Logistic function

Time bar (total: 11.2s)

analyze39.0ms (0.3%)

Memory
-13.8MiB live, 70.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.0s (9%)

Memory
27.8MiB live, 2 096.0MiB allocated
Samples
754.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 554.0ms
ival-div: 153.0ms (27.6% of total)
const: 131.0ms (23.7% of total)
ival-exp: 93.0ms (16.8% of total)
ival-add: 67.0ms (12.1% of total)
ival-<=: 46.0ms (8.3% of total)
ival-neg: 40.0ms (7.2% of total)
ival-and: 11.0ms (2% of total)
exact: 10.0ms (1.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess33.0ms (0.3%)

Memory
-3.4MiB live, 74.2MiB allocated
Algorithm
1×egg-herbie
Rules
204×exp-prod
124×exp-sum
120×times-frac
92×associate-/r*
66×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

explain100.0ms (0.9%)

Memory
-26.7MiB live, 250.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
13(-4.787409641763568e-19 7.619252811666766e-22)1(-3.429749058814647e-15 5.0391389621754767e-17)(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))sensitivity33
Confusion
Predicted +Predicted -
+01
-3252
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-32250
Precision?
0.16666666666666666
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 7.0ms (38% of total)
ival-exp: 6.0ms (32.6% of total)
ival-add: 2.0ms (10.9% of total)
ival-neg: 2.0ms (10.9% 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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB 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

localize29.0ms (0.3%)

Memory
-23.2MiB live, 65.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓accuracy99.7%
(exp.f32 (/.f32 (neg.f32 x) s))
Samples
20.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (50.8% of total)
ival-neg: 3.0ms (21.8% of total)
ival-exp: 2.0ms (14.5% of total)
ival-add: 1.0ms (7.3% 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
16.6MiB live, 16.6MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))>
#<alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))>
#<alt (exp.f32 (/.f32 (neg.f32 x) s))>
#<alt (/.f32 (neg.f32 x) s)>
#<alt (neg.f32 x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

27 calls:

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

rewrite335.0ms (3%)

Memory
-3.0MiB live, 671.1MiB 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)))

simplify898.0ms (8%)

Memory
-209.0MiB live, 1 229.3MiB 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)

eval150.0ms (1.3%)

Memory
7.5MiB live, 200.1MiB allocated
Compiler

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

prune110.0ms (1%)

Memory
18.3MiB live, 249.3MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New80513818
Fresh000
Picked011
Done000
Total80514819
Accuracy
99.9%
Counts
819 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶22.4%
(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))
29.3%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
47.1%
(/.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)))))
47.2%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
53.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
55.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
42.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
54.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
▶55.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶65.0%
(*.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)))))
▶35.2%
#s(literal 1/2 binary32)
Compiler

Compiled 421 to 282 computations (33% saved)

simplify325.0ms (2.9%)

Memory
26.3MiB live, 494.8MiB 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
(fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.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 1 binary32))))
✓cost-diff96
(+.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 1 binary32)))
✓cost-diff160
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓cost-diff0
(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
12 582×lower-fma.f64
12 572×lower-fma.f32
4 522×lower-*.f64
4 516×lower-*.f32
1 380×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033235
065228
1126222
2342222
3810220
41329220
53376220
67692220
08133212
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)
(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 x s)
x
s
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(*.f32 x x)
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
#s(literal -1/48 binary32)
(*.f32 s s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 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 1 binary32))
x
(fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 x (*.f32 s s))
(*.f32 s s)
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
(*.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)
(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 x s)
x
s
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(*.f32 x x)
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
#s(literal -1/48 binary32)
(*.f32 s s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) #s(literal 2 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) #s(literal 2 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 1 binary32))
(fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) #s(literal 1 binary32))
x
(fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 x (*.f32 s s))
(*.f32 s s)
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
(*.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)))
(/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
#s(literal 1 binary32)
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
(/.f32 (-.f32 (neg.f32 x) x) s)
(*.f32 (/.f32 x s) #s(literal -2 binary32))
(-.f32 (neg.f32 x) x)
(neg.f32 x)
x
s
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)

localize194.0ms (1.7%)

Memory
-17.3MiB live, 258.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
✓accuracy99.8%
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
✓accuracy99.7%
(expm1.f32 (/.f32 (neg.f32 x) s))
✓accuracy96.4%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
✓accuracy99.3%
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
✓accuracy96.4%
(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))
✓accuracy92.6%
(/.f32 x (*.f32 s s))
✓accuracy100.0%
(*.f32 s s)
✓accuracy99.8%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓accuracy99.3%
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
✓accuracy86.7%
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.8%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓accuracy99.7%
(exp.f32 (/.f32 (neg.f32 x) s))
✓accuracy97.4%
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
Samples
85.0ms176×0valid
24.0ms80×0exit
Compiler

Compiled 268 to 40 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
const: 28.0ms (30% of total)
ival-mult: 27.0ms (28.9% of total)
ival-div: 17.0ms (18.2% of total)
ival-add: 7.0ms (7.5% of total)
ival-exp: 4.0ms (4.3% of total)
ival-expm1: 4.0ms (4.3% of total)
ival-log1p: 2.0ms (2.1% of total)
ival-neg: 2.0ms (2.1% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series149.0ms (1.3%)

Memory
8.7MiB live, 280.8MiB allocated
Counts
22 → 480
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 (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))>
#<alt (/.f32 x s)>
#<alt (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))>
#<alt (*.f32 x x)>
#<alt (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))>
#<alt (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))>
#<alt (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))>
#<alt (*.f32 (/.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 (/.f32 #s(literal -1/48 binary32) (*.f32 s s))>
#<alt (*.f32 s s)>
#<alt (/.f32 x (*.f32 s s))>
#<alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))>
#<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))>
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#<alt 1/2>
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#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<alt (* -1/2 (/ s x))>
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#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (* -1/2 (/ s x))>
#<alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* 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)))))))>
#<alt (* -1/2 (/ s x))>
#<alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))>
#<alt (* -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)))))>
#<alt (* -2 (/ x s))>
#<alt (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))>
#<alt (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))>
#<alt (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (- (exp (* -2 (/ x s))) 1)>
#<alt (* -2 (/ x s))>
#<alt (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)>
#<alt (* -2 (/ x s))>
#<alt (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt (/ x (pow s 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (* -1/6 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ x s))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))>
Calls

120 calls:

TimeVariablePointExpression
32.0ms
x
@-inf
(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
31.0ms
x
@inf
(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
26.0ms
s
@-inf
(+ (* -1/6 (/ x s)) 1/2)
17.0ms
s
@0
(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
2.0ms
x
@-inf
(/ 1 (- (exp (/ (- (neg x) x) s)) 1))

rewrite400.0ms (3.6%)

