Logistic function

Time bar (total: 11.7s)

analyze37.0ms (0.3%)

Memory
-8.5MiB live, 111.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample923.0ms (7.9%)

Memory
19.7MiB live, 1 989.5MiB allocated
Samples
668.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 484.0ms
ival-div: 139.0ms (28.7% of total)
const: 117.0ms (24.2% of total)
ival-exp: 67.0ms (13.8% of total)
ival-<=: 48.0ms (9.9% of total)
ival-add: 45.0ms (9.3% of total)
ival-neg: 42.0ms (8.7% of total)
ival-and: 11.0ms (2.3% of total)
exact: 11.0ms (2.3% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

preprocess35.0ms (0.3%)

Memory
5.2MiB live, 50.0MiB 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)))))

explain105.0ms (0.9%)

Memory
-22.1MiB live, 158.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
17(5.08873208937777e-32 3.3609654122651706e-34)1(-1.3848362341736834e-35 1.9479115883025387e-37)(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))sensitivity72
Confusion
Predicted +Predicted -
+01
-7248
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-71247
Precision?
0.1111111111111111
Recall?
1.0
Freqs
test
numberfreq
0249
17
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 10.0ms (42.8% of total)
ival-exp: 8.0ms (34.3% of total)
ival-neg: 3.0ms (12.9% of total)
ival-add: 2.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

simplify7.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB 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

localize28.0ms (0.2%)

Memory
-0.5MiB live, 36.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.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
14.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (36.7% of total)
ival-exp: 2.0ms (24.5% of total)
ival-add: 1.0ms (12.2% of total)
ival-neg: 1.0ms (12.2% 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
12.2MiB live, 12.2MiB 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
x
@0
(exp (/ (neg x) s))
1.0ms
s
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))

rewrite322.0ms (2.8%)

Memory
-14.8MiB live, 449.8MiB 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)))

simplify970.0ms (8.3%)

Memory
-199.8MiB live, 1 076.3MiB 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)

eval74.0ms (0.6%)

Memory
32.6MiB live, 186.5MiB allocated
Compiler

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

prune113.0ms (1%)

Memory
-30.4MiB live, 295.6MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New80018818
Fresh000
Picked011
Done000
Total80019819
Accuracy
100.0%
Counts
819 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(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))
30.8%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
99.1%
(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))
46.2%
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
▶51.7%
(/.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)))
54.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
39.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
54.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
50.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
76.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)))
80.4%
(/.f32 #s(literal 1 binary32) (+.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)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
99.7%
(/.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))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
65.4%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))))
▶65.4%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶99.8%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
▶36.6%
#s(literal 1/2 binary32)
Compiler

Compiled 581 to 384 computations (33.9% saved)

simplify309.0ms (2.6%)

Memory
31.5MiB live, 461.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (-.f32 (neg.f32 x) x) s)
✓cost-diff0
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
✓cost-diff3776
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓cost-diff0
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
✓cost-diff288
(/.f32 #s(literal -1 binary32) (/.f32 s x))
✓cost-diff0
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓cost-diff0
(exp.f32 (/.f32 (neg.f32 x) s))
✓cost-diff0
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
✓cost-diff0
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
✓cost-diff6016
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
Rules
9 854×lower-fma.f64
9 850×lower-fma.f32
2 568×lower-*.f64
2 566×lower-*.f32
2 000×lower--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027165
052154
187149
2176149
3322149
4517149
51205149
62881149
74099149
85500149
08063149
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1/2 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 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(/.f32 #s(literal -1 binary32) (/.f32 s x))
#s(literal -1 binary32)
(/.f32 s x)
s
x
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
#s(literal 1 binary32)
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(/.f32 (-.f32 (neg.f32 x) x) s)
(-.f32 (neg.f32 x) x)
(neg.f32 x)
x
s
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1/2 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 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 #s(literal -1 binary32) (/.f32 s x))
(/.f32 (neg.f32 x) s)
#s(literal -1 binary32)
(/.f32 s x)
s
x
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
#s(literal 1 binary32)
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(/.f32 (-.f32 (neg.f32 x) x) s)
(-.f32 (neg.f32 x) x)
(neg.f32 x)
x
s
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)

localize178.0ms (1.5%)

Memory
-10.4MiB live, 171.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
✓accuracy99.7%
(expm1.f32 (/.f32 (neg.f32 x) s))
✓accuracy99.7%
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
✓accuracy95.2%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
✓accuracy99.8%
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))
✓accuracy99.5%
(/.f32 #s(literal -1 binary32) (/.f32 s x))
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.7%
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓accuracy99.6%
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓accuracy98.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.8%
(exp.f32 (/.f32 (neg.f32 x) s))
✓accuracy99.8%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓accuracy95.9%
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
Samples
68.0ms180×0valid
15.0ms76×0exit
Compiler

Compiled 188 to 31 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-exp: 39.0ms (56.2% of total)
ival-div: 13.0ms (18.7% of total)
ival-mult: 4.0ms (5.8% of total)
ival-add: 3.0ms (4.3% of total)
ival-expm1: 3.0ms (4.3% of total)
ival-log1p: 2.0ms (2.9% of total)
ival-neg: 2.0ms (2.9% of total)
ival-sub: 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)

series154.0ms (1.3%)

Memory
-28.5MiB live, 171.3MiB allocated
Counts
18 → 420
Calls
Call 1
Inputs
#<alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))>
#<alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))>
#<alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))>
#<alt (exp.f32 (/.f32 (neg.f32 x) s))>
#<alt (/.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)))>
#<alt (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))>
#<alt (/.f32 x s)>
#<alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))>
#<alt (/.f32 #s(literal -1 binary32) (/.f32 s x))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))>
#<alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))>
#<alt (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))>
#<alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))>
#<alt (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))>
#<alt (/.f32 (-.f32 (neg.f32 x) x) s)>
#<alt (neg.f32 x)>
#<alt (expm1.f32 (/.f32 (neg.f32 x) s))>
Outputs
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))>
#<alt (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))>
#<alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))>
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))>
#<alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))>
#<alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))>
#<alt (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log (+ 1 (exp (* -1 (/ x s))))))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))>
#<alt (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (* -1 (log 2))>
#<alt (- (* 1/2 (/ x s)) (log 2))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))>
#<alt (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log (+ 1 (exp (* -1 (/ x s)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))>
#<alt (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1/2 (/ x s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))>
#<alt (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
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#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))>
Calls

105 calls:

TimeVariablePointExpression
33.0ms
x
@inf
(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
25.0ms
x
@-inf
(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
18.0ms
s
@0
(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
9.0ms
x
@0
(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
1.0ms
s
@0
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))

rewrite355.0ms (3%)

Memory
23.4MiB live, 576.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 612×lower-/.f64
4 596×lower-/.f32
3 910×lower-fma.f64
3 906×lower-fma.f32
3 582×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027132
052122
1210117
21718117
08259117
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 404
Calls
Call 1
Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.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)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(/.f32 (-.f32 (neg.f32 x) x) s)
(neg.f32 x)
(expm1.f32 (/.f32 (neg.f32 x) s))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (exp.f32 (/.f32 x (neg.f32 s)))) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) #s(literal -1 binary32)))
(+.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))
(pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(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 2 binary32)) #s(literal -1/2 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))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))
(fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (exp.f32 (/.f32 x (neg.f32 s))) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) #s(literal -1 binary32)))
(-.f32 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32))) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))) (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (+.f32 x x) s)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))) (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (+.f32 x x) s)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s)))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s)))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))) (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (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) (/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s)))) (*.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s)))) (*.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))) (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))) (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))) (/.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))))
(/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (+.f32 x x) s)))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (neg.f32 (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #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 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal -1 binary32)) (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) #s(literal -1 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))) (neg.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (-.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 (+.f32 x x) s))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) #s(literal -1 binary32))) (neg.f32 (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))))
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(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32))) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))) #s(literal 1 binary32)))
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(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) #s(literal 1 binary32))
(/.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) #s(literal -1 binary32))
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(/.f32 (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32))) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (+.f32 x x) s)) #s(literal -1 binary32)))))
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(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32)))) (neg.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))) #s(literal 1 binary32))
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(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))) #s(literal 2 binary32)))
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(fma.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)) (/.f32 x (neg.f32 s)))
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(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (expm1.f32 (/.f32 (+.f32 x x) s)))
(*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s)))))
(*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))))))
(*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))) (/.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) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s)))))
(*.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (+.f32 x x) s))))))
(*.f32 (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.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 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(*.f32 (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (/.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) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(*.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))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(*.f32 (/.f32 (+.f32 (exp.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 (expm1.f32 (/.f32 x (neg.f32 s))) (/.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 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(*.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32))) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))) #s(literal 1 binary32)))
(*.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(*.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 (exp.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 x) s)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (/.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 (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(expm1.f32 (/.f32 x (neg.f32 s)))
(expm1.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(expm1.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(expm1.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s))) x))

simplify507.0ms (4.3%)

