Logistic function

Time bar (total: 10.1s)

analyze40.0ms (0.4%)

Memory
-20.4MiB live, 178.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample993.0ms (9.8%)

Memory
40.7MiB live, 1 846.1MiB allocated
Samples
743.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 521.0ms
ival-div: 135.0ms (25.9% of total)
const: 119.0ms (22.8% of total)
ival-exp: 70.0ms (13.4% of total)
ival-<=: 68.0ms (13.1% of total)
ival-neg: 63.0ms (12.1% of total)
ival-add: 40.0ms (7.7% of total)
ival-and: 11.0ms (2.1% of total)
exact: 11.0ms (2.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess33.0ms (0.3%)

Memory
9.3MiB live, 47.8MiB allocated
Algorithm
1×egg-herbie
Rules
204×exp-prod
124×exp-sum
120×times-frac
92×associate-/r*
66×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

explain100.0ms (1%)

Memory
-11.9MiB live, 170.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15(2.1748952312377125e-18 1.2188899721435966e-20)1(-4.731797050107222e-32 6.2312597378654445e-34)(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))sensitivity53
Confusion
Predicted +Predicted -
+01
-5250
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-52248
Precision?
0.125
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.1% of total)
ival-exp: 4.0ms (23.5% of total)
ival-neg: 3.0ms (17.6% of total)
ival-add: 2.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify9.0ms (0.1%)

Memory
-26.3MiB live, 11.2MiB 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×lower-*.f64
32×lower-+.f64
32×lower-*.f32
30×lower-+.f32
26×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01330
12130
23130
34430
45630
57030
69130
711230
811630
011630
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (/.f32 x (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 x)
x
s

localize27.0ms (0.3%)

Memory
1.7MiB live, 41.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓accuracy99.8%
(exp.f32 (/.f32 (neg.f32 x) s))
Samples
15.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

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

series9.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))>
#<alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))>
#<alt (exp.f32 (/.f32 (neg.f32 x) s))>
#<alt (/.f32 (neg.f32 x) s)>
#<alt (neg.f32 x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x 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
s
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@0
(exp (/ (neg x) s))
1.0ms
x
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))

rewrite301.0ms (3%)

Memory
13.6MiB live, 516.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 358×lower-/.f64
4 354×lower-/.f32
3 830×lower-fma.f64
3 830×lower-fma.f32
3 688×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
14827
225527
3210127
0846526
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 710
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
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(/.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)))

simplify754.0ms (7.5%)

Memory
48.3MiB live, 1 055.1MiB allocated
Algorithm
1×egg-herbie
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
4 544×lower-*.f64
4 544×lower-*.f32
2 942×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
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)

eval83.0ms (0.8%)

Memory
-44.9MiB live, 174.8MiB allocated
Compiler

Compiled 21 079 to 2 699 computations (87.2% saved)

prune121.0ms (1.2%)

Memory
25.6MiB live, 226.1MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New8099818
Fresh000
Picked011
Done000
Total80910819
Accuracy
99.9%
Counts
819 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
53.1%
(/.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)))
▶57.4%
(/.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)))
▶40.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
55.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
59.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶32.7%
#s(literal 1/2 binary32)
Compiler

Compiled 269 to 186 computations (30.9% saved)

simplify386.0ms (3.8%)

Memory
-33.5MiB live, 513.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
✓cost-diff64
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
✓cost-diff352
(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
✓cost-diff3328
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
✓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 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
(E.f32)
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓cost-diff32
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
Rules
13 382×lower-fma.f64
13 376×lower-fma.f32
5 084×lower-*.f64
5 080×lower-*.f32
2 168×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030204
056189
199183
2244181
3613181
41508175
54299175
08373171
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(E.f32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 1 binary32)
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
#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))
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))
(/.f32 x (*.f32 s s))
(*.f32 s s)
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(neg.f32 x)
x
(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) s)
s
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(exp.f32 (/.f32 (neg.f32 x) s))
(E.f32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 1 binary32)
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) #s(literal 2 binary32))
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))
(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))
(/.f32 x (*.f32 s s))
(*.f32 s s)
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(exp.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)))
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 x (/.f32 #s(literal -1/2 binary32) s))
(neg.f32 x)
x
(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(/.f32 #s(literal 1/2 binary32) s)
(/.f32 #s(literal 1 binary32) s)
s
#s(literal 2 binary32)

localize177.0ms (1.8%)

Memory
-12.4MiB live, 143.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
✓accuracy99.8%
(exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
✓accuracy99.7%
(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
✓accuracy99.4%
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
✓accuracy98.9%
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
✓accuracy98.5%
(/.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)))
✓accuracy95.8%
(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))
✓accuracy92.2%
(/.f32 x (*.f32 s s))
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy96.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy100.0%
(E.f32)
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓accuracy99.8%
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
Samples
91.0ms256×0valid
Compiler

Compiled 215 to 35 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-add: 29.0ms (39.3% of total)
ival-div: 16.0ms (21.7% of total)
ival-mult: 10.0ms (13.5% of total)
ival-pow: 5.0ms (6.8% of total)
const: 4.0ms (5.4% of total)
ival-exp: 2.0ms (2.7% of total)
ival-e: 2.0ms (2.7% of total)
ival-pow2: 2.0ms (2.7% of total)
ival-sub: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
32.2MiB live, 32.2MiB allocated
Counts
17 → 372
Calls
Call 1
Inputs
#<alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))>
#<alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))>
#<alt (E.f32)>
#<alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))>
#<alt (-.f32 #s(literal 2 binary32) (/.f32 x s))>
#<alt (/.f32 x s)>
#<alt (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))>
#<alt (fma.f32 (/.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))>
#<alt (/.f32 x (*.f32 s s))>
#<alt (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))>
#<alt (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))>
#<alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))>
#<alt (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1/2>
#<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 1/2>
#<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 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt (/ -1 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>
#<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 (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<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)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (/ 1/2 s)>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt (* -1/2 (/ x s))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ 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 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 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)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (* -1/6 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ x s))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))>
Calls

93 calls:

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

rewrite312.0ms (3.1%)

