Logistic function

Time bar (total: 10.0s)

analyze37.0ms (0.4%)

Memory
-2.2MiB live, 77.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.2s (12.1%)

Memory
-125.8MiB live, 2 263.1MiB allocated
Samples
951.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 765.0ms
const: 412.0ms (53.9% of total)
ival-div: 129.0ms (16.9% of total)
ival-exp: 72.0ms (9.4% of total)
ival-<=: 46.0ms (6% of total)
ival-neg: 45.0ms (5.9% of total)
ival-add: 37.0ms (4.8% of total)
ival-and: 11.0ms (1.4% of total)
exact: 11.0ms (1.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess31.0ms (0.3%)

Memory
33.7MiB live, 73.6MiB 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)))))

explain127.0ms (1.3%)

Memory
-22.9MiB live, 256.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
02(7.613930997611666e-28 2.5962182642430632e-30)0-(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))sensitivity20
Confusion
Predicted +Predicted -
+00
-2254
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-20254
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
48.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (42% of total)
ival-exp: 4.0ms (24% of total)
ival-neg: 3.0ms (18% of total)
ival-add: 2.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize27.0ms (0.3%)

Memory
-23.9MiB live, 53.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.9%
(exp.f32 (/.f32 (neg.f32 x) s))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Samples
17.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (36.2% of total)
ival-exp: 2.0ms (24.1% of total)
ival-add: 1.0ms (12.1% of total)
ival-neg: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))>
#<alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))>
#<alt (exp.f32 (/.f32 (neg.f32 x) s))>
#<alt (/.f32 (neg.f32 x) s)>
#<alt (neg.f32 x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

27 calls:

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

rewrite288.0ms (2.9%)

Memory
9.8MiB live, 563.4MiB 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)))

simplify644.0ms (6.5%)

Memory
-14.5MiB live, 1 153.0MiB 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)

eval80.0ms (0.8%)

Memory
1.2MiB live, 189.8MiB allocated
Compiler

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

prune164.0ms (1.6%)

Memory
11.5MiB live, 254.7MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New8099818
Fresh000
Picked011
Done000
Total80910819
Accuracy
100.0%
Counts
819 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.3%
(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))
29.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
▶55.5%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
54.6%
(/.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)))
▶43.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
▶56.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
46.3%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
▶64.2%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 295 to 196 computations (33.6% saved)

simplify264.0ms (2.7%)

Memory
3.6MiB live, 590.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓cost-diff64
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
✓cost-diff64
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
✓cost-diff320
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓cost-diff0
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓cost-diff0
(/.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)))
Rules
8 980×lower-fma.f64
8 974×lower-fma.f32
2 966×lower-*.f64
2 958×lower-*.f32
1 862×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031254
060238
1104231
2211231
3399225
4642225
51595222
64249222
75955222
87369222
08095210
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 1 binary32)
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 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)))
#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))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)
(-.f32 (/.f32 (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)
(/.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)
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 (*.f32 x (*.f32 x x)) s)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
s
#s(literal -1/6 binary32)
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
Outputs
(*.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 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(/.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(literal -2 binary32)) s)))
#s(literal 1 binary32)
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(/.f32 (-.f32 (neg.f32 x) x) s)
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(-.f32 (neg.f32 x) x)
(*.f32 x #s(literal -2 binary32))
(neg.f32 x)
x
s
(expm1.f32 (/.f32 (neg.f32 x) s))
(expm1.f32 (neg.f32 (/.f32 x s)))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 1 binary32)
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) (fma.f32 (/.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 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 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))
(fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 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)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
#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))
(fma.f32 (/.f32 x s) (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)
(/.f32 (*.f32 x (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32))) s)
(-.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)
(*.f32 x (fma.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)))
(/.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)
(*.f32 (/.f32 (*.f32 x x) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(/.f32 (*.f32 x (*.f32 x x)) s)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
s
#s(literal -1/6 binary32)
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
#s(literal 1/2 binary32)

localize183.0ms (1.8%)