Memory
-3.7MiB live, 661.5MiB allocated
Algorithm
1×egg-herbie
Rules
14 210×lower-fma.f64
14 210×lower-fma.f32
4 808×lower-*.f64
4 808×lower-*.f32
3 482×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06794735
120654094
270614042
082413675
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -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)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* -1 (/ 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 (+ 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)))
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 (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)))
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))))
(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
(+ 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)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
1/2
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
1/2
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(* -1/2 (/ s x))
(/ (+ (* -1/2 s) (* -1/2 x)) x)
(/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)
(/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x))))) (pow s 3))) (+ (* -1/3 (/ x (pow s 2))) (+ (* 1/2 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/3 x))) s)) (+ (* -1/3 (/ (pow x 2) s)) (* 1/6 (/ (pow x 2) s)))) (+ (* -1/2 x) (* 1/3 x))) s)) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -2 (/ x s))
(* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(* -2 (/ x s))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(* -2 (/ x s))
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ 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)
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(- (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))) 1)
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
Outputs
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/480 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (fma.f32 (fma.f32 x (*.f32 #s(literal -1/4 binary32) (*.f32 x (*.f32 x #s(literal 1/4 binary32)))) (fma.f32 x #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/2 binary32)))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 x (*.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x #s(literal 1/4 binary32)))) (fma.f32 x #s(literal 0 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/48 binary32))))) s) s) (*.f32 x #s(literal -1/4 binary32))) s))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(neg.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32))))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/192 binary32) (*.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(neg.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32))))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(-.f32 (-.f32 (*.f32 x #s(literal 0 binary32)) (log.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s) (*.f32 x #s(literal -1/2 binary32))) s))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(neg.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32))))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
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#s(literal 1/2 binary32)
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(* -1/2 (/ s x))
(*.f32 s (/.f32 #s(literal -1/2 binary32) x))
(/ (+ (* -1/2 s) (* -1/2 x)) x)
(/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 x s)) x)
(/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)
(/.f32 (fma.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) (*.f32 s #s(literal -1/2 binary32))) x)
(/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)
(/.f32 (fma.f32 x (fma.f32 x (fma.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) #s(literal 1/90 binary32) (/.f32 #s(literal -1/6 binary32) s)) #s(literal -1/2 binary32)) (*.f32 s #s(literal -1/2 binary32))) x)
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(* -1/2 (/ s x))
(*.f32 s (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(neg.f32 (*.f32 s (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) x))))
(* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 s (neg.f32 (fma.f32 x (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(* s (- (* -1 (/ (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x))))) (pow s 3))) (+ (* -1/3 (/ x (pow s 2))) (+ (* 1/2 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
(*.f32 s (-.f32 (/.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) (*.f32 s (*.f32 s s))) (+.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1/2 binary32) x))))
(* -1/2 (/ s x))
(*.f32 s (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(neg.f32 (*.f32 s (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) x))))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))
(neg.f32 (*.f32 s (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) s))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/3 x))) s)) (+ (* -1/3 (/ (pow x 2) s)) (* 1/6 (/ (pow x 2) s)))) (+ (* -1/2 x) (* 1/3 x))) s)) 1/2) s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 s) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (/.f32 x s) (neg.f32 x)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) s)) (neg.f32 s))) s)))
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(*.f32 x (fma.f32 #s(literal 2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -2 binary32) s)))
(* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal -4/3 binary32) (/.f32 #s(literal 2 binary32) (*.f32 s s))) (/.f32 #s(literal -2 binary32) s)))
(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(*.f32 x (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (pow.f32 s #s(literal 4 binary32))) #s(literal 2/3 binary32) (/.f32 #s(literal -4/3 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 2 binary32) (*.f32 s s))) (/.f32 #s(literal -2 binary32) s)))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s) (*.f32 x #s(literal -2 binary32))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/.f32 (fma.f32 x #s(literal -2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal -4/3 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(/.f32 (fma.f32 x #s(literal -2 binary32) (fma.f32 #s(literal 2/3 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 s (*.f32 s s))) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal -4/3 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))))) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) x)) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -4/3 binary32))) s)) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 x x) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (*.f32 #s(literal -2/3 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s))) (neg.f32 s))) s)) (neg.f32 s))
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) 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)
(* -1 (/ x s))
(neg.f32 (/.f32 x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)) s)
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(*.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)))
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(*.f32 x (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (pow.f32 s #s(literal 4 binary32))) #s(literal 1/24 binary32) (/.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)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(* -1 (/ x s))
(neg.f32 (/.f32 x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))) (neg.f32 x))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(/.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 s (*.f32 s s))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))))) x) s)
(* -1 (/ x s))
(neg.f32 (/.f32 x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) (neg.f32 s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/24 binary32) (pow.f32 x #s(literal 4 binary32))) s)) (neg.f32 s))) s)) (neg.f32 s))

eval178.0ms (1.5%)

Memory
38.5MiB live, 433.7MiB allocated
Compiler

Compiled 46 129 to 5 037 computations (89.1% saved)

prune262.0ms (2.2%)

Memory
-61.8MiB live, 645.5MiB allocated
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New1 932191 951
Fresh4913
Picked325
Done011
Total1 939311 970
Accuracy
100.0%
Counts
1 970 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(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))
▶30.8%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
15.7%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
99.1%
(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))
30.6%
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 #s(literal 2 binary32) (*.f32 s s))) (*.f32 x x))
30.9%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
65.4%
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
51.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal -1 binary32)) #s(literal 2 binary32)))
49.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
51.1%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) x) (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))
51.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
54.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
▶48.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
55.9%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
▶31.0%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
51.1%
(/.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)))
54.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
39.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
50.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
76.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)))
80.4%
(/.f32 #s(literal 1 binary32) (+.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)))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
99.7%
(/.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))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
65.4%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))))
▶30.8%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
33.7%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
65.4%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))))
25.4%
(*.f32 (*.f32 s s) (fma.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
✓36.6%
#s(literal 1/2 binary32)
Compiler

Compiled 1 008 to 662 computations (34.3% saved)

simplify437.0ms (3.7%)