Memory
-9.0MiB live, 688.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 924×lower-/.f64
4 908×lower-/.f32
4 492×lower-fma.f64
4 482×lower-fma.f32
3 958×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033195
065188
1287183
22632181
09370177
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 995
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))
(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 x s)
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(*.f32 x x)
(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))
(+.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 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.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)
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(*.f32 s s)
(/.f32 x (*.f32 s s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(+.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))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (*.f32 #s(literal -1 binary32) (/.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 (/.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal -1 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) (/.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 (+.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 x x) s)) #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 #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 (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 (/.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 #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 (/.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #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 (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 (expm1.f32 (/.f32 x (neg.f32 s))) (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 (*.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 #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 x) s))) (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.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 (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 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 (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))))
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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 (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)))) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(-.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (-.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))))
(-.f32 (/.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 (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))))) (-.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))))
(-.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 (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)))) (-.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))) (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 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 #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 #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 (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)) (expm1.f32 (/.f32 (+.f32 x x) 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))) (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)) (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 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (neg.f32 (+.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 (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 (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 (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 (*.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (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 (neg.f32 s)) #s(literal 3 binary32)))) (neg.f32 (+.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)))) (neg.f32 (+.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 (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(/.f32 (-.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (+.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 x) s)))) (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (neg.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) (exp.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) (exp.f32 (/.f32 x (neg.f32 s)))))))
(*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))
(*.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 x (neg.f32 s))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (expm1.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 (+.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 (/.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 (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 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))

simplify393.0ms (3.5%)

Memory
30.3MiB live, 584.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 636×lower-fma.f64
10 636×lower-fma.f32
5 132×lower-*.f64
5 132×lower-*.f32
3 562×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08065682
124195035
082074632
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
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)))
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(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(* -1 (/ 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 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ (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 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (fma.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/48 binary32)) (*.f32 x (*.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/2 binary32)))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (fma.f32 x (*.f32 #s(literal 1/4 binary32) (*.f32 x (*.f32 x #s(literal 1/4 binary32)))) (*.f32 x #s(literal 0 binary32))))) s) (neg.f32 s))) s))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* 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 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(fma.f32 x (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 (*.f32 x #s(literal 0 binary32)) (*.f32 s s)) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s) (*.f32 x #s(literal -1/2 binary32))) s)) (log.f32 #s(literal 2 binary32)))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s) (*.f32 x #s(literal -1/2 binary32))) s)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(-.f32 (/.f32 (fma.f32 x #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 x #s(literal 0 binary32)) #s(literal 1/6 binary32) (*.f32 x (*.f32 x #s(literal -1/8 binary32)))) (neg.f32 s))) (neg.f32 s)) (log.f32 #s(literal 2 binary32)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) s)) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/192 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/2 binary32) s)) (log.f32 #s(literal 2 binary32)))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+.f32 (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))
(+ (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))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (*.f32 x #s(literal 0 binary32)) #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s) (*.f32 x #s(literal -1/2 binary32))) s)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 1/2 binary32) 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)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (fma.f32 x #s(literal 0 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ x 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 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 x s)) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(* -1/48 (/ (pow x 3) (pow s 3)))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 x x))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s))))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
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#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 1/2 binary32)
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#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 x (neg.f32 s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 x (neg.f32 s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 x (neg.f32 s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 x (neg.f32 s)))
(* -1 (/ x s))
(/.f32 x (neg.f32 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 (*.f32 x (*.f32 x 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 1/2 binary32) (/.f32 (*.f32 x x) s) (fma.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/24 binary32)) (*.f32 s (*.f32 s s))))) x) s)
(* -1 (/ x s))
(/.f32 x (neg.f32 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 x (/.f32 (*.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 x (*.f32 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))

eval213.0ms (1.9%)

Memory
-12.7MiB live, 289.8MiB allocated
Compiler

Compiled 41 690 to 4 490 computations (89.2% saved)

prune249.0ms (2.2%)

Memory
35.8MiB live, 429.7MiB allocated
Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1 562291 591
Fresh448
Picked325
Done011
Total1 569361 605
Accuracy
99.9%
Counts
1 605 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
26.9%
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
26.7%
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
▶23.9%
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 binary32))
29.3%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
22.4%
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
22.4%
(fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32))
▶29.3%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
20.3%
(/.f32 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
47.1%
(/.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)))))
32.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
65.1%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
55.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (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)) x #s(literal 2 binary32)))
▶53.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
51.7%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
55.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
53.1%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
32.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
53.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)))
42.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
▶57.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
39.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
57.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
54.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) (/.f32 s x)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) #s(literal 1 binary32))))
55.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
53.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
52.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
42.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
52.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
36.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
36.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
34.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x))))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓99.8%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓35.2%
#s(literal 1/2 binary32)
Compiler

Compiled 1 358 to 855 computations (37% saved)

simplify472.0ms (4.2%)

Memory
-16.0MiB live, 662.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
✓cost-diff96
(+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))
✓cost-diff128
(fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
✓cost-diff352
(fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s))
✓cost-diff0
(fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32))))
✓cost-diff0
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s))
✓cost-diff0
(/.f32 x s)
✓cost-diff320
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 binary32))
✓cost-diff0
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff64
(/.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-diff128
(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 1/4 binary32) s)
✓cost-diff0
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
✓cost-diff0
(E.f32)
✓cost-diff0
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
Rules
17 336×lower-fma.f64
17 320×lower-fma.f32
3 892×lower-*.f64
3 884×lower-*.f32
1 652×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035252
069252
1130250
2251248
3433247
4780247
51768245
64161245
76311243
08071236
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(E.f32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
x
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
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)
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s))
(fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32))))
(*.f32 x #s(literal -1/48 binary32))
#s(literal -1/48 binary32)
(*.f32 s (*.f32 s #s(literal 1/4 binary32)))
(*.f32 s #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(*.f32 s s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))
(fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
x
(fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s))
(/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s)
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
s
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(E.f32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
x
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
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)))
(/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x #s(literal -1/2 binary32) s) #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))
(neg.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x #s(literal -1/2 binary32) s) #s(literal -2 binary32)))
(/.f32 x s)
x
s
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/48 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))
(fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32))))
(fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s s)))
(*.f32 x #s(literal -1/48 binary32))
#s(literal -1/48 binary32)
(*.f32 s (*.f32 s #s(literal 1/4 binary32)))
(*.f32 #s(literal 1/4 binary32) (*.f32 s s))
(*.f32 s #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(*.f32 s s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/6 binary32) s) #s(literal -1/2 binary32)) s) #s(literal -2 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))
(neg.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/6 binary32) s) #s(literal -1/2 binary32)) s) #s(literal -2 binary32)))
(fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(neg.f32 (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/6 binary32) s) #s(literal -1/2 binary32)) s) #s(literal -1 binary32)))
x
(fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s))
(/.f32 (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)
(/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s)
(/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s)
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(/.f32 x s)
s
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)

localize166.0ms (1.5%)

Memory
-0.5MiB live, 315.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s)
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
✓accuracy98.9%
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
✓accuracy95.4%
(fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
✓accuracy99.8%
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 binary32))
✓accuracy99.7%
(fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32))))
✓accuracy99.0%
(*.f32 x #s(literal -1/48 binary32))
✓accuracy85.4%
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s))
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.9%
(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))
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓accuracy100.0%
(/.f32 #s(literal 1/4 binary32) s)
✓accuracy99.4%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
✓accuracy100.0%
(E.f32)
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓accuracy99.6%
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
Samples
113.0ms256×0valid
Compiler