Memory
-10.0MiB live, 312.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓accuracy95.2%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy90.2%
(/.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)
✓accuracy89.0%
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.7%
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓accuracy99.7%
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓accuracy99.3%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy98.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy99.9%
(expm1.f32 (/.f32 (neg.f32 x) s))
✓accuracy99.9%
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
✓accuracy99.8%
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
✓accuracy96.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
Samples
87.0ms174×0valid
19.0ms82×0exit
Compiler

Compiled 277 to 36 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
const: 42.0ms (49.4% of total)
ival-div: 19.0ms (22.3% of total)
ival-mult: 10.0ms (11.8% of total)
ival-add: 5.0ms (5.9% of total)
ival-expm1: 4.0ms (4.7% of total)
ival-sub: 4.0ms (4.7% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
19.8MiB live, 98.9MiB allocated
Counts
17 → 408
Calls
Call 1
Inputs
#<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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))>
#<alt (-.f32 #s(literal 2 binary32) (/.f32 x s))>
#<alt (/.f32 x s)>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))>
#<alt (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))>
#<alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))>
#<alt (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))>
#<alt (+.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))>
#<alt (-.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)>
#<alt (/.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)))>
#<alt (expm1.f32 (/.f32 (neg.f32 x) s))>
#<alt (/.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)>
#<alt (/.f32 (*.f32 x (*.f32 x x)) s)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt 1/2>
#<alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<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))>
#<alt (/ (+ (* -1/2 s) (* -1/2 x)) x)>
#<alt (/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)>
#<alt (/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<alt (/ 1 (- (exp (* -2 (/ x s))) 1))>
#<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)))))>
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#<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))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
Calls

102 calls:

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

rewrite311.0ms (3.1%)

Memory
16.7MiB live, 799.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 854×lower-/.f64
4 834×lower-/.f32
4 170×lower-*.f64
4 162×lower-*.f32
2 590×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031188
060176
1260167
22268167
08444167
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 860
Calls
Call 1
Inputs
(*.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)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(-.f32 (/.f32 (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)
(/.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)))
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.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)
(/.f32 (*.f32 x (*.f32 x x)) s)
Outputs
(+.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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(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)))
(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)))))
(-.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (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 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (/.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)))))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (+.f32 x x) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (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 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 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 (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 (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal -1 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (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 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.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 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (+.f32 (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) (expm1.f32 (/.f32 (+.f32 x x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) #s(literal -1 binary32))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.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))))) (neg.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))) (neg.f32 (+.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))) (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) (expm1.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (/.f32 x (neg.f32 s))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))
(*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (expm1.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 x x) s)))))
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(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32)))) (neg.f32 (*.f32 s (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))))
(/.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))) s)))
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)))
(/.f32 (neg.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32)))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))))
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s))
(*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) (/.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))))
(*.f32 (pow.f32 (/.f32 s (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s))) s) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 s s)))))
(neg.f32 (/.f32 (*.f32 x (*.f32 x x)) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (*.f32 x (*.f32 x x)) s))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32))))
(/.f32 (*.f32 x (*.f32 x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(*.f32 x (/.f32 (*.f32 x x) s))
(*.f32 (*.f32 x x) (/.f32 x s))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 x x) s) x)
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (*.f32 x x) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (*.f32 x x) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (*.f32 x (neg.f32 x)) s))
(*.f32 (/.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 x (neg.f32 s)))
(*.f32 (/.f32 (*.f32 x x) #s(literal -1 binary32)) (/.f32 x s))
(*.f32 (/.f32 (*.f32 x (neg.f32 x)) #s(literal -1 binary32)) (/.f32 x s))
(*.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (neg.f32 x) #s(literal 3/2 binary32)) s))
(*.f32 (/.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 x #s(literal 3/2 binary32)) s))

simplify445.0ms (4.5%)