Memory
36.8MiB live, 701.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
✓cost-diff288
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
✓cost-diff320
(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))
✓cost-diff0
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
✓cost-diff0
(*.f32 x x)
✓cost-diff352
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
✓cost-diff512
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s))
✓cost-diff160
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s)))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
✓cost-diff0
(exp.f32 #s(literal -1 binary32))
✓cost-diff0
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
Rules
19 240×lower-fma.f64
19 230×lower-fma.f32
3 950×lower-*.f64
3 938×lower-*.f32
2 656×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034275
065259
1125254
2269245
3528245
41088245
51944243
63617243
77183243
08727231
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 #s(literal -1 binary32)) (/.f32 x s))))
#s(literal 1 binary32)
(+.f32 #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 s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
#s(literal 1 binary32)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s)))
#s(literal 1/2 binary32)
(*.f32 x x)
x
(*.f32 x (neg.f32 s))
(neg.f32 s)
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
#s(literal 1 binary32)
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))
(*.f32 x x)
x
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
(/.f32 #s(literal -1 binary32) (*.f32 x s))
#s(literal -1 binary32)
(*.f32 x s)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
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))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
#s(literal -1/6 binary32)
(/.f32 x (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s s))
s
(*.f32 s s)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
#s(literal 1 binary32)
(+.f32 #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 s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
#s(literal 1 binary32)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s))
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s)))
(*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
#s(literal 1/2 binary32)
(*.f32 x x)
x
(*.f32 x (neg.f32 s))
(*.f32 s (neg.f32 x))
(neg.f32 s)
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(*.f32 s (/.f32 s (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))))
#s(literal 1 binary32)
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))
(/.f32 (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 s s))
(*.f32 x x)
x
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
(/.f32 #s(literal -1 binary32) (*.f32 x s))
#s(literal -1 binary32)
(*.f32 x s)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (neg.f32 s)) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (neg.f32 s)) #s(literal 2 binary32))
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))
(fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
#s(literal -1/6 binary32)
(/.f32 x (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s s))
s
(*.f32 s s)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 2 binary32)

localize172.0ms (1.5%)

Memory
8.6MiB live, 203.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy95.1%
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
✓accuracy93.7%
(/.f32 x (*.f32 s (*.f32 s s)))
✓accuracy87.3%
(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))
✓accuracy75.8%
(fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
✓accuracy99.5%
(/.f32 #s(literal -1 binary32) (*.f32 x s))
✓accuracy97.9%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
✓accuracy90.0%
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
✓accuracy65.5%
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))
✓accuracy100.0%
(neg.f32 s)
✓accuracy99.9%
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s)))
✓accuracy97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
✓accuracy72.5%
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s))
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.4%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
✓accuracy100.0%
(exp.f32 #s(literal -1 binary32))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓accuracy99.8%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
Samples
122.0ms256×0valid
Compiler

Compiled 290 to 41 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 41.0ms (39.2% of total)
ival-div: 37.0ms (35.4% of total)
ival-add: 9.0ms (8.6% of total)
ival-exp: 6.0ms (5.7% of total)
ival-pow: 5.0ms (4.8% of total)
const: 4.0ms (3.8% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory
3.5MiB live, 76.3MiB allocated
Counts
20 → 432
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))>
#<alt (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))>
#<alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))>
#<alt (exp.f32 #s(literal -1 binary32))>
#<alt (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))>
#<alt (/.f32 x s)>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))>
#<alt (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s)))>
#<alt (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s))>
#<alt (*.f32 x x)>
#<alt (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))>
#<alt (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))>
#<alt (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))>
#<alt (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))>
#<alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))>
#<alt (neg.f32 s)>
#<alt (/.f32 #s(literal -1 binary32) (*.f32 x s))>
#<alt (/.f32 x (*.f32 s (*.f32 s s)))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -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)))))>
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#<alt 1/2>
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#<alt (* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1/6 (/ x (pow s 3)))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (/ -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 (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
#<alt (/ x (pow s 3))>
Calls

108 calls:

TimeVariablePointExpression
18.0ms
s
@inf
(* (* x x) (+ (/ 1/2 (* s s)) (/ -1 (* x s))))
7.0ms
s
@-inf
(+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))
3.0ms
s
@inf
(/ 1 (/ (+ (* 1/2 (* x x)) (* x (neg s))) (* s s)))
1.0ms
x
@inf
(+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2)
1.0ms
x
@-inf
(+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))

rewrite414.0ms (3.5%)

Memory
21.0MiB live, 682.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 514×lower-fma.f64
5 504×lower-fma.f32
4 576×lower-/.f64
4 556×lower-/.f32
4 456×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034211
065201
1286191
22531191
08954185
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 823
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(+.f32 #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 s))
(exp.f32 #s(literal -1 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s))
(*.f32 x x)
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
(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))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(neg.f32 s)
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/.f32 x (*.f32 s (*.f32 s s)))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)))
(*.f32 (/.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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s))))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 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 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32)) (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (*.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) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) (expm1.f32 (/.f32 x (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #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 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (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) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.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)))) (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)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal 1 binary32))
(/.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) (expm1.f32 (/.f32 x (neg.f32 s))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))) (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.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 #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) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -2 binary32))) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s))) #s(literal 2 binary32)))
(exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)) (*.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 x (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)))
(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 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) s)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) s))
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(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (*.f32 s s) #s(literal 2 binary32)) (*.f32 x #s(literal -1/6 binary32))))) (neg.f32 (*.f32 (*.f32 (*.f32 s s) #s(literal 2 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s s) (*.f32 x #s(literal -1/6 binary32))))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 s (*.f32 s s)) (*.f32 (neg.f32 (*.f32 s s)) (*.f32 x #s(literal -1/6 binary32))))) (neg.f32 (*.f32 (neg.f32 (*.f32 s s)) (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 x #s(literal -1/6 binary32))))) (neg.f32 (*.f32 s (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 (*.f32 s s) #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (neg.f32 (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s (*.f32 s s)) (neg.f32 (*.f32 s s)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) s (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 s s))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1/2 binary32))) (*.f32 s (*.f32 s s))))) (neg.f32 (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s)))))
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(*.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1/2 binary32))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s))))
(neg.f32 s)
(+.f32 #s(literal 0 binary32) (neg.f32 s))
(pow.f32 (neg.f32 s) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) s)
(-.f32 #s(literal 0 binary32) (/.f32 s #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) s)) (/.f32 (*.f32 s s) (+.f32 #s(literal 0 binary32) s)))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) s)))) (/.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) s)))
(/.f32 s #s(literal -1 binary32))
(/.f32 (neg.f32 s) #s(literal 1 binary32))
(/.f32 (neg.f32 (*.f32 s s)) (+.f32 #s(literal 0 binary32) s))
(/.f32 (*.f32 (neg.f32 s) (*.f32 s s)) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) s))))
(/.f32 (neg.f32 (neg.f32 (*.f32 s s))) (neg.f32 (+.f32 #s(literal 0 binary32) s)))
(/.f32 (neg.f32 (neg.f32 s)) #s(literal -1 binary32))
(/.f32 (neg.f32 (*.f32 (neg.f32 s) (*.f32 s s))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) s)))))
(/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (*.f32 s s))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 s s) (*.f32 #s(literal 0 binary32) (neg.f32 s)))))
(*.f32 #s(literal -1 binary32) s)
(*.f32 s #s(literal -1 binary32))
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)))
(exp.f32 (*.f32 (log.f32 (*.f32 x (neg.f32 s))) #s(literal -1 binary32)))
(pow.f32 (*.f32 x (neg.f32 s)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 x (neg.f32 s)))))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x (neg.f32 s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 #s(literal -1 binary32) x))))
(/.f32 (/.f32 #s(literal -1 binary32) s) x)
(/.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) x)) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal -1 binary32) x))) (neg.f32 (neg.f32 s)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x s)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1 binary32) s))
(*.f32 (pow.f32 (*.f32 x #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(neg.f32 (/.f32 x (*.f32 (neg.f32 s) (*.f32 s s))))
(neg.f32 (/.f32 (neg.f32 x) (*.f32 s (*.f32 s s))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 s (*.f32 s s)) x)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s s) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 s x) (*.f32 s s)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (*.f32 s s))) (/.f32 x (*.f32 (neg.f32 s) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 s (*.f32 s s)) x) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s s) (/.f32 x s))))
(/.f32 x (*.f32 s (*.f32 s s)))
(/.f32 (/.f32 x s) (*.f32 s s))
(/.f32 (/.f32 x s) (neg.f32 (neg.f32 (*.f32 s s))))
(/.f32 (neg.f32 x) (*.f32 (neg.f32 s) (*.f32 s s)))
(/.f32 (/.f32 x (neg.f32 s)) (neg.f32 (*.f32 s s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (*.f32 (neg.f32 s) (*.f32 s s))))
(/.f32 (/.f32 x (*.f32 s s)) s)
(/.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 s (*.f32 s s)))
(/.f32 (/.f32 (/.f32 x s) s) s)
(/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (*.f32 (neg.f32 s) (*.f32 s s)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 (*.f32 (neg.f32 s) (*.f32 s s)))))
(/.f32 (neg.f32 (/.f32 x (*.f32 s s))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (/.f32 x s) s)) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 s (*.f32 s s))))
(*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x (neg.f32 (*.f32 s s))))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 x s) (neg.f32 s)))
(*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 x s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x (*.f32 s s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (/.f32 x s) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (*.f32 s s) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (/.f32 x (neg.f32 s)) (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 s)))
(*.f32 (/.f32 x (neg.f32 s)) (/.f32 (/.f32 #s(literal -1 binary32) s) s))
(*.f32 (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x (*.f32 s s)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1 binary32)))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 s s)))
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x (pow.f32 s #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 s #s(literal 3/2 binary32))))
(*.f32 (/.f32 (neg.f32 x) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) s) (/.f32 x (neg.f32 s)))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1 binary32)) (/.f32 x (*.f32 s s)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (/.f32 x (neg.f32 s)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 s s)) (/.f32 (/.f32 x s) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 x s) (neg.f32 s)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 (/.f32 x s) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 s s)))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 s s)) (/.f32 x #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 x #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 x #s(literal -1 binary32)) (neg.f32 s)) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 (*.f32 x #s(literal -1 binary32)) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))