Compiled 277 to 45 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 21.0ms (31.2% of total)
ival-div: 15.0ms (22.3% of total)
ival-add: 11.0ms (16.3% of total)
ival-pow: 10.0ms (14.8% of total)
const: 7.0ms (10.4% of total)
ival-e: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory
-33.4MiB live, 50.0MiB allocated
Counts
20 → 432
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))>
#<alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))>
#<alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))>
#<alt (E.f32)>
#<alt (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))>
#<alt (/.f32 #s(literal 1/4 binary32) s)>
#<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 #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 (/.f32 x s)>
#<alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))>
#<alt (fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 binary32))>
#<alt (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s))>
#<alt (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32))))>
#<alt (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s))>
#<alt (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))>
#<alt (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))>
#<alt (*.f32 x #s(literal -1/48 binary32))>
#<alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))>
#<alt (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (* 1/4 (/ x s))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x s))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x s))>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (* 1/2 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ x s))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* 1/2 (/ x s))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))>
#<alt (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (* 1/4 (pow s 2))>
#<alt (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))>
#<alt (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))>
#<alt (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))>
#<alt (* -1/48 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))>
#<alt (* -1/48 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))>
#<alt (* -1/48 (pow x 2))>
#<alt (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))>
#<alt (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))>
#<alt (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))>
#<alt (* 1/4 (pow s 2))>
#<alt (* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))>
#<alt (* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))>
#<alt (* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))>
#<alt (* 1/4 (pow s 2))>
#<alt (* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))>
#<alt (* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))>
#<alt (* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))>
#<alt (/ -1 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 2) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))>
#<alt 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 (* -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)) (/ 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) (/ 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 (+ s (* -1 x)))))) (pow s 3))>
#<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 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt (* -1/48 x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (* -1/6 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ x s))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ x s))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (+ 1/2 (* -1/6 (/ x s)))>
#<alt (/ 1/2 s)>
#<alt (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))>
#<alt (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))>
#<alt (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))>
#<alt (* -1/6 (/ x (pow s 2)))>
#<alt (* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ x (pow s 2)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ x (pow s 2)))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))>
#<alt (/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))>
#<alt (/ 1/2 s)>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) s)>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) s)>
#<alt (/ (+ 1/2 (* -1/6 (/ x s))) s)>
#<alt (/ 1/2 s)>
#<alt (* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))>
#<alt (* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))>
#<alt (* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))>
Calls

108 calls:

TimeVariablePointExpression
15.0ms
s
@inf
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
2.0ms
s
@inf
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
1.0ms
x
@0
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
1.0ms
s
@-inf
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))
1.0ms
x
@inf
(/ 1 (+ 1 (pow (E) (/ (neg x) s))))

rewrite400.0ms (3.6%)

Memory
44.8MiB live, 576.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 816×lower-/.f64
3 798×lower-/.f32
3 532×lower-*.f64
3 524×lower-*.f32
2 998×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035202
069202
1324196
22908196
08416193
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 662
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(E.f32)
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) s)
(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) (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))
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 binary32))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s))
(fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32))))
(fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s))
(fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 x #s(literal -1/48 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s)
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 (/.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) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)))
(*.f32 (/.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 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))))) (-.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 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))))) (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 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))))) #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 x (neg.f32 s))) (pow.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32)) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (E.f32) (E.f32)))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 2 binary32)) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))) (-.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 (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 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 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 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))))))
(/.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 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))) (-.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 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))) (*.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 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))) (-.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 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))))) (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 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))))) (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 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))) (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 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))) (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 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))) (/.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 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(exp.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(exp.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (E.f32) (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (E.f32) (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 2 binary32)))
(exp.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))) (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (E.f32) (/.f32 x (neg.f32 s)))
(pow.f32 (E.f32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (E.f32) (*.f32 (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))) #s(literal 2 binary32)))
(pow.f32 (E.f32) (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 2 binary32)))
(pow.f32 (E.f32) (fma.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(pow.f32 (E.f32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (E.f32) (fma.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))) (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (/.f32 x (neg.f32 s))))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 1 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (fma.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 2 binary32)))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) #s(literal 2 binary32)))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s))))
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(/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 1 binary32))))
(/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s)
(/.f32 (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (neg.f32 s))
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (*.f32 s (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (*.f32 s (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)
(/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) s))
(/.f32 (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) s))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32))) (neg.f32 (*.f32 s (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))) (neg.f32 (*.f32 s (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) s)))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32)) s)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s))
(*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(*.f32 (pow.f32 (/.f32 s (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal -1/2 binary32))))

simplify362.0ms (3.2%)

Memory
-54.2MiB live, 681.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 118×lower-fma.f64
9 118×lower-fma.f32
5 634×lower-*.f64
5 634×lower-*.f32
2 444×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06885070
121014507
266604461
080464211
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
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(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
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1/2
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(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1/2
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
2
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2
(+ 2 (* -1 (/ (* x (log (E))) s)))
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2
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1
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(exp (* -1 (/ (* x (log (E))) s)))
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(exp (* -1 (/ (* x (log (E))) s)))
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(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
1
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1
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1/2
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(/ (+ (* 1/4 x) (* 1/2 s)) s)
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2
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(* 1/2 (/ (pow x 2) (pow s 2)))
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2
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(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
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(/ (+ (* -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)))
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1/2
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(/ x s)
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-1
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(- (* 1/2 (/ x s)) 1)
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(/ (+ (* -1 s) (* 1/2 x)) s)
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1/2
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(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(* 1/4 (pow s 2))
(+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))
(+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))
(+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))
(* -1/48 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))
(* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))
(* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))
(* -1/48 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))
(* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))
(* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/48))
(* -1/48 (pow x 2))
(+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))
(+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))
(+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2)))
(* 1/4 (pow s 2))
(* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* 1/4 (pow s 2))
(* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(* (pow s 2) (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))
(/ -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))
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))))
(* -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)) (/ 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) (/ 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 (+ s (* -1 x)))))) (pow s 3))
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)))
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)))
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(/ 1/2 s)
(+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(* -1/6 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ x (pow s 2)))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ x (pow s 2)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))
(/ 1/2 s)
(/ (+ 1/2 (* -1/6 (/ x s))) s)
(/ (+ 1/2 (* -1/6 (/ x s))) s)
(/ (+ 1/2 (* -1/6 (/ x s))) s)
(/ 1/2 s)
(* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))
(* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))
(* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(fma.f32 x (fma.f32 x (*.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s (*.f32 s s))) #s(literal 0 binary32)) (neg.f32 x)) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/48 binary32) (*.f32 x #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
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#s(literal 2 binary32)
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(+ 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 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (fma.f32 x #s(literal 0 binary32) (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) s))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
(* -1/48 x)
(*.f32 x #s(literal -1/48 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(* -1/6 (/ x s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)))
(* -1/6 (/ x s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(neg.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(neg.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(neg.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/2 binary32) x))))
(* -1/6 (/ x s))
(/.f32 (*.f32 x #s(literal -1/6 binary32)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
(+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))
(+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))
(+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s))
(* -1/6 (/ x (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))
(* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* x (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ x (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))))
(* -1/6 (/ x (pow s 2)))
(*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))
(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
(/ (+ 1/2 (* -1/6 (/ x s))) s)
(/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s)
(/ (+ 1/2 (* -1/6 (/ x s))) s)
(/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s)
(/ (+ 1/2 (* -1/6 (/ x s))) s)
(/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s)
(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
(* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))
(neg.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/6 binary32) #s(literal -1/2 binary32)) s))
(* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))
(neg.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/6 binary32) #s(literal -1/2 binary32)) s))
(* -1 (/ (- (* 1/6 (/ x s)) 1/2) s))
(neg.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/6 binary32) #s(literal -1/2 binary32)) s))

eval170.0ms (1.5%)