Memory
2.3MiB live, 726.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 876×lower-fma.f64
8 876×lower-fma.f32
5 262×lower-*.f64
5 262×lower-*.f32
3 366×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07934897
124194653
277584627
082594283
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
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)))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
1/2
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
1/2
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(* -1/2 (/ s x))
(/ (+ (* -1/2 s) (* -1/2 x)) x)
(/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)
(/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x))))) (pow s 3))) (+ (* -1/3 (/ x (pow s 2))) (+ (* 1/2 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/3 x))) s)) (+ (* -1/3 (/ (pow x 2) s)) (* 1/6 (/ (pow x 2) s)))) (+ (* -1/2 x) (* 1/3 x))) s)) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -2 (/ x s))
(* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(* -2 (/ x s))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(* -2 (/ x s))
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* -1 (/ s x))
(/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)
(/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)
(/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)
(* -1 (/ s x))
(* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))
(* -1 (/ s x))
(* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))
(* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
(* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(* -1 (/ 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))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/480 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
1/2
#s(literal 1/2 binary32)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
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(/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/.f32 (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) 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 (fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) x) #s(literal 1/24 binary32)) (*.f32 s (*.f32 s s)))) s)
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) 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 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) 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 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) x) s) #s(literal -1/24 binary32) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32))) (neg.f32 s))) s)) (neg.f32 s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)

eval195.0ms (2%)

Memory
-31.2MiB live, 336.2MiB allocated
Compiler

Compiled 37 550 to 4 487 computations (88.1% saved)

prune170.0ms (1.7%)

Memory
-9.6MiB live, 478.6MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New1 359231 382
Fresh134
Picked325
Done011
Total1 363291 392
Accuracy
100.0%
Counts
1 392 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.3%
(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))
29.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
32.8%
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
33.1%
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
▶64.4%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
▶21.2%
(/.f32 s (neg.f32 x))
53.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
56.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) #s(literal 2 binary32)))
43.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
54.6%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
57.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
33.0%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
33.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
33.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
▶33.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
22.3%
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
56.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)) s)))
✓43.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
49.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s)) s)))
56.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) x) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
50.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s)) x) s)))
54.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
32.7%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
▶33.0%
(/.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)))))
29.4%
(*.f32 (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (*.f32 s #s(literal -1/2 binary32))) x) (expm1.f32 (/.f32 (neg.f32 x) s)))
23.0%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
▶31.0%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
✓35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 981 to 628 computations (36% saved)

simplify259.0ms (2.6%)