simplify443.0ms (3.8%)

Memory
-32.2MiB live, 859.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 980×lower-fma.f64
10 980×lower-fma.f32
5 238×lower-*.f64
5 238×lower-*.f32
4 124×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04874525
114154269
243134132
084763960
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
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)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(* -1 (/ s x))
(/ (+ (* -1 s) (* -1/2 x)) x)
(/ (+ (* -1 s) (* x (- (* -1/4 (/ x s)) 1/2))) x)
(/ (+ (* -1 s) (* x (- (* x (- (* -1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))) 1/2))) x)
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* 2 (pow s 2)) (* 8 (/ (pow s 4) (pow x 2)))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* 2 (pow s 2)) (* 16 (/ (pow s 5) (pow x 3)))) (+ (* -8 (/ (pow s 4) (pow x 2))) (* -4 (/ (pow s 3) x)))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (* -8 (/ (pow s 4) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow s 5) x)) (* -8 (pow s 4))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* 8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* s (+ (* 16 (/ s (pow x 5))) (* 8 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1/8 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x)))))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (* -1/4 (/ x s)) 1/2) s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 2) s)) (* -1/4 x)) s)) 1/2) s)) (/ 1 x))))
(* -1 (* s x))
(* x (+ (* -1 s) (* 1/2 x)))
(* x (+ (* -1 s) (* 1/2 x)))
(* x (+ (* -1 s) (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* 1/2 (pow x 2))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(* -1 (* s x))
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(* -1 (* s x))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ s x))
(/ (+ (* -1 s) (* -1/2 x)) x)
(/ (+ (* -1 s) (* x (- (* -1/4 (/ x s)) 1/2))) x)
(/ (+ (* -1 s) (* x (- (* x (- (* -1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))) 1/2))) x)
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* 2 (pow s 2)) (* 8 (/ (pow s 4) (pow x 2)))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* 2 (pow s 2)) (* 16 (/ (pow s 5) (pow x 3)))) (+ (* -8 (/ (pow s 4) (pow x 2))) (* -4 (/ (pow s 3) x)))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (* -8 (/ (pow s 4) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow s 5) x)) (* -8 (pow s 4))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* 8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* s (+ (* 16 (/ s (pow x 5))) (* 8 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1/8 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x)))))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (* -1/4 (/ x s)) 1/2) s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 2) s)) (* -1/4 x)) s)) 1/2) s)) (/ 1 x))))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1 (/ s x))) (pow s 2))
(/ (+ 1/2 (* -1 (/ s x))) (pow s 2))
(/ (+ 1/2 (* -1 (/ s x))) (pow s 2))
(/ -1 (* s x))
(/ (- (* 1/2 (/ 1 s)) (/ 1 x)) s)
(/ (- (* 1/2 (/ 1 s)) (/ 1 x)) s)
(/ (- (* 1/2 (/ 1 s)) (/ 1 x)) s)
(/ -1 (* s x))
(* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) s))
(* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) s))
(* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) s))
(/ -1 (* s x))
(/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) x)
(/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) x)
(/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) x)
(/ 1/2 (pow s 2))
(- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))
(- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))
(- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))
(/ 1/2 (pow s 2))
(- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))
(- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))
(- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))
(/ -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))
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)))
(/ 1/2 (pow s 2))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(* -1/6 (/ x (pow s 3)))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ x (pow s 3)))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1/6 (/ x (pow s 3)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
(/ x (pow s 3))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/480 binary32) (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
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(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))
(/ x (pow s 3))
(/.f32 x (*.f32 s (*.f32 s s)))

eval133.0ms (1.1%)

Memory
44.0MiB live, 417.7MiB allocated
Compiler

Compiled 31 558 to 3 455 computations (89.1% saved)

prune171.0ms (1.5%)

Memory
-15.9MiB live, 593.7MiB allocated
Pruning

43 alts after pruning (38 fresh and 5 done)

PrunedKeptTotal
New1 299221 321
Fresh71623
Picked325
Done033
Total1 309431 352
Accuracy
100.0%
Counts
1 352 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(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))
✓30.8%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
15.3%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s)))))
99.1%
(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))
30.6%
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 #s(literal 2 binary32) (*.f32 s s))) (*.f32 x x))
30.7%
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
30.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
30.5%
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
30.9%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
65.4%
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
▶15.0%
(/.f32 s (neg.f32 x))
51.1%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) x) (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))
51.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
54.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
21.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
39.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) s (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
55.9%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
48.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
47.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
47.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
29.8%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
29.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
▶30.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
51.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
▶54.2%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))
39.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
50.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
76.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)))
80.4%
(/.f32 #s(literal 1 binary32) (+.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)))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
99.7%
(/.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))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
33.7%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
16.0%
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
▶27.7%
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
28.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
65.4%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))))
26.4%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
28.2%
(*.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)))))
27.4%
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
✓36.6%
#s(literal 1/2 binary32)
Compiler

Compiled 1 372 to 889 computations (35.2% saved)

simplify283.0ms (2.4%)

Memory
-2.4MiB live, 399.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff32
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)
✓cost-diff32
(-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s))
✓cost-diff64
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s))
✓cost-diff320
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))))
✓cost-diff0
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
✓cost-diff0
(fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))
✓cost-diff0
(/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
✓cost-diff0
(/.f32 s x)
✓cost-diff192
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
✓cost-diff0
(neg.f32 x)
✓cost-diff0
(/.f32 s (neg.f32 x))
✓cost-diff0
(exp.f32 #s(literal -2 binary32))
✓cost-diff0
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
Rules
8 314×lower-fma.f64
8 308×lower-fma.f32
4 066×lower-*.f64
4 048×lower-*.f32
1 620×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037297
070273
1132273
2263265
3561265
41475265
53766265
65989265
08255253
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 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))
(exp.f32 #s(literal -2 binary32))
#s(literal -2 binary32)
(/.f32 x (*.f32 #s(literal 2 binary32) s))
x
(*.f32 #s(literal 2 binary32) s)
#s(literal 2 binary32)
s
(/.f32 s (neg.f32 x))
s
(neg.f32 x)
x
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 s x)
s
x
(/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
(fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))
#s(literal 1/2 binary32)
(neg.f32 s)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
#s(literal 1 binary32)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))
(*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))))
(*.f32 x x)
x
(fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))
#s(literal 1/2 binary32)
s
(*.f32 x #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 s (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))
#s(literal 1 binary32)
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s))
#s(literal 2 binary32)
(/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)
(-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s))
x
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s))
#s(literal 1/2 binary32)
(*.f32 x x)
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
(*.f32 x (*.f32 x x))
#s(literal -1/6 binary32)
s
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))
(exp.f32 #s(literal -2 binary32))
#s(literal -2 binary32)
(/.f32 x (*.f32 #s(literal 2 binary32) s))
x
(*.f32 #s(literal 2 binary32) s)
#s(literal 2 binary32)
s
(/.f32 s (neg.f32 x))
s
(neg.f32 x)
x
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 s x)
s
x
(/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
(fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))
#s(literal 1/2 binary32)
(neg.f32 s)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
#s(literal 1 binary32)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s (*.f32 s s)))
(*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))))
(*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))
(*.f32 x x)
x
(fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))
(fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))
#s(literal 1/2 binary32)
s
(*.f32 x #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 s (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))
(/.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)
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)
(/.f32 (fma.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/6 binary32) #s(literal -1/2 binary32)) s) x) s)
(-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s))
(fma.f32 (*.f32 x x) (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/6 binary32) #s(literal -1/2 binary32)) s) x)
x
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)
(/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))) (*.f32 s s))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s))
(*.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
#s(literal 1/2 binary32)
(*.f32 x x)
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
(*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))
(*.f32 x (*.f32 x x))
#s(literal -1/6 binary32)
s

