)>
#<alt (/ 1 (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2))>
#<alt (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))>
#<alt (/ x (* s s))>
#<alt (* (E) (E))>
#<alt (* x -1/6)>
#<alt (+ (* -1/6 (/ x s)) 1/2)>
Outputs
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
#<alt (* -1/3 (/ x s))>
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#<alt (pow s 2)>
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#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt (/ -1 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (* -1/6 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ x s))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
Calls

108 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))
1.0ms
s
@inf
(/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))))
1.0ms
x
@0
(/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))))
1.0ms
s
@-inf
(/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))))
1.0ms
x
@inf
(/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))))

rewrite698.0ms (5.4%)

Memory
-223.1MiB live, 803.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 180×*-lowering-*.f32
6 180×*-lowering-*.f64
5 070×accelerator-lowering-fma.f32
5 070×accelerator-lowering-fma.f64
3 524×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046218
1286196
22430196
09510181
Stop Event
1×iter limit
1×node limit
Counts
21 → 803
Calls
Call 1
Inputs
(* 1/3 (neg (/ x s)))
(/ 1 (+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))))
(+ 1 (pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s)))))
(pow (* (E) (* (E) (E))) (* 1/3 (neg (/ x s))))
(* (/ -1 x) s)
(/ -1 x)
(/ (+ (* x (+ (* x (/ -1/12 s)) -1/2)) (neg s)) x)
(+ (* x (+ (* x (/ -1/12 s)) -1/2)) (neg s))
(+ (* x (/ -1/12 s)) -1/2)
(/ -1/12 s)
(+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6)))
(* (* s s) (/ s (+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6)))))
(* s s)
(/ s (+ (* s (* (* x x) 1/2)) (* (* x x) (* x -1/6))))
(+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2)
(/ 1 (+ (* x (+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))) 2))
(+ (* (/ x (* s s)) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s))
(/ x (* s s))
(* (E) (E))
(* x -1/6)
(+ (* -1/6 (/ x s)) 1/2)
Outputs
(neg.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 1/3 binary32) (/.f32 x s)))
(/.f32 (*.f32 #s(literal 1/3 binary32) x) (neg.f32 s))
(/.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 x)) s)
(/.f32 (*.f32 x #s(literal 1/3 binary32)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1/3 binary32)) s)
(*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))
(*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/3 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/3 binary32) (/.f32 x s)))
(*.f32 #s(literal -1/3 binary32) (/.f32 x s))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 3 binary32) (/.f32 x (neg.f32 s)))))) (fma.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) (-.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 3 binary32) (/.f32 x (neg.f32 s)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) (-.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))
(+.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) (-.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 3 binary32) (/.f32 x (neg.f32 s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) (pow.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) (pow.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 3 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 #s(literal 3 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32))) (pow.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (sqrt.f32 (E.f32))) (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32))) (pow.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (sqrt.f32 (E.f32))) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 #s(literal -1/3 binary32) (/.f32 x s)))) (pow.f32 (pow.f32 (E.f32) #s(literal 7/3 binary32)) (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 3 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32))))) (exp.f32 (*.f32 #s(literal 3 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s))) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x (neg.f32 s))) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (pow.f32 (E.f32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (pow.f32 (E.f32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1 binary32))) (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1 binary32))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (sqrt.f32 (E.f32)) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1 binary32))) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1 binary32))) #s(literal 1 binary32))
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(*.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (*.f32 s s)) (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal -1 binary32)) s)))
(neg.f32 (/.f32 x (*.f32 s (neg.f32 s))))
(neg.f32 (/.f32 (neg.f32 x) (*.f32 s s)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 s s) x)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s s) x) #s(literal -1 binary32))
(pow.f32 (/.f32 s (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s s) x) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 s x) s) #s(literal -1 binary32))
(/.f32 x (*.f32 s s))
(/.f32 (/.f32 x s) s)
(/.f32 (/.f32 x (neg.f32 s)) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) x))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s s) x) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s s) x)))
(/.f32 (neg.f32 x) (*.f32 s (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (*.f32 s s))
(/.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 s s))
(*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s s)))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 s (neg.f32 s))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x s))
(exp.f32 #s(literal 2 binary32))
(pow.f32 (E.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) #s(literal 2/3 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 6 binary32))
(pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (E.f32)) #s(literal 4 binary32))
(pow.f32 (*.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32))))
(cbrt.f32 (*.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))))
(*.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32)))
(*.f32 (E.f32) (E.f32))
(*.f32 (*.f32 (E.f32) (E.f32)) #s(literal 1 binary32))
(*.f32 (exp.f32 #s(literal 2/3 binary32)) (exp.f32 #s(literal 4/3 binary32)))
(*.f32 (exp.f32 #s(literal 2/3 binary32)) (pow.f32 (E.f32) #s(literal 4/3 binary32)))
(*.f32 (exp.f32 #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (E.f32)) (*.f32 (E.f32) (sqrt.f32 (E.f32))))
(*.f32 (sqrt.f32 (E.f32)) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) #s(literal 1 binary32)))
(*.f32 (exp.f32 #s(literal 4/3 binary32)) (exp.f32 #s(literal 2/3 binary32)))
(*.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (sqrt.f32 (E.f32)))
(*.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (exp.f32 #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) #s(literal 1 binary32)) (sqrt.f32 (E.f32)))
(*.f32 (pow.f32 (exp.f32 #s(literal 4/3 binary32)) #s(literal 1 binary32)) (exp.f32 #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) #s(literal 1 binary32)) (exp.f32 #s(literal 1/3 binary32)))
(*.f32 x #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) x)
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (fma.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))) #s(literal -1 binary32))
(fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (fma.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))) (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s)))
(*.f32 (fma.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))