Memory
20.1MiB live, 362.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 096×lower-*.f64
5 092×lower-*.f32
3 260×lower-/.f64
3 242×lower-/.f32
2 358×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030152
056138
1258129
22001129
08698127
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 595
Calls
Call 1
Inputs
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
(E.f32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(fma.f32 (/.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))
(/.f32 x (*.f32 s s))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
Outputs
(exp.f32 (/.f32 x (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x)))) (/.f32 #s(literal 1/2 binary32) s)))
(exp.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(exp.f32 (*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) s))))
(exp.f32 (*.f32 (neg.f32 x) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) s))))
(pow.f32 (E.f32) (/.f32 x (neg.f32 s)))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (exp.f32 (neg.f32 x)) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32))))
(pow.f32 (exp.f32 (neg.f32 x)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32))))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (/.f32 x (neg.f32 s))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s))))
(pow.f32 (sqrt.f32 (E.f32)) (+.f32 (/.f32 x (neg.f32 s)) (/.f32 x (neg.f32 s))))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))
(pow.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s)) (*.f32 (neg.f32 x) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s)) (+.f32 (neg.f32 x) (neg.f32 x)))
(pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 #s(literal 1/2 binary32) s))
(pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) s))))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) x) (neg.f32 (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (neg.f32 x)) (/.f32 #s(literal 1/2 binary32) s))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal 1/2 binary32) (neg.f32 x)))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 #s(literal -1 binary32) s)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (pow.f32 (E.f32) (*.f32 (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 x))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) x)
(pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s)) (exp.f32 (/.f32 #s(literal 1/2 binary32) s))) (neg.f32 x))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (*.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) #s(literal 2 binary32))))
(/.f32 (pow.f32 (E.f32) (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 x s)))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 x s)))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))
(*.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(*.f32 (exp.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) (exp.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(*.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32)))) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))))
(*.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (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) (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.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)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))))
(+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) (exp.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) #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 (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 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 (neg.f32 s)))) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32)))) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))))
(/.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32))
(/.f32 (+.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) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 (-.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)))))
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(fma.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))
(-.f32 (/.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) #s(literal -1/4 binary32))))
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s 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 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(*.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(exp.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s))) (neg.f32 x)))
(exp.f32 (*.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32))))
(fabs.f32 (exp.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(pow.f32 (E.f32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))
(pow.f32 (E.f32) (+.f32 (/.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) #s(literal 2 binary32)) (/.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1/2 binary32) s))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) #s(literal 2 binary32)))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(pow.f32 (sqrt.f32 (E.f32)) (/.f32 x (neg.f32 s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s)) (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32))))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 x) (neg.f32 (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)) x)
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (*.f32 (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 1 binary32) (neg.f32 x))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal 1/2 binary32) (neg.f32 x)))
(pow.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) x)
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal 1/2 binary32) (neg.f32 x)))
(pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) x)
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -2 binary32))))
(/.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 0 binary32) s)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)))
(sqrt.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(*.f32 (exp.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))) #s(literal 1 binary32))
(*.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) (pow.f32 (pow.f32 (E.f32) #s(literal 1/6 binary32)) (/.f32 x (neg.f32 s))))
(*.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)))) (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (E.f32))) (/.f32 x (neg.f32 s))) (pow.f32 (sqrt.f32 (sqrt.f32 (E.f32))) (/.f32 x (neg.f32 s))))
(*.f32 (sqrt.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s))))) (sqrt.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s))))))

simplify351.0ms (3.5%)

Memory
-2.5MiB live, 598.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 202×lower-fma.f64
9 202×lower-fma.f32
4 886×lower-*.f64
4 886×lower-*.f32
2 802×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06603962
120153379
260843317
083073146
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 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))))))))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 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))))))
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) 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)))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+ 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)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(- (+ 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))))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))
(+ 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)))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 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))))))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 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))))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) 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)))
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)
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
(+ 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))))
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
(* -1/2 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ 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 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 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)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
1
(+ 1 (* -1/2 (/ x s)))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))
Outputs
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))))))
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 1 binary32))
(+ 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 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ (* x (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)))))
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 1 binary32))
(+ 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))))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (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 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) 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 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 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 (log (E))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
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(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.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 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 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/16 binary32)) s)) (neg.f32 s))) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1/6 (/ x s))
(*.f32 x (/.f32 #s(literal -1/6 binary32) s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* -1/6 (/ x s))
(*.f32 x (/.f32 #s(literal -1/6 binary32) s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 x (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 x (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 x (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1/6 (/ x s))
(*.f32 x (/.f32 #s(literal -1/6 binary32) s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* 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)) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) s)) #s(literal 1 binary32))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/8 binary32)) (*.f32 s s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/8 binary32)) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/8 binary32)) s)) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/48 binary32) (*.f32 x (*.f32 x #s(literal 1/8 binary32)))) s)) s))

eval148.0ms (1.5%)

Memory
-27.0MiB live, 220.4MiB allocated
Compiler

Compiled 18 797 to 2 544 computations (86.5% saved)

prune114.0ms (1.1%)

Memory
29.9MiB live, 341.5MiB allocated
Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New999261 025
Fresh314
Picked145
Done011
Total1 003321 035
Accuracy
100.0%
Counts
1 035 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
18.9%
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x) (neg.f32 s)) x)
36.4%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
▶19.9%
(/.f32 s (neg.f32 x))
40.2%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
59.4%
(/.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)))
30.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 s s))) (*.f32 (neg.f32 (*.f32 s s)) x)) (*.f32 (neg.f32 (*.f32 s s)) (neg.f32 (*.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)))
✓57.4%
(/.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)))
42.0%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s 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 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
42.0%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
57.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
▶55.3%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
56.4%
(/.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)))
52.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 s #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
53.3%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
52.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
36.4%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
36.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
21.2%
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
52.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)))
42.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))
✓40.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) 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) (/.f32 x (neg.f32 s))))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶38.5%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
59.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
34.2%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
▶18.4%
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
✓32.7%
#s(literal 1/2 binary32)
Compiler

Compiled 1 089 to 706 computations (35.2% saved)

simplify276.0ms (2.7%)

Memory
-8.5MiB live, 433.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
✓cost-diff192
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
✓cost-diff544
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
✓cost-diff0
(/.f32 x (*.f32 s s))
✓cost-diff0
(fma.f32 (/.f32 x (*.f32 s 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)) #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)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(/.f32 s (*.f32 x x))
✓cost-diff0
(fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x))
✓cost-diff160
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
✓cost-diff0
(neg.f32 x)
✓cost-diff0
(/.f32 s (neg.f32 x))
✓cost-diff0
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
✓cost-diff3328
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))
Rules
7 306×lower-fma.f64
7 300×lower-fma.f32
4 270×lower-/.f64
4 248×lower-/.f32
3 448×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036262
066250
1129246
2295240
3608234
41045228
51648228
62962228
76182226
08349218
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
#s(literal -1/2 binary32)
(/.f32 x s)
x
s
#s(literal 2 binary32)
(/.f32 s (neg.f32 x))
s
(neg.f32 x)
x
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
s
(fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x))
#s(literal -2 binary32)
(/.f32 s (*.f32 x x))
(*.f32 x x)
x
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
x
(fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))
(/.f32 x (*.f32 s s))
(*.f32 s s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
x
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(*.f32 x x)
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
#s(literal 1/2 binary32)
(*.f32 x (*.f32 s s))
(*.f32 s s)
s
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
#s(literal -1/6 binary32)
(*.f32 s (*.f32 s s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32)))
(+.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))
(exp.f32 (neg.f32 (/.f32 x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
#s(literal -1/2 binary32)
(/.f32 x s)
x
s
#s(literal 2 binary32)
(/.f32 s (neg.f32 x))
s
(neg.f32 x)
x
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 s x) (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)))
s
(fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x))
#s(literal -2 binary32)
(/.f32 s (*.f32 x x))
(*.f32 x x)
x
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) #s(literal -2 binary32)))
#s(literal 1 binary32)
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))
x
(fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 x (*.f32 s s))
(*.f32 s s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(*.f32 (*.f32 s s) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 s s))
x
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (*.f32 s s))
(*.f32 x x)
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
#s(literal 1/2 binary32)
(*.f32 x (*.f32 s s))
(*.f32 s s)
s
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
#s(literal -1/6 binary32)
(*.f32 s (*.f32 s s))

localize183.0ms (1.8%)