localize129.0ms (1.1%)

Memory
29.0MiB live, 261.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))
✓accuracy90.6%
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
✓accuracy89.3%
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s))
✓accuracy89.2%
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)
✓accuracy99.7%
(*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))))
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
✓accuracy98.8%
(*.f32 x #s(literal -1/6 binary32))
✓accuracy68.7%
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))
✓accuracy100.0%
(/.f32 s x)
✓accuracy100.0%
(neg.f32 s)
✓accuracy99.8%
(/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
✓accuracy99.5%
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
✓accuracy100.0%
(/.f32 s (neg.f32 x))
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(exp.f32 #s(literal -2 binary32))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
✓accuracy99.8%
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))
Samples
75.0ms256×0valid
Compiler

Compiled 312 to 42 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 18.0ms (32.1% of total)
ival-mult: 16.0ms (28.6% of total)
ival-add: 5.0ms (8.9% of total)
ival-pow: 5.0ms (8.9% of total)
const: 4.0ms (7.1% of total)
ival-exp: 3.0ms (5.4% of total)
ival-sub: 2.0ms (3.6% of total)
ival-neg: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
-23.4MiB live, 56.9MiB allocated
Counts
22 → 456
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))>
#<alt (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s))))>
#<alt (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))>
#<alt (exp.f32 #s(literal -2 binary32))>
#<alt (/.f32 s (neg.f32 x))>
#<alt (neg.f32 x)>
#<alt (*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))>
#<alt (/.f32 s x)>
#<alt (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))>
#<alt (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))>
#<alt (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))>
#<alt (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))))>
#<alt (*.f32 x x)>
#<alt (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s))>
#<alt (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s))>
#<alt (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s))>
#<alt (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)>
#<alt (neg.f32 s)>
#<alt (*.f32 x #s(literal -1/6 binary32))>
#<alt (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)>
#<alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -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 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* 8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* s (+ (* 16 (/ s (pow x 5))) (* 8 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))>
#<alt (* s (- (* -1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))>
#<alt (* s (- (* -1/8 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x)))))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))>
#<alt (* -1 (* s (+ (* -1 (/ (- (* -1/4 (/ x s)) 1/2) s)) (/ 1 x))))>
#<alt (* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 2) s)) (* -1/4 x)) s)) 1/2) s)) (/ 1 x))))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -1 s) (* -1/2 x)) x)>
#<alt (/ (+ (* -1 s) (* x (- (* -1/4 (/ x s)) 1/2))) x)>
#<alt (/ (+ (* -1 s) (* x (- (* x (- (* -1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))) 1/2))) x)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* 2 (pow s 2)) (* 8 (/ (pow s 4) (pow x 2)))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* 2 (pow s 2)) (* 16 (/ (pow s 5) (pow x 3)))) (+ (* -8 (/ (pow s 4) (pow x 2))) (* -4 (/ (pow s 3) x)))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -8 (/ (pow s 4) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow s 5) x)) (* -8 (pow s 4))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (/ s x)>
#<alt (* 2 (/ s x))>
#<alt (* s (+ (* 4 (/ s (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* s (+ (* s (+ (* 8 (/ s (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))>
#<alt (* s (+ (* s (+ (* s (+ (* 16 (/ s (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1/2 (/ x s)) 1)>
#<alt (- (* -1/4 (/ (pow x 2) (pow s 2))) (+ 1 (* 1/2 (/ x s))))>
#<alt (- (* -1/8 (/ (pow x 3) (pow s 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s)))))>
#<alt -1>
#<alt (- (* -1/2 (/ x s)) 1)>
#<alt (- (* -1 (/ (- (* 1/4 (/ (pow x 2) s)) (* -1/2 x)) s)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (pow x 3) s)) (* 1/4 (pow x 2))) s)) (* -1/2 x)) s)) 1)>
#<alt -1>
#<alt (- (* -1/2 (/ x s)) 1)>
#<alt (- (* x (- (* -1/4 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1)>
#<alt (- (* x (- (* x (- (* -1/8 (/ x (pow s 3))) (* 1/4 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) 1)>
#<alt (* 2 (/ s x))>
#<alt (/ (+ (* 2 s) (* 4 (/ (pow s 2) x))) x)>
#<alt (/ (- (+ (* 2 s) (* 8 (/ (pow s 3) (pow x 2)))) (* -4 (/ (pow s 2) x))) x)>
#<alt (/ (- (+ (* 2 s) (* 16 (/ (pow s 4) (pow x 3)))) (+ (* -8 (/ (pow s 3) (pow x 2))) (* -4 (/ (pow s 2) x)))) x)>
#<alt (* 2 (/ s x))>
#<alt (* -1 (/ (+ (* -4 (/ (pow s 2) x)) (* -2 s)) x))>
#<alt (* -1 (/ (+ (* -2 s) (* -1 (/ (+ (* 4 (pow s 2)) (* 8 (/ (pow s 3) x))) x))) x))>
#<alt (* -1 (/ (+ (* -2 s) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow s 4) x)) (* -8 (pow s 3))) x)) (* 4 (pow s 2))) x))) x))>
#<alt (* -1 s)>
#<alt (- (* 1/2 x) s)>
#<alt (- (* 1/2 x) s)>
#<alt (- (* 1/2 x) s)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ s x))))>
#<alt (* x (+ 1/2 (* -1 (/ s x))))>
#<alt (* x (+ 1/2 (* -1 (/ s x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ s x) 1/2)))>
#<alt (* -1 (* x (- (/ s x) 1/2)))>
#<alt (* -1 (* x (- (/ s x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 s) (* 1/2 x))>
#<alt (+ (* -1 s) (* 1/2 x))>
#<alt (+ (* -1 s) (* 1/2 x))>
#<alt (* -1 s)>
#<alt (* s (- (* 1/2 (/ x s)) 1))>
#<alt (* s (- (* 1/2 (/ x s)) 1))>
#<alt (* s (- (* 1/2 (/ x s)) 1))>
#<alt (* -1 s)>
#<alt (* -1 (* s (+ 1 (* -1/2 (/ x s)))))>
#<alt (* -1 (* s (+ 1 (* -1/2 (/ x s)))))>
#<alt (* -1 (* s (+ 1 (* -1/2 (/ x s)))))>
#<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 (/ (- (* -1 (/ (- (* 162 (/ (pow s 6) x)) (* -54 (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 (- (* -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 (* s (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))>
#<alt (* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))>
#<alt (* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ s x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ s x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ s x)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))>
#<alt (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))>
#<alt (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))>
#<alt (* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))>
#<alt (* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (* s (pow x 2)))>
#<alt (* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))>
#<alt (* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))>
#<alt (* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))>
#<alt (- (+ 2 (* -1/6 (/ (pow x 3) (pow s 3)))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)) (* -1 x)) s)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ x s))))>
#<alt (* x (+ 1 (* x (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))>
#<alt (* x (+ 1 (* x (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))>
#<alt (* 1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x)))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1/2 (* s x))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1/2 (* s x))))>
#<alt (* 1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* 1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (- (* -1/2 (* s (pow x 2))) (* -1/6 (pow x 3))) (pow s 2))>
#<alt (/ (- (* s (- (* s x) (* 1/2 (pow x 2)))) (* -1/6 (pow x 3))) (pow s 2))>
#<alt (/ (- (* s (- (* s x) (* 1/2 (pow x 2)))) (* -1/6 (pow x 3))) (pow s 2))>
#<alt x>
#<alt (+ x (* -1/2 (/ (pow x 2) s)))>
#<alt (- (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) (* 1/2 (/ (pow x 2) s)))>
#<alt (- (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) (* 1/2 (/ (pow x 2) s)))>
#<alt x>
#<alt (+ x (* -1/2 (/ (pow x 2) s)))>
#<alt (+ x (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)))>
#<alt (+ x (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
Calls