simplify350.0ms (2.7%)

Memory
-9.6MiB live, 620.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 034×accelerator-lowering-fma.f32
6 034×accelerator-lowering-fma.f64
5 282×*-lowering-*.f32
5 282×*-lowering-*.f64
2 752×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07325025
121874778
270734576
081714279
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
(* -1/3 (/ x s))
1/2
(+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))) (* 1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2)))))) (* -1/12 (/ (log (pow (E) 3)) s)))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/648 (/ (pow (log (pow (E) 3)) 3) (pow s 3))) (+ (* 1/432 (/ (pow (log (pow (E) 3)) 3) (pow s 3))) (* 1/6 (/ (* (log (pow (E) 3)) (+ (* -1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))) (* 1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))))) s)))))) (+ (* -1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))) (* 1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2)))))) (* -1/12 (/ (log (pow (E) 3)) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
1/2
(+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2)))) (pow s 2)))) (* -1/12 (/ (* x (log (pow (E) 3))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/648 (* (pow x 3) (pow (log (pow (E) 3)) 3))) (+ (* 1/432 (* (pow x 3) (pow (log (pow (E) 3)) 3))) (* 1/6 (* x (* (log (pow (E) 3)) (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))))))))) (pow s 3)))) (+ (* -1/12 (/ (* x (log (pow (E) 3))) s)) (+ (* -1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2))) (* 1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2))))))
1/2
(+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) s)) (* 1/72 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) s))) (* 1/12 (* x (log (pow (E) 3))))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* x (* (log (pow (E) 3)) (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2)))))) s)) (+ (* -1/432 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)) (* 1/648 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)))) (+ (* -1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))) (* 1/72 (* (pow x 2) (pow (log (pow (E) 3)) 2))))) s)) (* 1/12 (* x (log (pow (E) 3))))) s)))
2
(+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(+ 2 (* x (+ (* -1/3 (/ (log (pow (E) 3)) s)) (* 1/18 (/ (* x (pow (log (pow (E) 3)) 2)) (pow s 2))))))
(+ 2 (* x (+ (* -1/3 (/ (log (pow (E) 3)) s)) (* x (+ (* -1/162 (/ (* x (pow (log (pow (E) 3)) 3)) (pow s 3))) (* 1/18 (/ (pow (log (pow (E) 3)) 2) (pow s 2))))))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
(+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s))))
2
(+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(+ 2 (+ (* -1/3 (/ (* x (log (pow (E) 3))) s)) (* 1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2)))))
(+ 2 (+ (* -1/3 (/ (* x (log (pow (E) 3))) s)) (+ (* -1/162 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) (pow s 3))) (* 1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2))))))
2
(+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(+ 2 (* -1 (/ (+ (* -1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) s)) (* 1/3 (* x (log (pow (E) 3))))) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)) (* 1/18 (* (pow x 2) (pow (log (pow (E) 3)) 2)))) s)) (* 1/3 (* x (log (pow (E) 3))))) s)))
1
(+ 1 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
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(+ 1 (* x (+ (* -1/3 (/ (log (pow (E) 3)) s)) (* x (+ (* -1/162 (/ (* x (pow (log (pow (E) 3)) 3)) (pow s 3))) (* 1/18 (/ (pow (log (pow (E) 3)) 2) (pow s 2))))))))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
1
(+ 1 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(+ 1 (+ (* -1/3 (/ (* x (log (pow (E) 3))) s)) (* 1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ (* x (log (pow (E) 3))) s)) (+ (* -1/162 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) (pow s 3))) (* 1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) (pow s 2))))))