Memory
-24.2MiB live, 175.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy95.7%
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
✓accuracy88.3%
(*.f32 x (*.f32 s s))
✓accuracy80.7%
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
✓accuracy75.7%
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
✓accuracy99.5%
(fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))
✓accuracy98.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
✓accuracy93.9%
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
✓accuracy92.2%
(/.f32 x (*.f32 s s))
✓accuracy100.0%
(*.f32 x x)
✓accuracy99.8%
(fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x))
✓accuracy95.3%
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
✓accuracy92.5%
(/.f32 s (*.f32 x x))
✓accuracy100.0%
(/.f32 s (neg.f32 x))
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
✓accuracy99.9%
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))
✓accuracy99.8%
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
Samples
77.0ms256×0valid
Compiler

Compiled 271 to 41 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 26.0ms (43% of total)
ival-div: 19.0ms (31.4% of total)
ival-add: 5.0ms (8.3% of total)
const: 4.0ms (6.6% of total)
ival-exp: 2.0ms (3.3% of total)
ival-pow2: 2.0ms (3.3% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
5.8MiB live, 42.9MiB allocated
Counts
19 → 432
Calls
Call 1
Inputs
#<alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32)))>
#<alt (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))>
#<alt (/.f32 s (neg.f32 x))>
#<alt (neg.f32 x)>
#<alt (*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))>
#<alt (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x))>
#<alt (/.f32 s (*.f32 x x))>
#<alt (*.f32 x x)>
#<alt (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))>
#<alt (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))>
#<alt (/.f32 x (*.f32 s s))>
#<alt (*.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)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))>
#<alt (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))>
#<alt (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))>
#<alt (*.f32 x (*.f32 s s))>
Outputs
#<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 (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<alt (pow (exp (* -1/2 (/ x s))) 2)>
#<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)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (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) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))>
#<alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 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)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (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 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2))>
#<alt (+ 1 (pow (exp (* -1/2 (/ x 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)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (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 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt (exp (* -1/2 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (/ s x))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow s 2) (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (/ (+ (* -2 (pow s 2)) (* -1 (* s x))) (pow x 2))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (/ -1 x)>
#<alt (- (* -2 (/ s (pow x 2))) (/ 1 x))>
#<alt (- (* -2 (/ s (pow x 2))) (/ 1 x))>
#<alt (- (* -2 (/ s (pow x 2))) (/ 1 x))>
#<alt (* -2 (/ s (pow x 2)))>
#<alt (* -1 (* s (+ (* 2 (/ 1 (pow x 2))) (/ 1 (* s x)))))>
#<alt (* -1 (* s (+ (* 2 (/ 1 (pow x 2))) (/ 1 (* s x)))))>
#<alt (* -1 (* s (+ (* 2 (/ 1 (pow x 2))) (/ 1 (* s x)))))>
#<alt (* -2 (/ s (pow x 2)))>
#<alt (* -1 (* s (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* s (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* s (+ (/ 1 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (/ s (pow x 2)))>
#<alt (/ (+ (* -2 s) (* -1 x)) (pow x 2))>
#<alt (/ (+ (* -2 s) (* -1 x)) (pow x 2))>
#<alt (/ (+ (* -2 s) (* -1 x)) (pow x 2))>
#<alt (/ -1 x)>
#<alt (/ (- (* -2 (/ s x)) 1) x)>
#<alt (/ (- (* -2 (/ s x)) 1) x)>
#<alt (/ (- (* -2 (/ s x)) 1) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 2 (/ s x))) x))>
#<alt (* -1 (/ (+ 1 (* 2 (/ s x))) x))>
#<alt (* -1 (/ (+ 1 (* 2 (/ s x))) x))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (/ s (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt (/ -1 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2/3 (* s x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* 2 (pow s 2)) (* x (- (* 2/9 x) (* -2/3 s)))) (pow x 2))>
#<alt (/ (+ (* 2 (pow s 2)) (* x (- (* x (+ 2/9 (* 2/27 (/ x s)))) (* -2/3 s)))) (pow x 2))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -54 (/ (pow s 5) (pow x 2))) (* -6 (pow s 3))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -162 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -54 (/ (pow s 5) x)) (* -18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -18 (pow s 4)) (* -1 (/ (+ (* 54 (pow s 5)) (* 162 (/ (pow s 6) x))) x))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -54 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -162 (/ s (pow x 6))) (* 54 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ -1/6 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (/ -1/6 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
#<alt (* (pow s 2) x)>
Calls

108 calls:

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

rewrite345.0ms (3.4%)

Memory
5.5MiB live, 563.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 334×lower-/.f64
4 312×lower-/.f32
4 132×lower-fma.f64
4 126×lower-fma.f32
4 110×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036198
066190
1270180
22323175
08342171
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 779
Calls
Call 1
Inputs
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(/.f32 s (neg.f32 x))
(neg.f32 x)
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
(fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x))
(/.f32 s (*.f32 x x))
(*.f32 x x)
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))
(/.f32 x (*.f32 s s))
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(*.f32 x (*.f32 s s))
Outputs
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 x s) (/.f32 x s))))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s))))
(pow.f32 (exp.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
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(/.f32 (neg.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) #s(literal 1 binary32)))) (neg.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 s s)) (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 s s) (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (*.f32 (neg.f32 (*.f32 s (*.f32 s s))) (*.f32 s s))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (neg.f32 (*.f32 x (*.f32 s s))) (*.f32 (*.f32 s s) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (neg.f32 (*.f32 x (*.f32 s s))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)) (*.f32 (*.f32 s s) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 (*.f32 x (*.f32 s s)) #s(literal 2 binary32)))))
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(/.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)))) (neg.f32 (neg.f32 (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))))
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(/.f32 (neg.f32 (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)) (*.f32 x (*.f32 s s)))) (neg.f32 (*.f32 s (*.f32 s s))))
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(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s)))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))))
(*.f32 x (*.f32 s s))
(*.f32 s (*.f32 x s))
(*.f32 (*.f32 s s) x)
(*.f32 (*.f32 x s) s)

simplify437.0ms (4.3%)

Memory
19.6MiB live, 722.5MiB allocated
Algorithm
1×egg-herbie
Rules
11 610×lower-fma.f64
11 610×lower-fma.f32
5 356×lower-*.f64
5 356×lower-*.f32
4 060×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05224451
114754199
245173995
087093818
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
1
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(pow (exp (* -1/2 (/ x s))) 2)
1
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1
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(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -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 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -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 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* 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)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 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 (/ (+ (* -18 (pow s 4)) (* -1 (/ (+ (* 54 (pow s 5)) (* 162 (/ (pow s 6) x))) x))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -54 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -162 (/ s (pow x 6))) (* 54 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* (pow s 2) (+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* (pow s 2) (+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ 1/2 (* (pow s 2) x))
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)) #s(literal 1 binary32))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 x (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
(fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/480 binary32) (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.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 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 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (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 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s) #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/16 binary32)) s)) s) (*.f32 x #s(literal 1/4 binary32))) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)) #s(literal 2 binary32))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.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 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
(fma.f32 x (fma.f32 x (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #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)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(+ 1 (* 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)) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) s)) #s(literal 1 binary32))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(exp (* -1/2 (/ x s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
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(*.f32 (*.f32 x (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 s s))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) (*.f32 s s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) (*.f32 s s))
(/ 1/2 (* (pow s 2) x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 s x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))
(/ 1/2 (* (pow s 2) x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ 1/2 (* (pow s 2) x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))
(* (pow s 2) x)
(*.f32 x (*.f32 s s))

eval129.0ms (1.3%)