114 calls:

TimeVariablePointExpression
2.0ms
s
@0
(/ 1 (+ 1 (pow (exp -2) (/ x (* 2 s)))))
1.0ms
x
@0
(/ (* (* x x) (+ (* 1/2 s) (* x -1/6))) (* s (* s s)))
1.0ms
s
@0
(+ (* 1/2 (* x x)) (/ (* (* x (* x x)) -1/6) s))
0.0ms
s
@0
(/ (* (* x x) (+ (* 1/2 s) (* x -1/6))) (* s (* s s)))
0.0ms
x
@inf
(/ (* (* x x) (+ (* 1/2 s) (* x -1/6))) (* s (* s s)))

rewrite356.0ms (3%)

Memory
17.5MiB live, 453.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 636×lower-/.f64
4 614×lower-/.f32
4 542×lower-*.f64
4 524×lower-*.f32
2 672×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037219
070203
1280201
22169201
08372201
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 741
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))
(exp.f32 #s(literal -2 binary32))
(/.f32 s (neg.f32 x))
(neg.f32 x)
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 s x)
(/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))
(fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))
(*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))))
(*.f32 x x)
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s))
(-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)
(neg.f32 s)
(*.f32 x #s(literal -1/6 binary32))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))
Outputs
(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 #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))))))
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(*.f32 (pow.f32 (/.f32 s (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/4 binary32))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))))
(neg.f32 s)
(+.f32 #s(literal 0 binary32) (neg.f32 s))
(-.f32 #s(literal 0 binary32) s)
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) s)))) (neg.f32 s))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) s)) (/.f32 (*.f32 s s) (+.f32 #s(literal 0 binary32) s)))
(/.f32 (*.f32 s (*.f32 s s)) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) s))))
(/.f32 (*.f32 s (*.f32 s s)) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) s)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s))) (neg.f32 (+.f32 #s(literal 0 binary32) s)))
(*.f32 s #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) s)
(*.f32 x #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) x)
(neg.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (neg.f32 s)))
(neg.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) (neg.f32 s))
(/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32))) (neg.f32 (neg.f32 s)))
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) #s(literal -1 binary32)) s)
(/.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) #s(literal -1 binary32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s))
(*.f32 x (*.f32 (*.f32 x x) (/.f32 #s(literal -1/6 binary32) s)))
(*.f32 x (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))
(*.f32 (*.f32 x x) (*.f32 x (/.f32 #s(literal -1/6 binary32) s)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))
(*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (*.f32 x x)))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s))))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s))) #s(literal -1 binary32)))
(pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s))))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s))))
(*.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s) #s(literal 3 binary32)))) (fma.f32 (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)) #s(literal 4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)) #s(literal 4 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s))) (*.f32 s s)))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s))) (*.f32 s s)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) s)) s))) #s(literal -1 binary32)))

simplify543.0ms (4.6%)

Memory
-40.8MiB live, 424.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 998×lower-fma.f64
7 998×lower-fma.f32
5 296×lower-*.f64
5 296×lower-*.f32
3 620×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06954946
121264772
264694626
082304409
Stop Event
1×iter limit
1×node limit
Counts
456 → 453
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 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* 8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* s (+ (* 16 (/ s (pow x 5))) (* 8 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1/8 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x)))))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (* -1/4 (/ x s)) 1/2) s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 2) s)) (* -1/4 x)) s)) 1/2) s)) (/ 1 x))))
(* -1 (/ s x))
(/ (+ (* -1 s) (* -1/2 x)) x)
(/ (+ (* -1 s) (* x (- (* -1/4 (/ x s)) 1/2))) x)
(/ (+ (* -1 s) (* x (- (* x (- (* -1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))) 1/2))) x)
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* 2 (pow s 2)) (* 8 (/ (pow s 4) (pow x 2)))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* 2 (pow s 2)) (* 16 (/ (pow s 5) (pow x 3)))) (+ (* -8 (/ (pow s 4) (pow x 2))) (* -4 (/ (pow s 3) x)))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (* -8 (/ (pow s 4) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow s 5) x)) (* -8 (pow s 4))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ 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)
(* 2 (/ s x))
(* s (+ (* 4 (/ s (pow x 2))) (* 2 (/ 1 x))))
(* s (+ (* s (+ (* 8 (/ s (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))
(* s (+ (* s (+ (* s (+ (* 16 (/ s (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))
-1
(- (* -1/2 (/ x s)) 1)
(- (* -1/4 (/ (pow x 2) (pow s 2))) (+ 1 (* 1/2 (/ x s))))
(- (* -1/8 (/ (pow x 3) (pow s 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s)))))
-1
(- (* -1/2 (/ x s)) 1)
(- (* -1 (/ (- (* 1/4 (/ (pow x 2) s)) (* -1/2 x)) s)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (pow x 3) s)) (* 1/4 (pow x 2))) s)) (* -1/2 x)) s)) 1)
-1
(- (* -1/2 (/ x s)) 1)
(- (* x (- (* -1/4 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1)
(- (* x (- (* x (- (* -1/8 (/ x (pow s 3))) (* 1/4 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) 1)
(* 2 (/ s x))
(/ (+ (* 2 s) (* 4 (/ (pow s 2) x))) x)
(/ (- (+ (* 2 s) (* 8 (/ (pow s 3) (pow x 2)))) (* -4 (/ (pow s 2) x))) x)
(/ (- (+ (* 2 s) (* 16 (/ (pow s 4) (pow x 3)))) (+ (* -8 (/ (pow s 3) (pow x 2))) (* -4 (/ (pow s 2) x)))) x)
(* 2 (/ s x))
(* -1 (/ (+ (* -4 (/ (pow s 2) x)) (* -2 s)) x))
(* -1 (/ (+ (* -2 s) (* -1 (/ (+ (* 4 (pow s 2)) (* 8 (/ (pow s 3) x))) x))) x))
(* -1 (/ (+ (* -2 s) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow s 4) x)) (* -8 (pow s 3))) x)) (* 4 (pow s 2))) x))) x))
(* -1 s)
(- (* 1/2 x) s)
(- (* 1/2 x) s)
(- (* 1/2 x) s)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ s x))))
(* x (+ 1/2 (* -1 (/ s x))))
(* x (+ 1/2 (* -1 (/ s x))))
(* 1/2 x)
(* -1 (* x (- (/ s x) 1/2)))
(* -1 (* x (- (/ s x) 1/2)))
(* -1 (* x (- (/ s x) 1/2)))
(* 1/2 x)
(+ (* -1 s) (* 1/2 x))
(+ (* -1 s) (* 1/2 x))
(+ (* -1 s) (* 1/2 x))
(* -1 s)
(* s (- (* 1/2 (/ x s)) 1))
(* s (- (* 1/2 (/ x s)) 1))
(* s (- (* 1/2 (/ x s)) 1))
(* -1 s)
(* -1 (* s (+ 1 (* -1/2 (/ x s)))))
(* -1 (* s (+ 1 (* -1/2 (/ x s)))))
(* -1 (* s (+ 1 (* -1/2 (/ x s)))))
(* 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 (* s (pow x 2)))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(* (pow x 2) (+ (* -1/6 x) (* 1/2 s)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ s x)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1/2 (/ s x)))))
(* -1/6 (pow x 3))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2))))
(* 1/2 (* s (pow x 2)))
(* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))
(* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))
(* s (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))))
(* 1/2 (* s (pow x 2)))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(* -1 (* s (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(- (+ 2 (* -1/6 (/ (pow x 3) (pow s 3)))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)) (* -1 x)) s)))
x
(* x (+ 1 (* -1/2 (/ x s))))
(* x (+ 1 (* x (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))
(* x (+ 1 (* x (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1/2 (* s x))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1/2 (* s x))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(/ (- (* -1/2 (* s (pow x 2))) (* -1/6 (pow x 3))) (pow s 2))
(/ (- (* s (- (* s x) (* 1/2 (pow x 2)))) (* -1/6 (pow x 3))) (pow s 2))
(/ (- (* s (- (* s x) (* 1/2 (pow x 2)))) (* -1/6 (pow x 3))) (pow s 2))
x
(+ x (* -1/2 (/ (pow x 2) s)))
(- (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) (* 1/2 (/ (pow x 2) s)))
(- (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) (* 1/2 (/ (pow x 2) s)))
x
(+ x (* -1/2 (/ (pow x 2) s)))
(+ x (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)))
(+ x (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/480 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -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)))))
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(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 x)
(*.f32 x #s(literal -1/6 binary32))
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 x (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) x)) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -18 binary32) x) (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32))) x)) (*.f32 x (*.f32 x x)))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (-.f32 (/.f32 (fma.f32 s (*.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal 72 binary32) (*.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal -108 binary32)))) (neg.f32 (*.f32 x (*.f32 x x)))) (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal 54 binary32) (*.f32 x x)) (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -36 binary32) (*.f32 x x)) (/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal 18 binary32)) x))))) (*.f32 x (*.f32 x x)))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(/.f32 (fma.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal 18 binary32) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 6 binary32))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -18 binary32) x) (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32))) (neg.f32 x))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 18 binary32) (fma.f32 (pow.f32 s #s(literal 6 binary32)) (/.f32 #s(literal -108 binary32) x) (fma.f32 (*.f32 #s(literal -3 binary32) s) (*.f32 (pow.f32 s #s(literal 5 binary32)) (/.f32 #s(literal -18 binary32) x)) (/.f32 (*.f32 (pow.f32 s #s(literal 6 binary32)) #s(literal 72 binary32)) x)))) x) (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal 18 binary32))) x)) (neg.f32 (*.f32 x (*.f32 x x))))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(*.f32 s (*.f32 (*.f32 s s) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 s (fma.f32 (/.f32 s (pow.f32 x #s(literal 5 binary32))) #s(literal -18 binary32) (/.f32 #s(literal -18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(*.f32 s (*.f32 (*.f32 s s) (fma.f32 s (fma.f32 s (fma.f32 #s(literal -18 binary32) (/.f32 s (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -18 binary32) (pow.f32 x #s(literal 5 binary32)))) (/.f32 #s(literal -18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x #s(literal -1/4 binary32)) (/.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 (*.f32 x x) s))) s)) s))