Memory
14.4MiB live, 401.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
✓cost-diff0
(*.f32 s s)
✓cost-diff0
(*.f32 s (*.f32 s s))
✓cost-diff480
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
✓cost-diff0
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
✓cost-diff0
(*.f32 x x)
✓cost-diff352
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
✓cost-diff384
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
✓cost-diff0
(neg.f32 x)
✓cost-diff0
(/.f32 s (neg.f32 x))
✓cost-diff0
(neg.f32 s)
✓cost-diff0
(/.f32 x (neg.f32 s))
✓cost-diff0
(expm1.f32 (/.f32 x (neg.f32 s)))
✓cost-diff0
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
Rules
5 180×lower-fma.f64
5 178×lower-fma.f32
3 810×lower-*.f64
3 790×lower-*.f32
3 006×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035235
065215
1135205
2309205
3779200
42011194
52755192
63592192
74972192
86903192
08165189
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(expm1.f32 (/.f32 x (neg.f32 s)))
(/.f32 x (neg.f32 s))
x
(neg.f32 s)
s
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(*.f32 x #s(literal -2 binary32))
#s(literal -2 binary32)
(/.f32 s (neg.f32 x))
s
(neg.f32 x)
x
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
#s(literal 1 binary32)
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(*.f32 x x)
x
(*.f32 s s)
s
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
#s(literal 1 binary32)
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))
(*.f32 x x)
x
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
(/.f32 #s(literal -1 binary32) (*.f32 x s))
#s(literal -1 binary32)
(*.f32 x s)
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(*.f32 s (*.f32 s s))
s
(*.f32 s s)
(fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(*.f32 (*.f32 x (*.f32 x x)) x)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
#s(literal -18 binary32)
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
#s(literal -6 binary32)
Outputs
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 x (/.f32 #s(literal -2 binary32) s))))
(expm1.f32 (/.f32 x (neg.f32 s)))
(/.f32 x (neg.f32 s))
x
(neg.f32 s)
s
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(expm1.f32 (*.f32 x (/.f32 #s(literal -2 binary32) s)))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(*.f32 x (/.f32 #s(literal -2 binary32) s))
(*.f32 x #s(literal -2 binary32))
#s(literal -2 binary32)
(/.f32 s (neg.f32 x))
s
(neg.f32 x)
x
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(*.f32 #s(literal 2 binary32) (*.f32 s (/.f32 s (*.f32 x x))))
#s(literal 1 binary32)
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
#s(literal 1/2 binary32)
(*.f32 x x)
x
(*.f32 s s)
s
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 s (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) x))
#s(literal 1 binary32)
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))
(*.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))
(*.f32 x x)
x
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
(/.f32 #s(literal -1 binary32) (*.f32 x s))
#s(literal -1 binary32)
(*.f32 x s)
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(*.f32 s (*.f32 (/.f32 s (*.f32 x (*.f32 x x))) (*.f32 s (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)))))
(*.f32 s (*.f32 s s))
s
(*.f32 s s)
(fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(fma.f32 s (/.f32 #s(literal -18 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 s (*.f32 x (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 x (*.f32 x x)) x)
(*.f32 x (*.f32 x (*.f32 x x)))
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
#s(literal -18 binary32)
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
#s(literal -6 binary32)

localize147.0ms (1.5%)

Memory
-1.0MiB live, 197.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.6%
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
✓accuracy98.1%
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
✓accuracy84.9%
(fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
✓accuracy79.1%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
✓accuracy99.6%
(/.f32 #s(literal -1 binary32) (*.f32 x s))
✓accuracy99.3%
(/.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)))))
✓accuracy93.4%
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
✓accuracy75.5%
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))
✓accuracy100.0%
(*.f32 s s)
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
✓accuracy99.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
✓accuracy80.4%
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
✓accuracy100.0%
(/.f32 s (neg.f32 x))
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(neg.f32 s)
✓accuracy99.9%
(expm1.f32 (/.f32 x (neg.f32 s)))
✓accuracy99.9%
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
✓accuracy96.5%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
Samples
40.0ms174×0valid
19.0ms82×0exit
Compiler