Memory
16.8MiB live, 371.7MiB allocated
Compiler

Compiled 28 184 to 3 325 computations (88.2% saved)

prune161.0ms (1.6%)

Memory
-6.1MiB live, 521.6MiB allocated
Pruning

36 alts after pruning (29 fresh and 7 done)

PrunedKeptTotal
New1 216161 232
Fresh91322
Picked325
Done055
Total1 228361 264
Accuracy
100.0%
Counts
1 264 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
35.1%
(/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 s (/.f32 (*.f32 s s) x)) (*.f32 s (*.f32 s #s(literal 2 binary32)))) (*.f32 x x))
36.4%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
33.9%
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) (*.f32 x x))
35.9%
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
✓19.9%
(/.f32 s (neg.f32 x))
59.4%
(/.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)))
30.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 s s))) (*.f32 (neg.f32 (*.f32 s s)) x)) (*.f32 (neg.f32 (*.f32 s s)) (neg.f32 (*.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)))
✓57.4%
(/.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)))
42.0%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s 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 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
42.0%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
52.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 s #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
55.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
53.3%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
▶52.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
▶17.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))))
37.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
✓40.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) 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) (/.f32 x (neg.f32 s))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
18.8%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 s s))) (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)) s)))
39.4%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
38.7%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))))
39.8%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
21.2%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
59.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶19.9%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
34.2%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
35.1%
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
▶18.6%
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
23.4%
(*.f32 s (/.f32 (fma.f32 s #s(literal -2 binary32) (neg.f32 x)) (*.f32 x x)))
30.3%
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
✓32.7%
#s(literal 1/2 binary32)
Compiler

Compiled 1 195 to 743 computations (37.8% saved)

simplify264.0ms (2.6%)

Memory
-13.8MiB live, 548.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)))
✓cost-diff320
(fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))
✓cost-diff320
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))))
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
✓cost-diff0
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))
✓cost-diff0
(fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 #s(literal -2 binary32) x)
✓cost-diff0
(fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x)
✓cost-diff0
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
✓cost-diff0
(/.f32 #s(literal -1 binary32) x)
✓cost-diff96
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓cost-diff0
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
✓cost-diff2880
(pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32))
Rules
6 904×lower-*.f64
6 874×lower-*.f32
2 938×lower-fma.f64
2 932×lower-fma.f32
1 918×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039323
073287
1146279
2402257
31632241
44475241
55204241
66506241
76712241
86957241
08575235
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32))
(*.f32 (E.f32) (E.f32))
(E.f32)
#s(literal -1 binary32)
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
x
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
x
s
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
s
(/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x)
(fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))
(/.f32 #s(literal -2 binary32) x)
#s(literal -2 binary32)
x
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
x
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
#s(literal -1/6 binary32)
(*.f32 x x)
(*.f32 s (*.f32 s s))
s
(*.f32 s s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))))
#s(literal 1 binary32)
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))
(*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)))
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))
(*.f32 (*.f32 s s) #s(literal -1/6 binary32))
(*.f32 s s)
s
#s(literal -1/6 binary32)
(*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)
(*.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))
(*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))
(pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32)))
(*.f32 (E.f32) (E.f32))
(E.f32)
#s(literal -1 binary32)
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(/.f32 (*.f32 x #s(literal 1/2 binary32)) s)
x
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 s (neg.f32 x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
x
s
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
(/.f32 (*.f32 s (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))) x)
s
(/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x)
(fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))
(/.f32 #s(literal -2 binary32) x)
#s(literal -2 binary32)
x
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
(fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))))) #s(literal 2 binary32))
x
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))
(*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s)))))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
#s(literal -1/6 binary32)
(*.f32 x x)
(*.f32 s (*.f32 s s))
s
(*.f32 s s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))))
(/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 (*.f32 x (*.f32 s s)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s)))))
#s(literal 1 binary32)
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))
(/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 s s)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s)))) (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))))
(*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)))
(*.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 s s)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))))
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))
(*.f32 (*.f32 s s) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s)))
(*.f32 (*.f32 s s) #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 s s))
(*.f32 s s)
s
#s(literal -1/6 binary32)
(*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)
(*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))
(*.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))
(*.f32 (*.f32 s s) (*.f32 x (*.f32 s (*.f32 s s))))
(*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s (*.f32 s (*.f32 s s))))
(*.f32 s (*.f32 s s))

localize174.0ms (1.7%)

Memory
1.3MiB live, 353.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy94.7%
(*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))
✓accuracy88.5%
(fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))
✓accuracy88.3%
(*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)))
✓accuracy58.3%
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))
✓accuracy99.2%
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
✓accuracy98.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
✓accuracy95.8%
(fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
✓accuracy81.8%
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))
✓accuracy100.0%
(/.f32 #s(literal -2 binary32) x)
✓accuracy99.8%
(/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x)
✓accuracy99.4%
(fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))
✓accuracy95.3%
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
✓accuracy100.0%
(/.f32 #s(literal -1 binary32) x)
✓accuracy99.0%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
✓accuracy99.8%
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))
✓accuracy99.4%
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
✓accuracy96.9%
(*.f32 (E.f32) (E.f32))
Samples
114.0ms256×0valid
Compiler