Memory
20.4MiB live, 327.3MiB allocated
Compiler

Compiled 31 856 to 3 342 computations (89.5% saved)

prune256.0ms (2.3%)

Memory
-8.2MiB live, 403.0MiB allocated
Pruning

44 alts after pruning (36 fresh and 8 done)

PrunedKeptTotal
New1 271151 286
Fresh72128
Picked055
Done033
Total1 278441 322
Accuracy
99.9%
Counts
1 322 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
▶26.9%
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
26.7%
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓23.9%
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 binary32))
29.3%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
▶22.4%
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
22.4%
(fma.f32 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32))
✓29.3%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
20.3%
(/.f32 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
47.1%
(/.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)))))
32.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
34.3%
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
65.1%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
55.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
▶99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
99.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
✓53.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
▶51.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
55.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
53.3%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
34.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
32.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
34.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
42.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓57.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
39.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
57.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
55.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
53.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
52.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
42.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
52.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
36.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
34.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) (neg.f32 (*.f32 x (*.f32 x x))))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.1%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
28.7%
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) (*.f32 s s)) #s(literal -4 binary32))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal -2 binary32)))
29.4%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
30.1%
(*.f32 (*.f32 s s) (fma.f32 #s(literal 4 binary32) (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
29.2%
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
▶7.4%
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
✓99.8%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓35.2%
#s(literal 1/2 binary32)
Compiler

Compiled 1 540 to 953 computations (38.1% saved)

simplify265.0ms (2.4%)

Memory
19.3MiB live, 292.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) s)
✓cost-diff160
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
✓cost-diff544
(/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x))
✓cost-diff0
(/.f32 (*.f32 x x) s)
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓cost-diff192
(fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
✓cost-diff192
(fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
✓cost-diff0
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
✓cost-diff64
(*.f32 #s(literal 2 binary32) (neg.f32 s))
✓cost-diff160
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
Rules
4 658×lower-fma.f64
4 646×lower-fma.f32
3 150×lower-*.f64
3 136×lower-*.f32
2 440×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036257
071253
1131238
2282234
3667234
41348234
52277234
62861234
73236234
83527234
94061234
105497234
116576234
127550234
137905234
08038230
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(*.f32 (E.f32) (sqrt.f32 (E.f32)))
(E.f32)
(sqrt.f32 (E.f32))
(/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))
x
(*.f32 #s(literal 2 binary32) (neg.f32 s))
#s(literal 2 binary32)
(neg.f32 s)
s
(exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32))
(/.f32 x s)
x
s
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
#s(literal 2 binary32)
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32))
(/.f32 (*.f32 x x) s)
(*.f32 x x)
(/.f32 #s(literal -1/48 binary32) s)
#s(literal -1/48 binary32)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) s)
#s(literal 1 binary32)
s
(/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(*.f32 x x)
x
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
#s(literal -1/48 binary32)
(*.f32 s s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1/2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 s #s(literal -2 binary32)))) (exp.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 s #s(literal -2 binary32)))) (exp.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s)) #s(literal 1 binary32))
(pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 s #s(literal -2 binary32))))
(*.f32 (E.f32) (sqrt.f32 (E.f32)))
(E.f32)
(sqrt.f32 (E.f32))
(/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 x (*.f32 s #s(literal -2 binary32)))
x
(*.f32 #s(literal 2 binary32) (neg.f32 s))
(*.f32 s #s(literal -2 binary32))
#s(literal 2 binary32)
(neg.f32 s)
s
(exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(exp.f32 (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(/.f32 (*.f32 x #s(literal -1/4 binary32)) s)
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 x (*.f32 #s(literal 2 binary32) (*.f32 s s))) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32))
(fma.f32 x (/.f32 x (*.f32 #s(literal 2 binary32) (*.f32 s s))) #s(literal 2 binary32))
(/.f32 x s)
x
s
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(/.f32 x (*.f32 #s(literal 2 binary32) s))
(*.f32 #s(literal 1/2 binary32) x)
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(literal 2 binary32)
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32))
(fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32))
(/.f32 (*.f32 x x) s)
(*.f32 x x)
(/.f32 #s(literal -1/48 binary32) s)
#s(literal -1/48 binary32)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) s)
#s(literal 1 binary32)
s
(/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32))
(*.f32 x x)
x
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
#s(literal -1/48 binary32)
(*.f32 s s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1/2 binary32)

localize147.0ms (1.3%)

Memory
10.0MiB live, 293.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
✓accuracy99.1%
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
✓accuracy98.6%
(/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x))
✓accuracy83.6%
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
✓accuracy99.8%
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓accuracy99.7%
(fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32))
✓accuracy98.9%
(/.f32 #s(literal -1/48 binary32) s)
✓accuracy92.2%
(/.f32 (*.f32 x x) s)
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) x)
✓accuracy99.5%
(fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32))
✓accuracy99.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.7%
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
✓accuracy99.9%
(exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
✓accuracy99.7%
(pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
✓accuracy99.7%
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
Samples
83.0ms256×0valid
Compiler

Compiled 270 to 44 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 20.0ms (31.5% of total)
ival-div: 18.0ms (28.4% of total)
ival-add: 7.0ms (11% of total)
ival-pow: 5.0ms (7.9% of total)
const: 4.0ms (6.3% of total)
ival-sqrt: 3.0ms (4.7% of total)
ival-exp: 2.0ms (3.2% of total)
ival-e: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series125.0ms (1.1%)