1
(+ 1 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (* (pow x 2) (pow (log (pow (E) 3)) 2)) s)) (* 1/3 (* x (log (pow (E) 3))))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (* (pow x 3) (pow (log (pow (E) 3)) 3)) s)) (* 1/18 (* (pow x 2) (pow (log (pow (E) 3)) 2)))) s)) (* 1/3 (* x (log (pow (E) 3))))) s)))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
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(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 (/ s x))
(/ (+ (* -1 s) (* -1/2 x)) x)
(/ (+ (* -1 s) (* x (- (* -1/12 (/ x s)) 1/2))) x)
(/ (+ (* -1 s) (* x (- (* -1/12 (/ x s)) 1/2))) x)
(* -1/12 (/ x s))
(* -1 (* x (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* x (- (* -1 (/ s (pow x 2))) (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* x (- (* -1 (/ s (pow x 2))) (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/12 (/ x s))
(* -1 (* x (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ s x)) 1/2) x)) (* 1/12 (/ 1 s)))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ s x)) 1/2) x)) (* 1/12 (/ 1 s)))))
(* -1/12 (/ x s))
(/ (+ (* -1/2 s) (* -1/12 x)) s)
(/ (+ (* -1/12 x) (* s (- (* -1 (/ s x)) 1/2))) s)
(/ (+ (* -1/12 x) (* s (- (* -1 (/ s x)) 1/2))) s)
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1/12 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1/12 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (* -1/12 (/ x s)) 1/2) s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (* -1/12 (/ x s)) 1/2) s)) (/ 1 x))))
(* -1 s)
(- (* -1/2 x) s)
(- (* x (- (* -1/12 (/ x s)) 1/2)) s)
(- (* x (- (* -1/12 (/ x s)) 1/2)) s)
(* -1/12 (/ (pow x 2) s))
(* -1 (* (pow x 2) (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ s (pow x 2))) (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ s (pow x 2))) (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/12 (/ (pow x 2) s))
(* -1 (* (pow x 2) (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ s x)) x)) (* 1/12 (/ 1 s))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ s x)) x)) (* 1/12 (/ 1 s))))
(* -1/12 (/ (pow x 2) s))
(/ (+ (* -1/2 (* s x)) (* -1/12 (pow x 2))) s)
(/ (+ (* -1/12 (pow x 2)) (* s (+ (* -1 s) (* -1/2 x)))) s)
(/ (+ (* -1/12 (pow x 2)) (* s (+ (* -1 s) (* -1/2 x)))) s)
(* -1 s)
(* s (- (* -1/2 (/ x s)) 1))
(* s (- (+ (* -1/2 (/ x s)) (* -1/12 (/ (pow x 2) (pow s 2)))) 1))
(* s (- (+ (* -1/2 (/ x s)) (* -1/12 (/ (pow x 2) (pow s 2)))) 1))
(* -1 s)
(* -1 (* s (+ 1 (* 1/2 (/ x s)))))
(* -1 (* s (+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/12 (/ (pow x 2) s))) s)))))
(* -1 (* s (+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/12 (/ (pow x 2) s))) s)))))
-1/2
(- (* -1/12 (/ x s)) 1/2)
(- (* -1/12 (/ x s)) 1/2)
(- (* -1/12 (/ x s)) 1/2)
(* -1/12 (/ x s))
(* -1 (* x (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/12 (/ x s))
(* -1 (* x (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* 1/12 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/12 (/ x s))
(/ (+ (* -1/2 s) (* -1/12 x)) s)
(/ (+ (* -1/2 s) (* -1/12 x)) s)
(/ (+ (* -1/2 s) (* -1/12 x)) s)
-1/2
(- (* -1/12 (/ x s)) 1/2)
(- (* -1/12 (/ x s)) 1/2)
(- (* -1/12 (/ x s)) 1/2)
-1/2
(- (* -1/12 (/ x s)) 1/2)
(- (* -1/12 (/ x s)) 1/2)
(- (* -1/12 (/ x s)) 1/2)
(/ -1/12 s)
(/ -1/12 s)
(/ -1/12 s)
(/ -1/12 s)
(/ -1/12 s)
(/ -1/12 s)
(/ -1/12 s)
(/ -1/12 s)
(/ -1/12 s)
(/ -1/12 s)
(/ -1/12 s)
(/ -1/12 s)
(* -1/6 (pow x 3))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(* 1/2 (* s (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))))
(* 1/2 (* s (pow x 2)))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(* 1/2 (* s (pow x 2)))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -54 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -162 (/ s (pow x 6))) (* 54 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* (pow s 2) (+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* (pow s 2) (+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2/3 (* s x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* 2 (pow s 2)) (* x (- (* 2/9 x) (* -2/3 s)))) (pow x 2))