Compiled 334 to 44 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 60.0ms (62.3% of total)
ival-div: 17.0ms (17.6% of total)
ival-pow: 7.0ms (7.3% of total)
ival-add: 5.0ms (5.2% of total)
const: 4.0ms (4.2% of total)
ival-e: 2.0ms (2.1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory
5.7MiB live, 84.6MiB allocated
Counts
21 → 420
Calls
Call 1
Inputs
#<alt (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))>
#<alt (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))>
#<alt (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))>
#<alt (*.f32 (/.f32 #s(literal -1 binary32) x) s)>
#<alt (/.f32 #s(literal -1 binary32) x)>
#<alt (*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))>
#<alt (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x)>
#<alt (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))>
#<alt (/.f32 #s(literal -2 binary32) x)>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))>
#<alt (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))>
#<alt (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 x x))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))))>
#<alt (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))>
#<alt (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))>
#<alt (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)))>
#<alt (*.f32 (E.f32) (E.f32))>
#<alt (*.f32 x (/.f32 #s(literal 1/2 binary32) s))>
#<alt (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ (* x (log (/ 1 (pow (E) 2)))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2))) (* 1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2)))))) (* 1/8 (/ (log (/ 1 (pow (E) 2))) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (* (log (/ 1 (pow (E) 2))) (+ (* -1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2))) (* 1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2))))) s)) (+ (* -1/128 (/ (pow (log (/ 1 (pow (E) 2))) 3) (pow s 3))) (* 1/192 (/ (pow (log (/ 1 (pow (E) 2))) 3) (pow s 3))))))) (+ (* -1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2))) (* 1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2)))))) (* 1/8 (/ (log (/ 1 (pow (E) 2))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ (* x (log (/ 1 (pow (E) 2)))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))) (* 1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)))) (pow s 2)))) (* 1/8 (/ (* x (log (/ 1 (pow (E) 2)))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/4 (* x (* (log (/ 1 (pow (E) 2))) (+ (* -1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))) (* 1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))))))) (+ (* -1/128 (* (pow x 3) (pow (log (/ 1 (pow (E) 2))) 3))) (* 1/192 (* (pow x 3) (pow (log (/ 1 (pow (E) 2))) 3))))) (pow s 3)))) (+ (* -1/32 (/ (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)) (pow s 2))) (+ (* 1/32 (/ (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)) (pow s 2))) (* 1/8 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ (* x (log (/ 1 (pow (E) 2)))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)) s))) (* -1/8 (* x (log (/ 1 (pow (E) 2)))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/192 (/ (* (pow x 3) (pow (log (/ 1 (pow (E) 2))) 3)) s)) (+ (* 1/128 (/ (* (pow x 3) (pow (log (/ 1 (pow (E) 2))) 3)) s)) (* 1/4 (/ (* x (* (log (/ 1 (pow (E) 2))) (+ (* -1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))) (* 1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)))))) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))) (* 1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))))) s)) (* -1/8 (* x (log (/ 1 (pow (E) 2)))))) s)))>
#<alt 2>
#<alt (+ 2 (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))>
#<alt (+ 2 (* x (+ (* 1/8 (/ (* x (pow (log (/ 1 (pow (E) 2))) 2)) (pow s 2))) (* 1/2 (/ (log (/ 1 (pow (E) 2))) s)))))>
#<alt (+ 2 (* x (+ (* 1/2 (/ (log (/ 1 (pow (E) 2))) s)) (* x (+ (* 1/48 (/ (* x (pow (log (/ 1 (pow (E) 2))) 3)) (pow s 3))) (* 1/8 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))>
#<alt 2>
#<alt (+ 2 (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))>
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#<alt 2>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt 1/2>
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#<alt 1/2>
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#<alt 1/2>
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#<alt 2>
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#<alt 2>
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#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
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#<alt 2>
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#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
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#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
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#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
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#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
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#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
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#<alt (* (pow x 4) (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))>
#<alt (* -1/6 (* (pow s 2) (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))>
#<alt (* (pow x 4) (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))>
#<alt (* (pow x 4) (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))>
#<alt (* -1/6 (* (pow s 2) (pow x 4)))>
#<alt (* (pow s 2) (+ (* -1/6 (pow x 4)) (* 1/2 (* s (pow x 3)))))>
#<alt (* (pow s 2) (+ (* -1/6 (pow x 4)) (* 1/2 (* s (pow x 3)))))>
#<alt (* (pow s 2) (+ (* -1/6 (pow x 4)) (* 1/2 (* s (pow x 3)))))>
#<alt (* 1/2 (* (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (+ (* -1/6 (/ (pow x 4) s)) (* 1/2 (pow x 3))))>
#<alt (* (pow s 3) (+ (* -1/6 (/ (pow x 4) s)) (* 1/2 (pow x 3))))>
#<alt (* (pow s 3) (+ (* -1/6 (/ (pow x 4) s)) (* 1/2 (pow x 3))))>
#<alt (* 1/2 (* (pow s 3) (pow x 3)))>
#<alt (* -1 (* (pow s 3) (+ (* -1/2 (pow x 3)) (* 1/6 (/ (pow x 4) s)))))>
#<alt (* -1 (* (pow s 3) (+ (* -1/2 (pow x 3)) (* 1/6 (/ (pow x 4) s)))))>
#<alt (* -1 (* (pow s 3) (+ (* -1/2 (pow x 3)) (* 1/6 (/ (pow x 4) s)))))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* 1/2 (/ x s))>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
#<alt (* (pow s 5) x)>
Calls

105 calls:

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

rewrite346.0ms (3.4%)

Memory
28.9MiB live, 549.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 516×lower-*.f64
4 486×lower-*.f32
4 122×lower-/.f64
4 104×lower-/.f32
3 568×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039244
073218
1288188
21909184
08584182
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 896
Calls
Call 1
Inputs
(pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 #s(literal -1 binary32) x)
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
(/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x)
(fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))
(/.f32 #s(literal -2 binary32) x)
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s)))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))
(fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))
(*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)))
(*.f32 (E.f32) (E.f32))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))
Outputs
(exp.f32 #s(literal -2 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32)))) #s(literal -1/2 binary32)))
(pow.f32 (E.f32) #s(literal -2 binary32))
(pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal -6 binary32))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) #s(literal -2/3 binary32))
(pow.f32 (sqrt.f32 (E.f32)) #s(literal -4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32))) #s(literal -1/2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (E.f32) (E.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (E.f32) (E.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (E.f32) (/.f32 #s(literal 1 binary32) (E.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (E.f32))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (E.f32))) (neg.f32 (E.f32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (E.f32) (E.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 #s(literal 1 binary32) (E.f32)))
(*.f32 (exp.f32 #s(literal -2/3 binary32)) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal -2 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (E.f32))) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) #s(literal -2 binary32)) (exp.f32 #s(literal -2/3 binary32)))
(*.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) (sqrt.f32 (E.f32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (E.f32))))
(*.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 (pow.f32 (exp.f32 #s(literal -2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (exp.f32 #s(literal -1/3 binary32)) #s(literal 2 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 s #s(literal 2 binary32)))))))) (/.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 s #s(literal 2 binary32)))))))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 s #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))) #s(literal 3 binary32)))))) (/.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))) #s(literal 3 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) (expm1.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))) #s(literal 3 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 s #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) (expm1.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))) #s(literal 3 binary32)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 s #s(literal 2 binary32)))))))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))) #s(literal 1 binary32))
(*.f32 (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) (expm1.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))) #s(literal 3 binary32)))))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 s #s(literal 2 binary32)))))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))) #s(literal 3 binary32)))))) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) (expm1.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))) #s(literal 3 binary32)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) (expm1.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) 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) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 s #s(literal 2 binary32)))))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 s #s(literal 2 binary32)))))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))
(+.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) (pow.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1/2 binary32)))) (exp.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))))) (exp.f32 (neg.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1/2 binary32))))) (exp.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))))) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1/2 binary32))) s)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (neg.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))))) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) (neg.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))))) #s(literal 1 binary32))
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(*.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 s s)))) (*.f32 (*.f32 (*.f32 x (*.f32 s s)) (*.f32 x (*.f32 s s))) #s(literal 1/36 binary32)))))
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(*.f32 (*.f32 x (*.f32 s (*.f32 s s))) (*.f32 s s))
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(*.f32 (*.f32 (*.f32 x (*.f32 s s)) (*.f32 s s)) s)

simplify306.0ms (3%)