Memory
-18.8MiB live, 54.2MiB allocated
Counts
21 → 444
Calls
Call 1
Inputs
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))>
#<alt (*.f32 #s(literal 2 binary32) (neg.f32 s))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))>
#<alt (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))>
#<alt (*.f32 #s(literal 1/4 binary32) (/.f32 x s))>
#<alt (/.f32 x s)>
#<alt (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))>
#<alt (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)>
#<alt (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32))>
#<alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))>
#<alt (/.f32 (*.f32 x x) s)>
#<alt (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x))>
#<alt (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) s)>
#<alt (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))>
#<alt (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))>
#<alt (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))>
#<alt (*.f32 #s(literal 1/2 binary32) x)>
#<alt (/.f32 #s(literal -1/48 binary32) s)>
#<alt (/.f32 #s(literal -1/48 binary32) (*.f32 s s))>
Outputs
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -1/4 (/ x s))>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt (* -2 s)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* x (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/32 (/ 1 (pow s 2))) (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (+ (* -1/8 (* (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (* 1/4 (- (+ (* -1/32 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 3))) (+ (* -1/48 (/ (pow (log (sqrt (pow (E) 3))) 3) (pow s 3))) (* -1/64 (/ (log (sqrt (pow (E) 3))) (pow s 3))))) (* 1/384 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt (/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))) (pow s 2)))) (* 1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)))>
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#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))>
#<alt (* -1/48 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))>
#<alt (/ 1 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 1/4>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))>
#<alt (* -1/48 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (+ 1 (* x (+ (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/8 (/ (* x (pow (log (sqrt (pow (E) 3))) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* x (+ (* -1/48 (/ (* x (pow (log (sqrt (pow (E) 3))) 3)) (pow s 3))) (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))))))))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (+ 1 (+ (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)) (+ (* -1/48 (/ (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 3)) (pow s 3))) (* 1/8 (/ (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)) s)) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)))) s)) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) s)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/32 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/384 (/ x (pow s 3))) (* 1/32 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt (exp (* -1/4 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ x s)))>
#<alt (+ 1 (+ (* -1/4 (/ x s)) (* 1/32 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/4 (/ x s)) (+ (* -1/384 (/ (pow x 3) (pow s 3))) (* 1/32 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/32 (/ (pow x 2) s)) (* 1/4 x)) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/384 (/ (pow x 3) s)) (* 1/32 (pow x 2))) s)) (* 1/4 x)) s)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 s)>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
#<alt (/ -1/48 (pow s 2))>
Calls

111 calls:

TimeVariablePointExpression
62.0ms
s
@inf
(* 2 (neg s))
34.0ms
s
@inf
(/ -1/48 s)
2.0ms
x
@0
(/ 1 (+ (* (pow (* (E) (sqrt (E))) (/ x (* 2 (neg s)))) (exp (* 1/2 (/ x (* 2 (neg s)))))) 1))
2.0ms
s
@inf
(/ 1 (+ (* (pow (* (E) (sqrt (E))) (/ x (* 2 (neg s)))) (exp (* 1/2 (/ x (* 2 (neg s)))))) 1))
1.0ms
s
@-inf
(/ 1 (+ (* (pow (* (E) (sqrt (E))) (/ x (* 2 (neg s)))) (exp (* 1/2 (/ x (* 2 (neg s)))))) 1))

rewrite282.0ms (2.5%)

Memory
48.0MiB live, 527.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 868×lower-*.f64
4 854×lower-*.f32
3 134×lower-/.f64
3 112×lower-/.f32
2 866×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036200
071196
1304163
22305158
08096156
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 583
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(*.f32 #s(literal 2 binary32) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/.f32 x s)
(fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 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)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 (*.f32 x x) s)
(/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) s)
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))))
(*.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal -1/48 binary32) s)
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
Outputs
(neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 2 binary32) s)))
(pow.f32 (/.f32 (*.f32 #s(literal -2 binary32) s) (*.f32 #s(literal 1/2 binary32) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal -1 binary32))
(pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -2 binary32) s) x)) #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -2 binary32) s) x))
(/.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) s)))
(/.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) s) (*.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -2 binary32) s) x)))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal -2 binary32) s))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal -2 binary32))
(/.f32 (neg.f32 x) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) s)))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 2 binary32) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 s))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) (neg.f32 s))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (neg.f32 s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))
(*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) #s(literal 1/2 binary32)))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) s)))
(*.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) #s(literal 2 binary32)))
(*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/2 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 #s(literal 1/2 binary32) x))
(*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/4 binary32))
(neg.f32 (*.f32 #s(literal 2 binary32) s))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) s))
(*.f32 #s(literal 2 binary32) (neg.f32 s))
(*.f32 (neg.f32 s) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) s))
(*.f32 #s(literal -2 binary32) s)
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 3 binary32))))) (-.f32 (+.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 2 binary32))) #s(literal -1 binary32))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 2 binary32))) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))
(+.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s))))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (+.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)) #s(literal 2 binary32))) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1 binary32))
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(pow.f32 (exp.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal 3/2 binary32))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))
(pow.f32 (exp.f32 (*.f32 #s(literal 3/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) #s(literal 3 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal 3/2 binary32) x)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) #s(literal 1 binary32)) (/.f32 x (*.f32 #s(literal -2 binary32) s)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (*.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) s)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 #s(literal 1/2 binary32) (neg.f32 s))) x)
(pow.f32 (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) x) (*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) x) (/.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) s)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) x) (/.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) #s(literal 1/4 binary32)) (/.f32 x (neg.f32 s)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 #s(literal 1/2 binary32) x))
(pow.f32 (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 x (neg.f32 s))) #s(literal 1/4 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 (neg.f32 x) (*.f32 #s(literal -2 binary32) s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 2 binary32) s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal 3/2 binary32) x)) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))))
(*.f32 (exp.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 3/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (exp.f32 (*.f32 #s(literal 3/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))))
(*.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (pow.f32 (pow.f32 (E.f32) #s(literal 5/6 binary32)) (/.f32 x (*.f32 #s(literal -2 binary32) s))))
(*.f32 (pow.f32 (*.f32 (sqrt.f32 (E.f32)) (exp.f32 #s(literal 2/3 binary32))) (/.f32 x (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))))
(*.f32 (pow.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))))
(*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (pow.f32 (pow.f32 (E.f32) #s(literal 5/6 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))))
(*.f32 (pow.f32 (*.f32 (sqrt.f32 (E.f32)) (exp.f32 #s(literal 2/3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))))
(*.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))))
(*.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (pow.f32 (pow.f32 (E.f32) #s(literal 5/6 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))))
(*.f32 (pow.f32 (*.f32 (sqrt.f32 (E.f32)) (exp.f32 #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))))
(*.f32 (pow.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (sqrt.f32 (E.f32))) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))))
(*.f32 (pow.f32 (*.f32 (*.f32 (E.f32) (E.f32)) (exp.f32 #s(literal 2/3 binary32))) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))
(exp.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/2 binary32) (neg.f32 s))))
(pow.f32 (E.f32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))
(pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(pow.f32 (sqrt.f32 (E.f32)) (/.f32 x (*.f32 #s(literal -2 binary32) s)))
(pow.f32 (sqrt.f32 (E.f32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(pow.f32 (exp.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 3 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))) #s(literal 2 binary32)))
(pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(pow.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s)))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) s)))
(pow.f32 (exp.f32 x) (/.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (E.f32))) (/.f32 x (neg.f32 s)))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 #s(literal 1/2 binary32) x))
(pow.f32 (pow.f32 (E.f32) (/.f32 x (neg.f32 s))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) s)))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s))) x)
(pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s))) (*.f32 #s(literal 1/2 binary32) x))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1/4 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 2 binary32) s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))
(/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x (*.f32 #s(literal 2 binary32) s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (neg.f32 x) (*.f32 #s(literal -2 binary32) s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 2 binary32) s))))
(sqrt.f32 (exp.f32 (/.f32 x (*.f32 #s(literal -2 binary32) s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) (pow.f32 (exp.f32 #s(literal 1/6 binary32)) (/.f32 x (*.f32 #s(literal -2 binary32) s))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (pow.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))
(*.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1/2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (*.f32 #s(literal -2 binary32) s)))) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -1 binary32))
(/.f32 x #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) x))
(/.f32 (neg.f32 x) #s(literal -2 binary32))
(*.f32 #s(literal 1/2 binary32) x)
(*.f32 x #s(literal 1/2 binary32))
(neg.f32 (/.f32 #s(literal 1/48 binary32) s))
(exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal -48 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s #s(literal -48 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s #s(literal -48 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 s #s(literal -48 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -48 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1/48 binary32) s)
(/.f32 #s(literal -1/48 binary32) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal -48 binary32))))
(/.f32 #s(literal 1/48 binary32) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/48 binary32) s))
(*.f32 #s(literal -1/48 binary32) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/48 binary32))
(*.f32 #s(literal 1/48 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(neg.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)))
(exp.f32 (*.f32 (log.f32 (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s (*.f32 s #s(literal -48 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 s #s(literal -48 binary32)) s) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (*.f32 s #s(literal -48 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (/.f32 #s(literal -1/48 binary32) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s #s(literal -48 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal -48 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal -1/48 binary32) s)))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
(/.f32 #s(literal -1/48 binary32) (neg.f32 (*.f32 s (neg.f32 s))))
(/.f32 (/.f32 #s(literal -1/48 binary32) s) s)
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s (*.f32 s #s(literal -48 binary32)))))
(/.f32 #s(literal 1/48 binary32) (*.f32 s (neg.f32 s)))
(/.f32 (neg.f32 (/.f32 #s(literal -1/48 binary32) s)) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)))
(*.f32 #s(literal -1/48 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
(*.f32 (/.f32 #s(literal -1/48 binary32) s) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1/48 binary32) s))
(*.f32 #s(literal 1/48 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (neg.f32 s))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -1/48 binary32))