(/ (+ (* 2 (pow s 2)) (* x (- (* x (+ 2/9 (* 2/27 (/ x s)))) (* -2/3 s)))) (pow x 2))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -54 (/ (pow s 5) (pow x 2))) (* -6 (pow s 3))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -162 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2))))) (pow x 3))
(* -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)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 162 (/ (pow s 6) x)) (* -54 (pow s 5))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* -6 (/ s (pow x 3)))
(* s (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* s (- (* s (- (* -54 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* s (- (* s (- (* s (- (* -162 (/ s (pow x 6))) (* 54 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(/ 2 (pow x 2))
(+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2))))
(+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))
(+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(/ 2 (pow x 2))
(+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2))))
(+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2))))
(/ 2 (pow x 2))
(/ (+ 2 (* 2/3 (/ x s))) (pow x 2))
(/ (+ 2 (* x (+ (* 2/9 (/ x (pow s 2))) (* 2/3 (/ 1 s))))) (pow x 2))
(/ (+ 2 (* x (+ (* x (+ (* 2/27 (/ x (pow s 3))) (* 2/9 (/ 1 (pow s 2))))) (* 2/3 (/ 1 s))))) (pow x 2))
(* -6 (/ s (pow x 3)))
(/ (+ (* -18 (/ (pow s 2) x)) (* -6 s)) (pow x 3))
(/ (- (+ (* -54 (/ (pow s 3) (pow x 2))) (* -6 s)) (* 18 (/ (pow s 2) x))) (pow x 3))
(/ (- (+ (* -162 (/ (pow s 4) (pow x 3))) (* -6 s)) (+ (* 18 (/ (pow s 2) x)) (* 54 (/ (pow s 3) (pow x 2))))) (pow x 3))
(* -6 (/ s (pow x 3)))
(* -1 (/ (+ (* 6 s) (* 18 (/ (pow s 2) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -54 (/ (pow s 3) x)) (* 18 (pow s 2))) x)) (* 6 s)) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 162 (/ (pow s 4) x)) (* -54 (pow s 3))) x)) (* 18 (pow s 2))) x)) (* 6 s)) (pow x 3)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
Outputs
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
(* -1/3 (/ x s))
(/.f32 (*.f32 #s(literal -1/3 binary32) x) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))
(fma.f32 #s(literal 1/12 binary32) (*.f32 (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) (/.f32 x s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))) (* 1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2)))))) (* -1/12 (/ (log (pow (E) 3)) s)))))
(fma.f32 #s(literal 1/12 binary32) (*.f32 (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) (/.f32 x s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/648 (/ (pow (log (pow (E) 3)) 3) (pow s 3))) (+ (* 1/432 (/ (pow (log (pow (E) 3)) 3) (pow s 3))) (* 1/6 (/ (* (log (pow (E) 3)) (+ (* -1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))) (* 1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))))) s)))))) (+ (* -1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2))) (* 1/72 (/ (pow (log (pow (E) 3)) 2) (pow s 2)))))) (* -1/12 (/ (log (pow (E) 3)) s)))))
(fma.f32 x (fma.f32 x (fma.f32 (neg.f32 x) (*.f32 (pow.f32 (/.f32 (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) s) #s(literal 3 binary32)) #s(literal 1/1296 binary32)) #s(literal 0 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (log.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 x s)) #s(literal -1/3 binary32))))
(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
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(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
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(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
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(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
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(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
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(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