eval180.0ms (1.5%)

Memory
41.5MiB live, 225.5MiB allocated
Compiler

Compiled 29 394 to 3 375 computations (88.5% saved)

prune277.0ms (2.4%)

Memory
-51.8MiB live, 326.1MiB allocated
Pruning

51 alts after pruning (43 fresh and 8 done)

PrunedKeptTotal
New1 219171 236
Fresh72633
Picked235
Done055
Total1 228511 279
Accuracy
100.0%
Counts
1 279 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(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))
✓30.8%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
15.3%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s)))))
30.5%
(/.f32 (fma.f32 s (*.f32 s #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 4 binary32) x))) (*.f32 x x))
30.7%
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
34.9%
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))
32.5%
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
27.7%
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
30.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
30.2%
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
30.9%
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
30.5%
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
30.9%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
65.4%
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
✓15.0%
(/.f32 s (neg.f32 x))
51.1%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) x) (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))
51.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
54.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
21.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
39.1%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) s (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
55.9%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
48.2%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
47.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
29.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
34.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 s s)))
51.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
47.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
56.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)) s)))
39.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
50.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
76.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)))
80.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 1/2 binary32) s))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) s))))))
99.7%
(/.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))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))))
16.0%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
33.6%
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
33.7%
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
28.5%
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
✓27.7%
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
28.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
65.4%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))))
14.9%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
26.4%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
28.2%
(*.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)))))
29.2%
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
27.4%
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
✓36.6%
#s(literal 1/2 binary32)
Compiler

Compiled 1 963 to 857 computations (56.3% saved)

regimes216.0ms (1.8%)

Memory
30.6MiB live, 261.1MiB allocated
Counts
77 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (fma.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 #s(literal 2 binary32) (*.f32 s s))) (*.f32 x x))
(/.f32 (fma.f32 s (*.f32 s #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 4 binary32) x))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) x) (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) s (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.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 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 1/2 binary32) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) s))))))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/.f32 #s(literal 1 binary32) (+.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 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.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)))))
(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 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
Calls

7 calls:

51.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
42.0ms
(/.f32 (neg.f32 x) s)
29.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
28.0ms
x
27.0ms
s
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes158.0ms (1.3%)

Memory
-12.3MiB live, 381.6MiB allocated
Counts
72 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (fma.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 #s(literal 2 binary32) (*.f32 s s))) (*.f32 x x))
(/.f32 (fma.f32 s (*.f32 s #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 4 binary32) x))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) x) (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) s (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.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 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 1/2 binary32) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) s))))))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/.f32 #s(literal 1 binary32) (+.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 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
Calls

7 calls:

29.0ms
(neg.f32 x)
23.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
23.0ms
(/.f32 (neg.f32 x) s)
19.0ms
s
19.0ms
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)

regimes119.0ms (1%)

Memory
11.8MiB live, 325.4MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (fma.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 #s(literal 2 binary32) (*.f32 s s))) (*.f32 x x))
(/.f32 (fma.f32 s (*.f32 s #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 4 binary32) x))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) x) (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) s (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.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 #s(literal -1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

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

Compiled 43 to 31 computations (27.9% saved)

regimes102.0ms (0.9%)

Memory
24.7MiB live, 301.6MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (fma.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 #s(literal 2 binary32) (*.f32 s s))) (*.f32 x x))
(/.f32 (fma.f32 s (*.f32 s #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 4 binary32) x))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) x) (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (*.f32 x #s(literal -1/6 binary32)) s (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (*.f32 s s) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

7 calls:

16.0ms
s
16.0ms
(neg.f32 x)
15.0ms
x
15.0ms
(/.f32 (neg.f32 x) s)
13.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
65.7%2x
56.8%1s
67.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
67.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
67.0%2(exp.f32 (/.f32 (neg.f32 x) s))
67.0%2(/.f32 (neg.f32 x) s)
65.7%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes98.0ms (0.8%)

Memory
-21.6MiB live, 116.1MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (fma.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 #s(literal 2 binary32) (*.f32 s s))) (*.f32 x x))
(/.f32 (fma.f32 s (*.f32 s #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 4 binary32) x))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32))) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) s) x) (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s)) s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
Calls

4 calls:

43.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
23.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
17.0ms
(/.f32 (neg.f32 x) s)
12.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
65.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.8%2(exp.f32 (/.f32 (neg.f32 x) s))
65.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes45.0ms (0.4%)

Memory
-5.7MiB live, 114.2MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (fma.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 #s(literal 2 binary32) (*.f32 s s))) (*.f32 x x))
(/.f32 (fma.f32 s (*.f32 s #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 4 binary32) x))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32)) (*.f32 s (*.f32 s s)))))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
#s(literal 1/2 binary32)
Calls