simplify469.0ms (4.2%)

Memory
-6.1MiB live, 946.4MiB allocated
Algorithm
1×egg-herbie
Rules
10 494×lower-fma.f64
10 494×lower-fma.f32
6 342×lower-*.f64
6 342×lower-*.f32
3 526×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04795643
113945481
248455152
084814862
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -1/4 (/ x s))
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
(* -2 s)
1/2
(+ 1/2 (* -1/4 (* x (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/32 (/ 1 (pow s 2))) (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (+ (* -1/8 (* (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (* 1/4 (- (+ (* -1/32 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 3))) (+ (* -1/48 (/ (pow (log (sqrt (pow (E) 3))) 3) (pow s 3))) (* -1/64 (/ (log (sqrt (pow (E) 3))) (pow s 3))))) (* 1/384 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))
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(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) 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 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
1
(+ 1 (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(+ 1 (* x (+ (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/8 (/ (* x (pow (log (sqrt (pow (E) 3))) 2)) (pow s 2))))))
(+ 1 (* x (+ (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* x (+ (* -1/48 (/ (* x (pow (log (sqrt (pow (E) 3))) 3)) (pow s 3))) (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))))))))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
1
(+ 1 (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(+ 1 (+ (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)) (* 1/8 (/ (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)) (+ (* -1/48 (/ (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 3)) (pow s 3))) (* 1/8 (/ (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)) (pow s 2))))))
1
(+ 1 (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(+ 1 (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)) s)) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)))) s)) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) s)))
1
(+ 1 (* -1/4 (/ x s)))
(+ 1 (* x (- (* 1/32 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/384 (/ x (pow s 3))) (* 1/32 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
(exp (* -1/4 (/ x s)))
1
(+ 1 (* -1/4 (/ x s)))
(+ 1 (+ (* -1/4 (/ x s)) (* 1/32 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/4 (/ x s)) (+ (* -1/384 (/ (pow x 3) (pow s 3))) (* 1/32 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1/4 (/ x s)))
(+ 1 (* -1 (/ (+ (* -1/32 (/ (pow x 2) s)) (* 1/4 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/384 (/ (pow x 3) s)) (* 1/32 (pow x 2))) s)) (* 1/4 x)) s)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 s)
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
Outputs
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -1/4 (/ x s))
(/.f32 (*.f32 #s(literal -1/4 binary32) x) s)
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
(* -2 s)
(*.f32 s #s(literal -2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/4 (* x (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))))
(fma.f32 #s(literal -1/4 binary32) (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))
(fma.f32 x (fma.f32 x (fma.f32 (pow.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 2 binary32)) #s(literal 1/8 binary32) (neg.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 (+.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 1 binary32)) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s s))) (/.f32 #s(literal 1/128 binary32) (*.f32 s s))))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))))) s) (/.f32 #s(literal 1/16 binary32) s))) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/32 (/ 1 (pow s 2))) (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (+ (* -1/8 (* (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))) (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))))) (* 1/4 (- (+ (* -1/32 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 3))) (+ (* -1/48 (/ (pow (log (sqrt (pow (E) 3))) 3) (pow s 3))) (* -1/64 (/ (log (sqrt (pow (E) 3))) (pow s 3))))) (* 1/384 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s))) 2)) (* 1/4 (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* 1/32 (/ 1 (pow s 2))))))))) (* 1/4 (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))))
(fma.f32 x (fma.f32 x (neg.f32 (fma.f32 x (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal -1/32 binary32) (/.f32 (pow.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 2 binary32)) (*.f32 s (*.f32 s s))) (fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) #s(literal 3 binary32)) (fma.f32 #s(literal -1/64 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/384 binary32) (*.f32 s (*.f32 s s)))))) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) (fma.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/32 binary32) (*.f32 (+.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 1 binary32)) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s s))) (/.f32 #s(literal 1/128 binary32) (*.f32 s s)))) (fma.f32 #s(literal -1/8 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 (+.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 1 binary32)) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s s)))) (/.f32 #s(literal -1/256 binary32) (*.f32 s s)))))) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/32 binary32) (*.f32 (+.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 1 binary32)) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s s))) (/.f32 #s(literal 1/128 binary32) (*.f32 s s)))))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))))) s) (/.f32 #s(literal 1/16 binary32) s))) #s(literal 1/2 binary32))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
(/ 1 (+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal -1/4 binary32))) s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))) (pow s 2)))) (* 1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)))
(-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal -1/4 binary32))) s) #s(literal 1/2 binary32)) (/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal -1/4 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/32 binary32) (*.f32 (*.f32 x (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32)))))) (fma.f32 x (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) x)) (*.f32 (*.f32 x x) #s(literal 1/128 binary32)))) (*.f32 s s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) (+ (* -1/8 (pow (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))))) (+ (* -1/8 (* (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))) (* 1/4 (+ (* -1/32 (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 2))) (+ (* -1/48 (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 3))) (+ (* -1/64 (* (pow x 3) (log (sqrt (pow (E) 3))))) (* -1/384 (pow x 3)))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) 2) (pow s 2))) (+ (* 1/4 (/ (+ (* -1/2 (* x (log (sqrt (pow (E) 3))))) (* -1/4 x)) s)) (* 1/4 (/ (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))) (pow s 2))))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) s)))
(fma.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) 2) s)) (* 1/4 (/ (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))) s))) (* 1/4 (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))))) s)))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (pow (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))))) (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3))))))) s)) (+ (* -1/8 (/ (* (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2))))) (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3))))))) s)) (* 1/4 (/ (+ (* 1/384 (pow x 3)) (+ (* 1/64 (* (pow x 3) (log (sqrt (pow (E) 3))))) (+ (* 1/48 (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 3))) (* 1/32 (* (pow x 3) (pow (log (sqrt (pow (E) 3))) 2)))))) s)))) (+ (* -1/8 (pow (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))) 2)) (* 1/4 (+ (* 1/32 (pow x 2)) (+ (* 1/8 (* (pow x 2) (log (sqrt (pow (E) 3))))) (* 1/8 (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)))))))) s)) (* 1/4 (+ (* 1/4 x) (* 1/2 (* x (log (sqrt (pow (E) 3)))))))) s)))
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2
#s(literal 2 binary32)
(+ 2 (* x (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 2 binary32))
(+ 2 (* x (- (+ (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* x (+ (* 1/32 (/ 1 (pow s 2))) (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))))))) (* 1/4 (/ 1 s)))))
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(+ 2 (* x (- (+ (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* x (+ (* 1/32 (/ 1 (pow s 2))) (+ (* 1/8 (/ (log (sqrt (pow (E) 3))) (pow s 2))) (+ (* 1/8 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 2))) (* x (- (+ (* -1/32 (/ (pow (log (sqrt (pow (E) 3))) 2) (pow s 3))) (+ (* -1/48 (/ (pow (log (sqrt (pow (E) 3))) 3) (pow s 3))) (* -1/64 (/ (log (sqrt (pow (E) 3))) (pow s 3))))) (* 1/384 (/ 1 (pow s 3)))))))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/8 binary32) (*.f32 (+.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 1 binary32)) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s s))) (fma.f32 x (fma.f32 #s(literal -1/32 binary32) (/.f32 (pow.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) #s(literal 2 binary32)) (*.f32 s (*.f32 s s))) (fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) #s(literal 3 binary32)) (fma.f32 #s(literal -1/64 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/384 binary32) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1/32 binary32) (*.f32 s s)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s))) #s(literal 2 binary32))
(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)))))
(+ 1 (* (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))) (exp (* -1/4 (/ x s)))))
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2
#s(literal 2 binary32)
(+ 2 (+ (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)) (* -1/4 (/ x s))))
(fma.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 (log.f32 (sqrt.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))))) s) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 2 binary32))
(+ 2 (+ (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)) (+ (* -1/4 (/ x s)) (+ (* 1/32 (/ (pow x 2) (pow s 2))) (+ (* 1/8 (/ (* (pow x 2) (log (sqrt (pow (E) 3)))) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (sqrt (pow (E) 3))) 2)) (pow s 2))))))))
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#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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(/ -1/48 (pow s 2))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))