Memory
-11.0MiB live, 503.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 010×lower-fma.f64
7 010×lower-fma.f32
6 532×lower-*.f64
6 532×lower-*.f32
2 092×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05554961
116074677
254704049
087013871
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
1/2
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1/2
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2
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(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(+ 1/2 (* (pow x 3) (+ (* 1/288 (/ (pow x 3) (pow s 6))) (* 1/24 (/ 1 (pow s 3))))))
(+ 1/2 (* (pow x 3) (+ (* (pow x 3) (+ (* 1/3456 (/ (pow x 3) (pow s 9))) (* 1/288 (/ 1 (pow s 6))))) (* 1/24 (/ 1 (pow s 3))))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -864 (/ (pow s 9) (pow x 6))) (* -6 (pow s 3))) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3))
(/ (- (+ (* -10368 (/ (pow s 12) (pow x 9))) (* -6 (pow s 3))) (+ (* 72 (/ (pow s 6) (pow x 3))) (* 864 (/ (pow s 9) (pow x 6))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -864 (/ (pow s 9) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 10368 (/ (pow s 12) (pow x 3))) (* -864 (pow s 9))) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -72 (/ (pow s 3) (pow x 6))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* (pow s 3) (- (* -864 (/ (pow s 3) (pow x 9))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* (pow s 3) (- (* (pow s 3) (- (* -10368 (/ (pow s 3) (pow x 12))) (* 864 (/ 1 (pow x 9))))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(- (+ 1/2 (* 1/288 (/ (pow x 6) (pow s 6)))) (* -1/24 (/ (pow x 3) (pow s 3))))
(- (+ 1/2 (* 1/3456 (/ (pow x 9) (pow s 9)))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* -1/288 (/ (pow x 6) (pow s 6)))))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(+ 1/2 (* -1 (/ (- (* -1/288 (/ (pow x 6) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/3456 (/ (pow x 9) (pow s 3))) (* -1/288 (pow x 6))) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* 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)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -54 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -162 (/ s (pow x 6))) (* 54 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* (pow s 2) (+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* (pow s 2) (+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(* 1/2 (pow s 3))
(+ (* -1/6 (* (pow s 2) x)) (* 1/2 (pow s 3)))
(+ (* -1/6 (* (pow s 2) x)) (* 1/2 (pow s 3)))
(+ (* -1/6 (* (pow s 2) x)) (* 1/2 (pow s 3)))
(* -1/6 (* (pow s 2) x))
(* x (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))
(* x (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))
(* x (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))
(* -1/6 (* (pow s 2) x))
(* -1 (* x (+ (* -1/2 (/ (pow s 3) x)) (* 1/6 (pow s 2)))))
(* -1 (* x (+ (* -1/2 (/ (pow s 3) x)) (* 1/6 (pow s 2)))))
(* -1 (* x (+ (* -1/2 (/ (pow s 3) x)) (* 1/6 (pow s 2)))))
(* -1/6 (* (pow s 2) x))
(* (pow s 2) (+ (* -1/6 x) (* 1/2 s)))
(* (pow s 2) (+ (* -1/6 x) (* 1/2 s)))
(* (pow s 2) (+ (* -1/6 x) (* 1/2 s)))
(* 1/2 (pow s 3))
(* (pow s 3) (+ 1/2 (* -1/6 (/ x s))))
(* (pow s 3) (+ 1/2 (* -1/6 (/ x s))))
(* (pow s 3) (+ 1/2 (* -1/6 (/ x s))))
(* 1/2 (pow s 3))
(* -1 (* (pow s 3) (- (* 1/6 (/ x s)) 1/2)))
(* -1 (* (pow s 3) (- (* 1/6 (/ x s)) 1/2)))
(* -1 (* (pow s 3) (- (* 1/6 (/ x s)) 1/2)))
(* 1/2 (* (pow s 3) (pow x 3)))
(* (pow x 3) (+ (* -1/6 (* (pow s 2) x)) (* 1/2 (pow s 3))))
(* (pow x 3) (+ (* -1/6 (* (pow s 2) x)) (* 1/2 (pow s 3))))
(* (pow x 3) (+ (* -1/6 (* (pow s 2) x)) (* 1/2 (pow s 3))))
(* -1/6 (* (pow s 2) (pow x 4)))
(* (pow x 4) (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))
(* (pow x 4) (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))
(* (pow x 4) (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))
(* -1/6 (* (pow s 2) (pow x 4)))
(* (pow x 4) (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))
(* (pow x 4) (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))
(* (pow x 4) (+ (* -1/6 (pow s 2)) (* 1/2 (/ (pow s 3) x))))
(* -1/6 (* (pow s 2) (pow x 4)))
(* (pow s 2) (+ (* -1/6 (pow x 4)) (* 1/2 (* s (pow x 3)))))
(* (pow s 2) (+ (* -1/6 (pow x 4)) (* 1/2 (* s (pow x 3)))))
(* (pow s 2) (+ (* -1/6 (pow x 4)) (* 1/2 (* s (pow x 3)))))
(* 1/2 (* (pow s 3) (pow x 3)))
(* (pow s 3) (+ (* -1/6 (/ (pow x 4) s)) (* 1/2 (pow x 3))))
(* (pow s 3) (+ (* -1/6 (/ (pow x 4) s)) (* 1/2 (pow x 3))))
(* (pow s 3) (+ (* -1/6 (/ (pow x 4) s)) (* 1/2 (pow x 3))))
(* 1/2 (* (pow s 3) (pow x 3)))
(* -1 (* (pow s 3) (+ (* -1/2 (pow x 3)) (* 1/6 (/ (pow x 4) s)))))
(* -1 (* (pow s 3) (+ (* -1/2 (pow x 3)) (* 1/6 (/ (pow x 4) s)))))
(* -1 (* (pow s 3) (+ (* -1/2 (pow x 3)) (* 1/6 (/ (pow x 4) s)))))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
(* (pow s 5) x)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/8 (/ (* x (log (/ 1 (pow (E) 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2))) (* 1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2)))))) (* 1/8 (/ (log (/ 1 (pow (E) 2))) s)))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (* (log (/ 1 (pow (E) 2))) (+ (* -1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2))) (* 1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2))))) s)) (+ (* -1/128 (/ (pow (log (/ 1 (pow (E) 2))) 3) (pow s 3))) (* 1/192 (/ (pow (log (/ 1 (pow (E) 2))) 3) (pow s 3))))))) (+ (* -1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2))) (* 1/32 (/ (pow (log (/ 1 (pow (E) 2))) 2) (pow s 2)))))) (* 1/8 (/ (log (/ 1 (pow (E) 2))) s)))))
(fma.f32 x (fma.f32 x (*.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) (neg.f32 x)) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/8 (/ (* x (log (/ 1 (pow (E) 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))) (* 1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)))) (pow s 2)))) (* 1/8 (/ (* x (log (/ 1 (pow (E) 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (* x (* (log (/ 1 (pow (E) 2))) (+ (* -1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))) (* 1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))))))) (+ (* -1/128 (* (pow x 3) (pow (log (/ 1 (pow (E) 2))) 3))) (* 1/192 (* (pow x 3) (pow (log (/ 1 (pow (E) 2))) 3))))) (pow s 3)))) (+ (* -1/32 (/ (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)) (pow s 2))) (+ (* 1/32 (/ (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)) (pow s 2))) (* 1/8 (/ (* x (log (/ 1 (pow (E) 2)))) s)))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/8 (/ (* x (log (/ 1 (pow (E) 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)) s))) (* -1/8 (* x (log (/ 1 (pow (E) 2)))))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/192 (/ (* (pow x 3) (pow (log (/ 1 (pow (E) 2))) 3)) s)) (+ (* 1/128 (/ (* (pow x 3) (pow (log (/ 1 (pow (E) 2))) 3)) s)) (* 1/4 (/ (* x (* (log (/ 1 (pow (E) 2))) (+ (* -1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))) (* 1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2)))))) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))) (* 1/32 (* (pow x 2) (pow (log (/ 1 (pow (E) 2))) 2))))) s)) (* -1/8 (* x (log (/ 1 (pow (E) 2)))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -8 binary32) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/384 binary32)) s) (*.f32 x #s(literal 1/4 binary32))) s))
2
#s(literal 2 binary32)
(+ 2 (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(+ 2 (* x (+ (* 1/8 (/ (* x (pow (log (/ 1 (pow (E) 2))) 2)) (pow s 2))) (* 1/2 (/ (log (/ 1 (pow (E) 2))) s)))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 2 (* x (+ (* 1/2 (/ (log (/ 1 (pow (E) 2))) s)) (* x (+ (* 1/48 (/ (* x (pow (log (/ 1 (pow (E) 2))) 3)) (pow s 3))) (* 1/8 (/ (pow (log (/ 1 (pow (E) 2))) 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 (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+ 1 (exp (* 1/2 (/ (* x (log (/ 1 (pow (E) 2)))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
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(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* 1/2 (/ x s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))
(* (pow s 5) x)
(*.f32 x (pow.f32 s #s(literal 5 binary32)))