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(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
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(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
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(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
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(/ 1 (+ 1 (exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/12 (/ (* x (log (pow (E) 3))) s)))
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2
#s(literal 2 binary32)
(+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
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2
#s(literal 2 binary32)
(+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
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2
#s(literal 2 binary32)
(+ 2 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
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1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
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(exp (* -1/3 (/ (* x (log (pow (E) 3))) s)))
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1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
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1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ (* x (log (pow (E) 3))) s)))
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(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(/.f32 (-.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (fma.f32 s (*.f32 (*.f32 #s(literal 18 binary32) (pow.f32 s #s(literal 5 binary32))) #s(literal 3 binary32)) (fma.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal 72 binary32) (*.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal -108 binary32)))) (neg.f32 (*.f32 x (*.f32 x x))))) (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal 54 binary32) (*.f32 x x)) (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -36 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal 18 binary32) (pow.f32 s #s(literal 4 binary32))) x)))) (*.f32 x (*.f32 x x)))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (*.f32 #s(literal 18 binary32) (pow.f32 s #s(literal 4 binary32))) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (fma.f32 #s(literal -18 binary32) (pow.f32 s #s(literal 4 binary32)) (*.f32 #s(literal -18 binary32) (/.f32 (pow.f32 s #s(literal 5 binary32)) x))) (neg.f32 x))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 s #s(literal 6 binary32)) (/.f32 #s(literal -108 binary32) x) (fma.f32 s (*.f32 (*.f32 #s(literal -18 binary32) (/.f32 (pow.f32 s #s(literal 5 binary32)) x)) #s(literal -3 binary32)) (fma.f32 (/.f32 (pow.f32 s #s(literal 6 binary32)) x) #s(literal 72 binary32) (*.f32 #s(literal 18 binary32) (pow.f32 s #s(literal 5 binary32)))))) x) (*.f32 #s(literal 18 binary32) (pow.f32 s #s(literal 4 binary32)))) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (fma.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -18 binary32) (pow.f32 x #s(literal 5 binary32)))) (/.f32 #s(literal -18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/48 binary32)) s) (*.f32 x #s(literal 1/4 binary32))) s))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (*.f32 x x) (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (*.f32 x x) (-.f32 (+.f32 (/.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 (*.f32 x x)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32))) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) #s(literal -1 binary32))) s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s) (*.f32 x #s(literal 1/2 binary32))) s)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s) (*.f32 x #s(literal 1/2 binary32))) s)) (neg.f32 s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(/ x (pow s 2))
(/.f32 x (*.f32 s s))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1/6 (/ x s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1/6 (/ x s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
(* -1/6 (/ x s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))