4 calls:

12.0ms
(/.f32 (neg.f32 x) s)
11.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
10.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
10.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
65.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.8%2(exp.f32 (/.f32 (neg.f32 x) s))
65.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes112.0ms (1%)

Memory
4.5MiB live, 81.4MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x x)) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (*.f32 s s) (fma.f32 s (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 #s(literal 2 binary32) (*.f32 s s))) (*.f32 x x))
(/.f32 (fma.f32 s (*.f32 s #s(literal 2 binary32)) (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 4 binary32) x))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 s s)))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
#s(literal 1/2 binary32)
Calls

4 calls:

82.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
10.0ms
(/.f32 (neg.f32 x) s)
10.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
9.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
65.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.8%2(exp.f32 (/.f32 (neg.f32 x) s))
65.8%2(/.f32 (neg.f32 x) s)
65.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes79.0ms (0.7%)

Memory
-9.8MiB live, 109.8MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
Calls

6 calls:

35.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
10.0ms
x
9.0ms
(neg.f32 x)
8.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
67.1%3x
67.1%3(neg.f32 x)
64.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
64.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.0%2(exp.f32 (/.f32 (neg.f32 x) s))
64.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes34.0ms (0.3%)

Memory
-8.2MiB live, 71.8MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
Calls

4 calls:

9.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
8.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
64.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
64.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.0%2(exp.f32 (/.f32 (neg.f32 x) s))
64.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes39.0ms (0.3%)

Memory
33.0MiB live, 72.0MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
Calls

5 calls:

8.0ms
(neg.f32 x)
8.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
67.1%3(neg.f32 x)
63.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
63.3%2(exp.f32 (/.f32 (neg.f32 x) s))
63.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 37 to 27 computations (27% saved)

regimes54.0ms (0.5%)

Memory
-17.2MiB live, 111.3MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 (/.f32 s x) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s))
(*.f32 s (/.f32 (*.f32 s s) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 x (neg.f32 s))) (*.f32 s s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
Calls

6 calls:

16.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
10.0ms
(neg.f32 x)
8.0ms
(/.f32 (neg.f32 x) s)
7.0ms
x
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
63.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
63.0%2(exp.f32 (/.f32 (neg.f32 x) s))
63.0%2(/.f32 (neg.f32 x) s)
62.2%2x
62.2%2(neg.f32 x)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes22.0ms (0.2%)

Memory
-23.1MiB live, 55.8MiB 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 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) 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 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x)
Calls

4 calls:

6.0ms
(/.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))))
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
62.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
62.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
62.3%2(exp.f32 (/.f32 (neg.f32 x) s))
62.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes31.0ms (0.3%)

Memory
6.6MiB live, 85.0MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
(*.f32 (/.f32 s x) (/.f32 (*.f32 s #s(literal 2 binary32)) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) s) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)))) (*.f32 s s))
(*.f32 (/.f32 s x) (/.f32 s (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
Calls

6 calls:

6.0ms
x
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(neg.f32 x)
5.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
59.9%2x
59.9%2(neg.f32 x)
61.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
61.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
61.1%2(exp.f32 (/.f32 (neg.f32 x) s))
61.1%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes14.0ms (0.1%)

Memory
0.0MiB live, 39.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
Calls

4 calls:

4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
61.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
61.1%2(/.f32 (neg.f32 x) s)
61.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
61.1%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes23.0ms (0.2%)

Memory
22.8MiB live, 62.4MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
Outputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
Calls

7 calls:

4.0ms
s
3.0ms
(neg.f32 x)
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
56.8%2x
56.8%2(neg.f32 x)
42.3%2s
56.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
56.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
56.8%2(exp.f32 (/.f32 (neg.f32 x) s))
56.9%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes20.0ms (0.2%)

Memory
-13.4MiB live, 66.7MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Calls

6 calls:

4.0ms
(neg.f32 x)
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
46.9%2x
46.9%2(neg.f32 x)
47.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
47.4%2(exp.f32 (/.f32 (neg.f32 x) s))
47.4%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes19.0ms (0.2%)

Memory
11.8MiB live, 50.3MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
Calls

6 calls:

5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
(neg.f32 x)
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
46.1%2x
46.1%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 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
46.2%2(exp.f32 (/.f32 (neg.f32 x) s))
46.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes15.0ms (0.1%)

Memory
-0.4MiB live, 38.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
Outputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
Calls

6 calls:

4.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(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
45.0%2x
45.0%2(neg.f32 x)
45.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
45.1%2(/.f32 (neg.f32 x) s)
45.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
45.1%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes10.0ms (0.1%)

Memory
-14.2MiB live, 24.7MiB 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:

3.0ms
(neg.f32 x)
1.0ms
x
1.0ms
s
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
36.6%1s
36.6%1x
36.6%1(neg.f32 x)
36.6%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
36.6%1(/.f32 (neg.f32 x) s)
36.6%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
36.6%1(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.197465896606445
6.264668941497803
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
71.0933837890625
146.59010314941406
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.3320965294252746e-31
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.3320965294252746e-31
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
71.0933837890625
146.59010314941406
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
71.0933837890625
146.59010314941406
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.297041601171678e-16
1.0959913888036266e-15
0.0ms
-8.233649161288939e-34
-2.9275700582553494e-34
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
24.641483306884766
28.396230697631836
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
24.641483306884766
28.396230697631836
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
7.506963298903386e+30
+inf
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
7.506963298903386e+30
+inf
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
619.0662841796875
911.8045043945313
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0268113613128662
-0.7044162154197693
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.2984535694122314
16.057430267333984
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
2.2984535694122314
16.057430267333984
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify15.0ms (0.1%)

Memory
-13.1MiB live, 27.6MiB allocated
Algorithm
1×egg-herbie
Rules
46×*-commutative_binary32
18×+-commutative_binary32
14×sub-neg_binary32
10×neg-sub0_binary32
10×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121372
1155372
2169372
3176372
4178372
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 100 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 100 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 100 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(if (<=.f32 (neg.f32 x) #s(literal -2722259/5444517870735015415413993718908291383296 binary32)) #s(literal 1/2 binary32) (if (<=.f32 (neg.f32 x) #s(literal 9444733/18889465931478580854784 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 25 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 25 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 9999999848243207295109594873856 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 9999999848243207295109594873856 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 800 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (*.f32 s #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 100 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 100 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 s (-.f32 (*.f32 x #s(literal 1/2 binary32)) s) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 1 binary32))) #s(literal 0 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 1/2 binary32))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 100 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 100 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) (/.f32 s (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 100 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 100 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) x) (/.f32 s (*.f32 x (fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))))))
(if (<=.f32 (neg.f32 x) #s(literal -2722259/5444517870735015415413993718908291383296 binary32)) #s(literal 1/2 binary32) (if (<=.f32 (neg.f32 x) #s(literal 9444733/18889465931478580854784 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 25 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 25 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 25 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 25 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 s s) (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) x))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 9999999848243207295109594873856 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 9999999848243207295109594873856 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 9999999848243207295109594873856 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 9999999848243207295109594873856 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 800 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 800 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 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 4 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 4 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 s x)))
#s(literal 1/2 binary32)

soundness2.2s (18.9%)

Memory
52.9MiB live, 1 827.5MiB allocated
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
14 210×lower-fma.f64
14 210×lower-fma.f32
10 980×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027132
052122
1210117
21718117
08259117
037219
070203
1280201
22169201
08372201
04874525
114154269
243134132
084763960
0827
01327
14827
225527
3210127
0846526
06954946
121264772
264694626
082304409
06794735
120654094
270614042
082413675
0140758
1378748
21147742
33893722
08438682
034211
065201
1286191
22531191
08954185
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 915 to 512 computations (44% saved)

preprocess81.0ms (0.7%)

Memory
-5.5MiB live, 227.0MiB allocated
Compiler

Compiled 770 to 258 computations (66.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...