eval213.0ms (2.1%)

Memory
8.1MiB live, 238.6MiB allocated
Compiler

Compiled 34 505 to 3 347 computations (90.3% saved)

prune248.0ms (2.5%)

Memory
-19.2MiB live, 343.1MiB allocated
Pruning

41 alts after pruning (33 fresh and 8 done)

PrunedKeptTotal
New1 304121 316
Fresh32124
Picked415
Done077
Total1 311411 352
Accuracy
100.0%
Counts
1 352 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
8.9%
(/.f32 (fma.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal -2 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal -4 binary32)))
35.1%
(/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 s (/.f32 (*.f32 s s) x)) (*.f32 s (*.f32 s #s(literal 2 binary32)))) (*.f32 x x))
19.1%
(/.f32 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 s s))) (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 s s)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))))
18.6%
(/.f32 (*.f32 s (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))) x)
36.4%
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
18.4%
(/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 s s)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))))))
35.9%
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
35.9%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
✓19.9%
(/.f32 s (neg.f32 x))
54.5%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) #s(literal 2 binary32)))
59.4%
(/.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)))
30.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 s s))) (*.f32 (neg.f32 (*.f32 s s)) x)) (*.f32 (neg.f32 (*.f32 s s)) (neg.f32 (*.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)))
✓57.4%
(/.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)))
42.0%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s 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 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
42.0%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
52.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 s #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
55.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
53.3%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
52.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) #s(literal -1/6 binary32)) #s(literal 2 binary32)))
54.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
37.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
✓40.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32))) (/.f32 x (*.f32 s #s(literal 2 binary32))))))
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) (/.f32 x (neg.f32 s))))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
39.4%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
38.7%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))))
39.8%
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
21.2%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
59.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓19.9%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
34.2%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
35.1%
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
23.4%
(*.f32 s (/.f32 (fma.f32 s #s(literal -2 binary32) (neg.f32 x)) (*.f32 x x)))
18.6%
(*.f32 s (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) s (neg.f32 x)) x) x))
30.3%
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
30.5%
(*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x))
✓32.7%
#s(literal 1/2 binary32)
Compiler

Compiled 1 752 to 733 computations (58.2% saved)

regimes230.0ms (2.3%)

Memory
20.3MiB live, 210.8MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
(*.f32 s (/.f32 (fma.f32 s #s(literal -2 binary32) (neg.f32 x)) (*.f32 x x)))
(*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x))
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
(/.f32 (*.f32 s (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))) x)
(*.f32 s (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) s (neg.f32 x)) x) x))
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x) (neg.f32 s)) x)
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))))
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.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)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (*.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 #s(literal 0 binary32) (neg.f32 s)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) #s(literal -1/6 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 s (/.f32 (*.f32 s s) x)) (*.f32 s (*.f32 s #s(literal 2 binary32)))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 s #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 s s)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))))))
(/.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 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 s s))) (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 s s)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 s s))) (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s 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 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 s s))) (*.f32 (neg.f32 (*.f32 s s)) x)) (*.f32 (neg.f32 (*.f32 s s)) (neg.f32 (*.f32 s s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 (fma.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal -2 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal -4 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) 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) (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (E.f32) (E.f32))) (/.f32 x (*.f32 s #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

59.0ms
s
44.0ms
(neg.f32 x)
35.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
31.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
27.0ms
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)

regimes206.0ms (2%)

Memory
-23.4MiB live, 234.7MiB allocated
Counts
56 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
(*.f32 s (/.f32 (fma.f32 s #s(literal -2 binary32) (neg.f32 x)) (*.f32 x x)))
(*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x))
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
(/.f32 (*.f32 s (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))) x)
(*.f32 s (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) s (neg.f32 x)) x) x))
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x) (neg.f32 s)) x)
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))))
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.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)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (*.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 #s(literal 0 binary32) (neg.f32 s)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) #s(literal -1/6 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 s (/.f32 (*.f32 s s) x)) (*.f32 s (*.f32 s #s(literal 2 binary32)))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 s #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s s)))) (*.f32 x (*.f32 x (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 s s)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))))))
(/.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 (/.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 x (*.f32 s s))) (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 s s)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s))) (*.f32 x (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 s s)) (*.f32 s s))) (/.f32 (fma.f32 x (*.f32 (*.f32 s s) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 s s)) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s 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 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 s s))) (*.f32 (neg.f32 (*.f32 s s)) x)) (*.f32 (neg.f32 (*.f32 s s)) (neg.f32 (*.f32 s s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (*.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 (fma.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal -2 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal -4 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)))
Calls

7 calls:

50.0ms
x
50.0ms
s
28.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
27.0ms
(neg.f32 x)
20.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
67.3%2x
59.4%1s
68.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
68.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
68.0%2(exp.f32 (/.f32 (neg.f32 x) s))
68.0%2(/.f32 (neg.f32 x) s)
67.3%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes96.0ms (1%)

Memory
-3.6MiB live, 114.2MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
(*.f32 s (/.f32 (fma.f32 s #s(literal -2 binary32) (neg.f32 x)) (*.f32 x x)))
(*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x))
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
(/.f32 (*.f32 s (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))) x)
(*.f32 s (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) s (neg.f32 x)) x) x))
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x) (neg.f32 s)) x)
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))))
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.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)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x (*.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 #s(literal 0 binary32) (neg.f32 s)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s s))))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
Calls

6 calls:

29.0ms
(neg.f32 x)
9.0ms
x
9.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
64.5%2x
64.5%2(neg.f32 x)
66.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
66.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
66.7%2(exp.f32 (/.f32 (neg.f32 x) s))
66.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes40.0ms (0.4%)