eval177.0ms (1.6%)

Memory
24.6MiB live, 220.5MiB allocated
Compiler

Compiled 25 199 to 2 172 computations (91.4% saved)

prune136.0ms (1.2%)

Memory
-23.4MiB live, 387.0MiB allocated
Pruning

47 alts after pruning (38 fresh and 9 done)

PrunedKeptTotal
New1 112131 125
Fresh62531
Picked415
Done088
Total1 122471 169
Accuracy
100.0%
Counts
1 169 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.6%
(fma.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) s) x #s(literal 1/2 binary32))
23.9%
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
26.7%
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓23.9%
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 binary32))
23.9%
(fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
29.3%
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
26.7%
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) x) (/.f32 x s) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
20.5%
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
✓29.3%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
20.3%
(/.f32 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
32.0%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
34.3%
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
65.1%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
55.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) x) s)) #s(literal 1 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (E.f32) (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
✓53.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 (E.f32)) (exp.f32 #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
51.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 2 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32)))
55.4%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
52.9%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
53.3%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
34.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
32.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
42.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓57.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
39.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
55.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
53.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
52.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
42.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
52.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
36.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
34.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) (neg.f32 (*.f32 x (*.f32 x x))))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
35.8%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
34.1%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
7.4%
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
18.6%
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal -2 binary32)))
29.4%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
30.1%
(*.f32 (*.f32 s s) (fma.f32 #s(literal 4 binary32) (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
29.2%
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
✓7.4%
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
✓99.8%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓35.2%
#s(literal 1/2 binary32)
Compiler

Compiled 2 117 to 887 computations (58.1% saved)

regimes149.0ms (1.3%)

Memory
-4.1MiB live, 271.8MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 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 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 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))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal 1/4 binary32)) #s(literal 1/2 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 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(*.f32 (*.f32 s s) (fma.f32 #s(literal 4 binary32) (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 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 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (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)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) x) (/.f32 x s) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) (/.f32 s x)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) (*.f32 s s)) #s(literal -4 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 1 binary32) (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(*.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) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (E.f32) (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) 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)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 (E.f32)) (exp.f32 #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s))))) (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
Calls

7 calls:

29.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
23.0ms
x
20.0ms
(/.f32 (neg.f32 x) s)
20.0ms
(neg.f32 x)
19.0ms
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)

regimes169.0ms (1.5%)

Memory
1.8MiB live, 271.6MiB allocated
Counts
68 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 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 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 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))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal 1/4 binary32)) #s(literal 1/2 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 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(*.f32 (*.f32 s s) (fma.f32 #s(literal 4 binary32) (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 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 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (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)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) x) (/.f32 x s) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) (/.f32 s x)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) (*.f32 s s)) #s(literal -4 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 1 binary32) (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(*.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) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (E.f32) (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) 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)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))) #s(literal 1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32)))
Calls

7 calls:

40.0ms
x
35.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
20.0ms
s
20.0ms
(/.f32 (neg.f32 x) s)
20.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1s
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes139.0ms (1.2%)

Memory
-13.9MiB live, 259.3MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 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 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 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))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal 1/4 binary32)) #s(literal 1/2 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 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(*.f32 (*.f32 s s) (fma.f32 #s(literal 4 binary32) (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 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 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (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)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) x) (/.f32 x s) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) (/.f32 s x)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) (*.f32 s s)) #s(literal -4 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 1 binary32) (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(*.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) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
Calls

7 calls:

34.0ms
(neg.f32 x)
19.0ms
x
18.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
17.0ms
(/.f32 (neg.f32 x) s)
17.0ms
s
Results
AccuracySegmentsBranch
99.7%1x
99.7%1s
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes166.0ms (1.5%)

Memory
17.0MiB live, 258.2MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 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 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 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))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal 1/4 binary32)) #s(literal 1/2 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 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(*.f32 (*.f32 s s) (fma.f32 #s(literal 4 binary32) (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 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 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (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)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) x) (/.f32 x s) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) (/.f32 s x)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) (*.f32 s s)) #s(literal -4 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 1 binary32) (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