eval133.0ms (1%)

Memory
34.7MiB live, 316.3MiB allocated
Compiler

Compiled 35 921 to 3 885 computations (89.2% saved)

prune230.0ms (1.8%)

Memory
-12.0MiB live, 420.3MiB allocated
Pruning

38 alts after pruning (30 fresh and 8 done)

PrunedKeptTotal
New1 245161 261
Fresh91423
Picked325
Done066
Total1 257381 295
Accuracy
100.0%
Counts
1 295 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓20.7%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
28.4%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
14.5%
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
✓4.5%
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
36.9%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
4.6%
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
36.0%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
6.8%
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
✓21.9%
(/.f32 s (neg.f32 x))
99.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) #s(literal 1 binary32)))
54.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
63.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
63.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
60.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
37.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
37.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
59.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
✓44.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
58.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 #s(literal -1/3 binary32) x) s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
37.0%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))) s) (neg.f32 (*.f32 x (*.f32 x x)))))
15.7%
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (*.f32 s s)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 x x)))))) (neg.f32 (*.f32 x (*.f32 x x)))))
23.4%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
11.5%
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32))))) (-.f32 (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))
35.7%
(*.f32 (/.f32 s (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 s s))
25.8%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
58.8%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
✓21.9%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
35.0%
(*.f32 (*.f32 s s) (/.f32 (fma.f32 #s(literal -18 binary32) (/.f32 (*.f32 s s) x) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
36.0%
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
35.7%
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
36.4%
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
34.7%
(*.f32 (*.f32 s s) (*.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
34.5%
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
✓33.2%
#s(literal 1/2 binary32)
Compiler

Compiled 1 757 to 730 computations (58.5% saved)

regimes208.0ms (1.6%)

Memory
27.2MiB live, 181.5MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
(*.f32 (/.f32 s (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(*.f32 (*.f32 s s) (/.f32 (fma.f32 #s(literal -18 binary32) (/.f32 (*.f32 s s) x) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 s (*.f32 (*.f32 x x) #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 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (*.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))) s) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (*.f32 s s)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 x x)))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x)))))) (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (neg.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32))))) (-.f32 (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))
(/.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) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 #s(literal -1/3 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1/2 binary32))) (pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1/2 binary32)))))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
Calls

7 calls:

95.0ms
s
27.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
23.0ms
(/.f32 (neg.f32 x) s)
18.0ms
(neg.f32 x)
16.0ms
x
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)

regimes128.0ms (1%)

Memory
-3.9MiB live, 199.8MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
(*.f32 (/.f32 s (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(*.f32 (*.f32 s s) (/.f32 (fma.f32 #s(literal -18 binary32) (/.f32 (*.f32 s s) x) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 s (*.f32 (*.f32 x x) #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 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (*.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))) s) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (*.f32 s s)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 x x)))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x)))))) (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (neg.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32))))) (-.f32 (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))
(/.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) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 #s(literal -1/3 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) #s(literal 1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) #s(literal 1 binary32)))
Calls

7 calls:

30.0ms
(/.f32 (neg.f32 x) s)
19.0ms
s
16.0ms
(neg.f32 x)
15.0ms
x
14.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes115.0ms (0.9%)

Memory
-2.7MiB live, 219.3MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
(*.f32 (/.f32 s (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(*.f32 (*.f32 s s) (/.f32 (fma.f32 #s(literal -18 binary32) (/.f32 (*.f32 s s) x) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 s (*.f32 (*.f32 x x) #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 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (*.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))) s) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (*.f32 s s)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 x x)))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x)))))) (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (neg.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32))))) (-.f32 (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))
(/.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) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 #s(literal -1/3 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))))
Calls

7 calls:

20.0ms
x
18.0ms
s
17.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
16.0ms
(/.f32 (neg.f32 x) s)
15.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes116.0ms (0.9%)

Memory
3.4MiB live, 259.4MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
(*.f32 (/.f32 s (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(*.f32 (*.f32 s s) (/.f32 (fma.f32 #s(literal -18 binary32) (/.f32 (*.f32 s s) x) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 s (*.f32 (*.f32 x x) #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 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (*.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))) s) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (*.f32 s s)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 x x)))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x)))))) (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (neg.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32))))) (-.f32 (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))
(/.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) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 #s(literal -1/3 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 #s(literal -1/3 binary32) x) s))))
Calls

7 calls:

22.0ms
x
18.0ms
(/.f32 (neg.f32 x) s)
17.0ms
(neg.f32 x)
17.0ms
s
14.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes149.0ms (1.2%)

Memory
8.4MiB live, 243.3MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
(*.f32 (/.f32 s (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(*.f32 (*.f32 s s) (/.f32 (fma.f32 #s(literal -18 binary32) (/.f32 (*.f32 s s) x) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 s (*.f32 (*.f32 x x) #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 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (*.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))) s) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (*.f32 s s)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 x x)))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x)))))) (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (neg.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32))))) (-.f32 (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))
(/.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) (pow.f32 (E.f32) (neg.f32 (/.f32 x s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