Memory
28.8MiB live, 68.8MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
(*.f32 s (/.f32 (fma.f32 s #s(literal -2 binary32) (neg.f32 x)) (*.f32 x x)))
(*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x))
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
(/.f32 (*.f32 s (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))) x)
(*.f32 s (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) s (neg.f32 x)) x) x))
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x) (neg.f32 s)) x)
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))))
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
(/.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)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))
Calls

5 calls:

11.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
8.0ms
(neg.f32 x)
8.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
64.5%2(neg.f32 x)
64.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
64.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.2%2(exp.f32 (/.f32 (neg.f32 x) s))
64.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 37 to 27 computations (27% saved)

regimes87.0ms (0.9%)

Memory
-7.4MiB live, 71.8MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
(*.f32 s (/.f32 (fma.f32 s #s(literal -2 binary32) (neg.f32 x)) (*.f32 x x)))
(*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x))
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
(/.f32 (*.f32 s (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))) x)
(*.f32 s (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) s (neg.f32 x)) x) x))
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x) (neg.f32 s)) x)
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))))
(*.f32 s (fma.f32 #s(literal -2 binary32) (/.f32 s (*.f32 x x)) (/.f32 #s(literal -1 binary32) x)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s))))
Calls

6 calls:

31.0ms
(neg.f32 x)
30.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
7.0ms
x
7.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
64.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
64.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.1%2(exp.f32 (/.f32 (neg.f32 x) s))
64.1%2(/.f32 (neg.f32 x) s)
62.5%2x
62.5%2(neg.f32 x)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes233.0ms (2.3%)

Memory
-9.1MiB live, 29.4MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
(*.f32 s (/.f32 (fma.f32 s #s(literal -2 binary32) (neg.f32 x)) (*.f32 x x)))
(*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x))
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
(/.f32 (*.f32 s (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))) x)
(*.f32 s (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) s (neg.f32 x)) x) x))
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x) (neg.f32 s)) x)
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
Calls

4 calls:

215.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
(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))
63.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes34.0ms (0.3%)

Memory
-10.4MiB live, 29.5MiB 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)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
(*.f32 s (/.f32 (fma.f32 s #s(literal -2 binary32) (neg.f32 x)) (*.f32 x x)))
(*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x))
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
(/.f32 (*.f32 s (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))) x)
(*.f32 s (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) s (neg.f32 x)) x) x))
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x) (neg.f32 s)) x)
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
Outputs
#s(literal 1/2 binary32)
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
Calls

4 calls:

6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
62.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
62.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
62.5%2(exp.f32 (/.f32 (neg.f32 x) s))
62.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes50.0ms (0.5%)

Memory
16.6MiB live, 52.7MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 (*.f32 s s) #s(literal -2 binary32)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
(*.f32 s (/.f32 (fma.f32 s #s(literal -2 binary32) (neg.f32 x)) (*.f32 x x)))
(*.f32 s (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 s x)) x))
(*.f32 s (/.f32 (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) x))
(/.f32 (*.f32 s (fma.f32 s (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))) x)
(*.f32 s (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) s (neg.f32 x)) x) x))
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) x) (neg.f32 s)) x)
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
Calls

7 calls:

17.0ms
(neg.f32 x)
6.0ms
s
6.0ms
x
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
58.7%2x
58.7%2(neg.f32 x)
61.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
61.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
61.6%2(exp.f32 (/.f32 (neg.f32 x) s))
45.2%2s
61.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes4.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
Calls

1 calls:

4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
61.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory
11.7MiB live, 50.1MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
Outputs
#s(literal 1/2 binary32)
(*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x)))
Calls

6 calls:

4.0ms
(+.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)
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
57.3%2x
57.3%2(neg.f32 x)
58.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
58.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
58.0%2(exp.f32 (/.f32 (neg.f32 x) s))
58.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes18.0ms (0.2%)

Memory
5.8MiB live, 45.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Calls

6 calls:

3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
48.4%2x
48.4%2(neg.f32 x)
48.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
48.8%2(exp.f32 (/.f32 (neg.f32 x) s))
48.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes41.0ms (0.4%)

Memory
-9.6MiB live, 34.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
Calls

6 calls:

28.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(neg.f32 x)
3.0ms
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
47.3%2x
47.3%2(neg.f32 x)
47.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.5%2(/.f32 (neg.f32 x) s)
47.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
47.5%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes48.0ms (0.5%)

Memory
-14.3MiB live, 24.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
Outputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
Calls

6 calls:

37.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
46.0%2x
46.0%2(neg.f32 x)
46.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
46.2%2(/.f32 (neg.f32 x) s)
46.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
46.2%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes8.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB 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
s
1.0ms
x
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
32.7%1s
32.7%1x
32.7%1(neg.f32 x)
32.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
32.7%1(/.f32 (neg.f32 x) s)
32.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
32.7%1(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.15675529837608337
3.172645092010498
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
123.12176513671875
567.9534912109375
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.4461205361452966e-36
6.719375817534263e-36
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
0.15675529837608337
3.172645092010498
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
2881.745361328125
2901.559326171875
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
2881.745361328125
2901.559326171875
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
123.12176513671875
567.9534912109375
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
123.12176513671875
567.9534912109375
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
2881.745361328125
2901.559326171875
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
1.12555680971127e-5
0.9966543912887573
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
1.169709324836731
23.870540618896484
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
1.169709324836731
23.870540618896484
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify11.0ms (0.1%)

Memory
-23.3MiB live, 16.2MiB allocated
Algorithm
1×egg-herbie
Rules
40×*-commutative_binary32
12×+-commutative_binary32
10×sub-neg_binary32
8×neg-sub0_binary32
8×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077232
1106232
2117232
3123232
4125232
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/67108864 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(if (<=.f32 (neg.f32 x) #s(literal 6968983/1393796574908163946345982392040522594123776 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/67108864 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2900 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 2900 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200 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 2900 binary32)) #s(literal 1/2 binary32) (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2748779/137438953472 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)
Outputs
(/.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 13421773/67108864 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 13421773/67108864 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 x (*.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 200 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
(if (<=.f32 (neg.f32 x) #s(literal 6968983/1393796574908163946345982392040522594123776 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/67108864 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 13421773/67108864 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 s s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2900 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 2900 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 2900 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 2900 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 200 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200 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 200 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s s) #s(literal 2 binary32)) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2900 binary32)) #s(literal 1/2 binary32) (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 2900 binary32)) #s(literal 1/2 binary32) (*.f32 s (/.f32 (*.f32 s #s(literal -2 binary32)) (*.f32 x x))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2748779/137438953472 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 2748779/137438953472 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 s) x))
#s(literal 1/2 binary32)

soundness1.7s (16.9%)

Memory
2.7MiB live, 1 234.2MiB allocated
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
11 610×lower-fma.f64
11 610×lower-fma.f32
9 202×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05554961
116074677
254704049
087013871
039244
073218
1288188
21909184
08584182
036198
066190
1270180
22323175
08342171
05224451
114754199
245173995
087093818
06603962
120153379
260843317
083073146
0140758
1378748
21147742
33893722
08438682
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×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 565 to 322 computations (43% saved)

preprocess104.0ms (1%)

Memory
27.8MiB live, 189.7MiB allocated
Compiler

Compiled 490 to 170 computations (65.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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