42.0ms
s
35.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
24.0ms
x
19.0ms
(/.f32 (neg.f32 x) s)
18.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1s
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes156.0ms (1.4%)

Memory
-14.4MiB live, 257.6MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 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 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 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))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal 1/4 binary32)) #s(literal 1/2 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 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(*.f32 (*.f32 s s) (fma.f32 #s(literal 4 binary32) (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 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 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (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)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) x) (/.f32 x s) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) (/.f32 s x)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x #s(literal -1/6 binary32))) (*.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) (*.f32 s s)) #s(literal -4 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 1 binary32) (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) (neg.f32 (*.f32 x (*.f32 x x))))))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
Calls

7 calls:

41.0ms
(/.f32 (neg.f32 x) s)
34.0ms
(neg.f32 x)
18.0ms
x
17.0ms
s
16.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
66.3%2x
57.8%1s
66.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
66.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
66.3%2(exp.f32 (/.f32 (neg.f32 x) s))
66.3%2(/.f32 (neg.f32 x) s)
66.3%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes54.0ms (0.5%)

Memory
24.2MiB live, 143.3MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 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 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 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))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal 1/4 binary32)) #s(literal 1/2 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 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(*.f32 (*.f32 s s) (fma.f32 #s(literal 4 binary32) (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 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 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (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)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) x) (/.f32 x s) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
Calls

4 calls:

16.0ms
(/.f32 (neg.f32 x) s)
12.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
12.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
12.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
66.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
66.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
66.3%2(exp.f32 (/.f32 (neg.f32 x) s))
66.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes65.0ms (0.6%)

Memory
5.2MiB live, 162.5MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 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 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 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))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal 1/4 binary32)) #s(literal 1/2 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 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(*.f32 (*.f32 s s) (fma.f32 #s(literal 4 binary32) (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 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 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x x)))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (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)) x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 #s(literal -18 binary32) (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/48 binary32) s) x) (/.f32 x s) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
Calls

5 calls:

14.0ms
(neg.f32 x)
13.0ms
(/.f32 (neg.f32 x) s)
13.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
12.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
11.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
66.3%2(neg.f32 x)
65.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.9%2(exp.f32 (/.f32 (neg.f32 x) s))
65.9%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 37 to 27 computations (27% saved)

regimes121.0ms (1.1%)

Memory
-26.4MiB live, 141.7MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 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 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 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))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal 1/4 binary32)) #s(literal 1/2 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 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(*.f32 (*.f32 s s) (fma.f32 #s(literal 4 binary32) (/.f32 s (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(fma.f32 (/.f32 x s) (/.f32 (fma.f32 x (*.f32 x #s(literal -1/48 binary32)) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) #s(literal 1/2 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 (fma.f32 x (*.f32 x (*.f32 x #s(literal -1/48 binary32))) (*.f32 s (*.f32 s (fma.f32 #s(literal 1/2 binary32) s (*.f32 x #s(literal 1/4 binary32)))))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x s) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32))))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))))
Calls

6 calls:

39.0ms
(/.f32 (neg.f32 x) s)
36.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
16.0ms
x
11.0ms
(neg.f32 x)
9.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
65.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.7%2(exp.f32 (/.f32 (neg.f32 x) s))
65.7%2(/.f32 (neg.f32 x) s)
65.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.3%2x
65.3%2(neg.f32 x)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes54.0ms (0.5%)

Memory
14.3MiB live, 131.0MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 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 x (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s) #s(literal 1/2 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))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32)) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (neg.f32 x) (*.f32 x (*.f32 #s(literal 1/2 binary32) x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (+.f32 (/.f32 (*.f32 x x) (*.f32 s (*.f32 s #s(literal -48 binary32)))) #s(literal 1/4 binary32)) #s(literal 1/2 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 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/48 binary32)) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
Calls

6 calls:

11.0ms
x
10.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
9.0ms
(neg.f32 x)
8.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
8.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
63.3%2x
63.3%2(neg.f32 x)
63.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
63.6%2(exp.f32 (/.f32 (neg.f32 x) s))
63.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes25.0ms (0.2%)

Memory
-7.3MiB live, 68.7MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
Calls

6 calls:

5.0ms
x
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
(neg.f32 x)
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
61.4%2x
61.4%2(neg.f32 x)
62.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
62.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
62.4%2(exp.f32 (/.f32 (neg.f32 x) s))
62.4%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes23.0ms (0.2%)

Memory
20.2MiB live, 59.9MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Calls

7 calls:

6.0ms
(/.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
s
3.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
42.1%1s
50.3%2x
50.3%2(neg.f32 x)
50.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.9%2(exp.f32 (/.f32 (neg.f32 x) s))
50.9%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes20.0ms (0.2%)

Memory
-17.4MiB live, 56.3MiB allocated
Accuracy

Total -8.9b remaining (-43.1%)

Threshold costs -8.9b (-43.1%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) (/.f32 s x))
Outputs
#s(literal 1/2 binary32)
Calls

7 calls:

4.0ms
x
2.0ms
(neg.f32 x)
2.0ms
s
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
35.2%1s
35.2%1x
35.2%1(neg.f32 x)
35.2%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
35.2%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
35.2%1(exp.f32 (/.f32 (neg.f32 x) s))
35.2%1(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.8284924030303955
-0.4745432734489441
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.8284924030303955
-0.4745432734489441
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
5.797969388155327e-25
7.30403914006983e-23
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
26.03279685974121
57.74016571044922
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
26.03279685974121
57.74016571044922
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.8447929620742798
2.4555718898773193
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
-2.8284924030303955
-0.4745432734489441
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify12.0ms (0.1%)

Memory
-12.5MiB live, 25.7MiB allocated
Algorithm
1×egg-herbie
Rules
38×*-commutative_binary32
26×+-commutative_binary32
14×neg-sub0_binary32
14×neg-mul-1_binary32
14×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086217
1118217
2131217
3143217
4148217
5151217
6152217
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) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(if (<=.f32 (neg.f32 x) #s(literal 10141205/10141204801825835211973625643008 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1/2 binary32)
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) x) (*.f32 #s(literal -2 binary32) s))) (exp.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (*.f32 x #s(literal 3/2 binary32)) (*.f32 s #s(literal -2 binary32)))) (exp.f32 (neg.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(if (<=.f32 (neg.f32 x) #s(literal 10141205/10141204801825835211973625643008 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) (*.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1/2 binary32)

soundness1.9s (16.7%)

Memory
6.0MiB live, 1 250.4MiB allocated
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
10 636×lower-fma.f64
10 636×lower-fma.f32
10 494×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035202
069202
1324196
22908196
08416193
06885070
121014507
266604461
080464211
04795643
113945481
248455152
084814862
036200
071196
1304163
22305158
08096156
08065682
124195035
082074632
033195
065188
1287183
22632181
09370177
0140758
1378748
21147742
33893722
08438682
0827
01327
14827
225527
3210127
0846526
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×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×node limit
1×iter limit
Compiler

Compiled 457 to 247 computations (46% saved)

preprocess99.0ms (0.9%)

Memory
6.4MiB live, 119.4MiB allocated
Compiler

Compiled 460 to 188 computations (59.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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