52.0ms
(/.f32 (neg.f32 x) s)
24.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
16.0ms
(neg.f32 x)
15.0ms
s
14.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes111.0ms (0.9%)

Memory
-33.6MiB live, 205.7MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
(*.f32 (/.f32 s (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(*.f32 (*.f32 s s) (/.f32 (fma.f32 #s(literal -18 binary32) (/.f32 (*.f32 s s) x) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 s (*.f32 (*.f32 x x) #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 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (*.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s)))) s) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x s))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (*.f32 s s)))) (*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 x x)))))) (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x)))))) (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (neg.f32 (*.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x x)) (*.f32 s (*.f32 x x))) (neg.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/36 binary32))))) (-.f32 (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

7 calls:

35.0ms
x
14.0ms
s
13.0ms
(neg.f32 x)
13.0ms
(/.f32 (neg.f32 x) s)
11.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
70.0%2x
63.6%1s
71.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
71.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
71.0%2(exp.f32 (/.f32 (neg.f32 x) s))
71.0%2(/.f32 (neg.f32 x) s)
70.0%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes69.0ms (0.5%)

Memory
22.5MiB live, 61.1MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
(*.f32 (/.f32 s (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(*.f32 (*.f32 s s) (/.f32 (fma.f32 #s(literal -18 binary32) (/.f32 (*.f32 s s) x) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 s (*.f32 (*.f32 x x) #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 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (*.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

4 calls:

39.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
11.0ms
(/.f32 (neg.f32 x) s)
9.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
9.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
71.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
71.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
71.0%2(exp.f32 (/.f32 (neg.f32 x) s))
71.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes88.0ms (0.7%)

Memory
-20.0MiB live, 103.9MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
(*.f32 (/.f32 s (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(*.f32 (*.f32 s s) (/.f32 (fma.f32 #s(literal -18 binary32) (/.f32 (*.f32 s s) x) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 s (*.f32 (*.f32 x x) #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 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (*.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

6 calls:

36.0ms
x
12.0ms
(/.f32 (neg.f32 x) s)
11.0ms
(neg.f32 x)
10.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
9.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
68.4%2x
68.4%2(neg.f32 x)
68.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
68.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
68.5%2(exp.f32 (/.f32 (neg.f32 x) s))
68.5%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes58.0ms (0.5%)

Memory
17.4MiB live, 93.2MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 s (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32))))))
(*.f32 (*.f32 s s) (/.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 x (*.f32 (*.f32 x #s(literal 1/2 binary32)) s)))))
(*.f32 (/.f32 s (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 s s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(*.f32 (*.f32 s s) (/.f32 (fma.f32 #s(literal -18 binary32) (/.f32 (*.f32 s s) x) (*.f32 s #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) x (*.f32 s (*.f32 (*.f32 x x) #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 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
Calls

6 calls:

12.0ms
(neg.f32 x)
10.0ms
x
9.0ms
(/.f32 (neg.f32 x) s)
9.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
8.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
66.4%2x
66.4%2(neg.f32 x)
67.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
67.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
67.2%2(exp.f32 (/.f32 (neg.f32 x) s))
67.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes43.0ms (0.3%)

Memory
13.1MiB live, 93.1MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(*.f32 (*.f32 s s) (/.f32 s (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
Calls

7 calls:

9.0ms
s
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
6.0ms
(neg.f32 x)
6.0ms
x
6.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
63.5%2x
63.5%2(neg.f32 x)
54.4%1s
65.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.8%2(exp.f32 (/.f32 (neg.f32 x) s))
65.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes19.0ms (0.1%)

Memory
-32.3MiB live, 45.5MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/12 binary32) s) #s(literal -1/2 binary32)) (neg.f32 s)) x)
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
Calls

4 calls:

5.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
64.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
64.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.9%2(exp.f32 (/.f32 (neg.f32 x) s))
65.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes5.0ms (0%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
Calls

1 calls:

4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
65.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-0.9MiB live, 38.5MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
Outputs
#s(literal 1/2 binary32)
(*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))
Calls

4 calls:

4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
63.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
63.6%2(exp.f32 (/.f32 (neg.f32 x) s))
63.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes24.0ms (0.2%)

Memory
14.0MiB live, 53.7MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s)) x)
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
Calls

6 calls:

5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms
(neg.f32 x)
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
60.5%2x
60.5%2(neg.f32 x)
62.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
62.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
62.7%2(exp.f32 (/.f32 (neg.f32 x) s))
62.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes13.0ms (0.1%)

Memory
-1.5MiB live, 37.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
Outputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
Calls

4 calls:

4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
60.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
60.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
60.6%2(exp.f32 (/.f32 (neg.f32 x) s))
60.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes22.0ms (0.2%)

Memory
6.9MiB live, 46.4MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Calls

7 calls:

3.0ms
s
3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
44.1%1s
51.2%2x
51.2%2(neg.f32 x)
51.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
51.8%2(exp.f32 (/.f32 (neg.f32 x) s))
51.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes69.0ms (0.5%)

Memory
-9.7MiB live, 29.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
Calls

6 calls:

55.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
49.9%2x
49.9%2(neg.f32 x)
50.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.1%2(exp.f32 (/.f32 (neg.f32 x) s))
50.1%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes46.0ms (0.4%)

Memory
-15.0MiB live, 25.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/12 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
Calls

6 calls:

34.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
48.3%2x
48.3%2(neg.f32 x)
48.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
48.5%2(exp.f32 (/.f32 (neg.f32 x) s))
48.5%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes5.0ms (0%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
Outputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
Calls

4 calls:

1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
48.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
48.5%2(exp.f32 (/.f32 (neg.f32 x) s))
48.5%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
(neg.f32 x)
1.0ms
x
1.0ms
s
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
33.2%1s
33.2%1x
33.2%1(neg.f32 x)
33.2%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
33.2%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
33.2%1(exp.f32 (/.f32 (neg.f32 x) s))
33.2%1(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
-37.1MiB live, 1.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
1.0ms
-4.214423656463623
-0.48966583609580994
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.214423656463623
-0.48966583609580994
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
11.756414413452148
65.14083099365234
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.214423656463623
-0.48966583609580994
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
11.756414413452148
65.14083099365234
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5562.3916015625
27787.525390625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5562.3916015625
27787.525390625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5562.3916015625
27787.525390625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5562.3916015625
27787.525390625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5562.3916015625
27787.525390625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.214423656463623
-0.48966583609580994
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.44935715198516846
2.257551908493042
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.44935715198516846
2.257551908493042
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.44935715198516846
2.257551908493042
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify17.0ms (0.1%)

Memory
30.9MiB live, 30.9MiB allocated
Algorithm
1×egg-herbie
Rules
66×*-commutative_binary32
30×+-commutative_binary32
26×neg-sub0_binary32
26×neg-mul-1_binary32
24×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109345
1152345
2174345
3200345
4215345
5223345
6227345
7228345
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 #s(literal -1/3 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (neg.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) #s(literal 1/6 binary32))))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/3 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 (/.f32 x s) (neg.f32 #s(literal 1/3 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 #s(literal -1/3 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 x #s(literal -1/3 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) (exp.f32 (neg.f32 (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 20 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 s s) (/.f32 s (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 10000 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 s (/.f32 #s(literal -1 binary32) x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 s x)))
#s(literal 1/2 binary32)

soundness2.4s (18.4%)

Memory
-26.5MiB live, 1 656.3MiB allocated
Rules
40 054×accelerator-lowering-fma.f32
40 054×accelerator-lowering-fma.f64
12 794×accelerator-lowering-fma.f32
12 794×accelerator-lowering-fma.f64
8 464×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043234
1290222
22808212
08337206
032176
1198175
21760175
08212160
06034835
118584537
257614424
088564275
0140758
1378748
21147742
33893722
08438682
046218
1286196
22430196
09510181
0827
14327
225027
3209827
0845626
07214697
121764141
273754113
081703840
07325025
121874778
270734576
081714279
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 878 to 479 computations (45.4% saved)

preprocess141.0ms (1.1%)

Memory
20.4MiB live, 214.9MiB allocated
Compiler

Compiled 716 to 230 computations (67.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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