Compiled 247 to 38 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 18.0ms (42.1% of total)
ival-mult: 16.0ms (37.4% of total)
ival-expm1: 4.0ms (9.4% of total)
ival-add: 2.0ms (4.7% of total)
ival-neg: 2.0ms (4.7% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory
1.4MiB live, 44.1MiB allocated
Counts
21 → 420
Calls
Call 1
Inputs
#<alt (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))>
#<alt (expm1.f32 (/.f32 x (neg.f32 s)))>
#<alt (/.f32 x (neg.f32 s))>
#<alt (neg.f32 s)>
#<alt (/.f32 s (neg.f32 x))>
#<alt (neg.f32 x)>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))>
#<alt (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))>
#<alt (*.f32 #s(literal 1/2 binary32) (*.f32 x x))>
#<alt (*.f32 x x)>
#<alt (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))>
#<alt (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))>
#<alt (*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))>
#<alt (*.f32 s (*.f32 s s))>
#<alt (*.f32 s s)>
#<alt (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))>
#<alt (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))>
#<alt (/.f32 #s(literal -1 binary32) (*.f32 x s))>
#<alt (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))>
#<alt (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x 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 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt 1/2>
#<alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))>
#<alt (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))>
#<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 (/ 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))>
#<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 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* 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))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 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) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -1 s) (* -1/2 x)) x)>
#<alt (/ (+ (* -1 s) (* x (- (* -1/4 (/ x s)) 1/2))) x)>
#<alt (/ (+ (* -1 s) (* x (- (* x (- (* -1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))) 1/2))) x)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* 2 (pow s 2)) (* 8 (/ (pow s 4) (pow x 2)))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* 2 (pow s 2)) (* 16 (/ (pow s 5) (pow x 3)))) (+ (* -8 (/ (pow s 4) (pow x 2))) (* -4 (/ (pow s 3) x)))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -8 (/ (pow s 4) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow s 5) x)) (* -8 (pow s 4))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* 8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* s (+ (* 16 (/ s (pow x 5))) (* 8 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))>
#<alt (* s (- (* -1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))>
#<alt (* s (- (* -1/8 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x)))))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))>
#<alt (* -1 (* s (+ (* -1 (/ (- (* -1/4 (/ x s)) 1/2) s)) (/ 1 x))))>
#<alt (* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 2) s)) (* -1/4 x)) s)) 1/2) s)) (/ 1 x))))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* -1 (/ s x))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1 (/ s x))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1 (/ s x))) (pow s 2))>
#<alt (/ -1 (* s x))>
#<alt (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) s)>
#<alt (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) s)>
#<alt (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) s)>
#<alt (/ -1 (* s x))>
#<alt (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) s))>
#<alt (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) s))>
#<alt (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) s))>
#<alt (/ -1 (* s x))>
#<alt (/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) x)>
#<alt (/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) x)>
#<alt (/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) x)>
#<alt (/ 1/2 (pow s 2))>
#<alt (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))>
#<alt (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))>
#<alt (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))>
#<alt (/ 1/2 (pow s 2))>
#<alt (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))>
#<alt (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))>
#<alt (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))>
#<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) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow s 4) (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) (pow x 4))>
#<alt (/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) (pow x 4))>
#<alt (/ (+ (* -18 (pow s 4)) (* -6 (* (pow s 3) x))) (pow x 4))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -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) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<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 (/ -6 (pow x 3))>
#<alt (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))>
#<alt (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))>
#<alt (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))>
#<alt (* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))>
#<alt (* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (/ (+ (* -18 s) (* -6 x)) (pow x 4))>
#<alt (/ (+ (* -18 s) (* -6 x)) (pow x 4))>
#<alt (/ (+ (* -18 s) (* -6 x)) (pow x 4))>
#<alt (/ -6 (pow x 3))>
#<alt (/ (- (* -18 (/ s x)) 6) (pow x 3))>
#<alt (/ (- (* -18 (/ s x)) 6) (pow x 3))>
#<alt (/ (- (* -18 (/ s x)) 6) (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))>
#<alt (* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))>
#<alt (* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))>
#<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 (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ -1 (* s x))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ s (pow x 4))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
#<alt (/ -6 (pow x 3))>
Calls

105 calls:

TimeVariablePointExpression
14.0ms
s
@-inf
(* s (* s s))
5.0ms
x
@0
(/ (* 1/2 (* x x)) (* s s))
1.0ms
s
@0
(* (* s (* s s)) (+ (* (/ s (* (* x (* x x)) x)) -18) (/ -6 (* x (* x x)))))
1.0ms
s
@inf
(* (* s (* s s)) (+ (* (/ s (* (* x (* x x)) x)) -18) (/ -6 (* x (* x x)))))
1.0ms
x
@0
(* (* s (* s s)) (+ (* (/ s (* (* x (* x x)) x)) -18) (/ -6 (* x (* x x)))))

rewrite376.0ms (3.8%)

Memory
24.3MiB live, 541.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 798×lower-/.f64
4 776×lower-/.f32
4 662×lower-fma.f64
4 660×lower-fma.f32
4 518×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035177
065161
1259151
22168144
08733141
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 1 006
Calls
Call 1
Inputs
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(expm1.f32 (/.f32 x (neg.f32 s)))
(/.f32 x (neg.f32 s))
(neg.f32 s)
(/.f32 s (neg.f32 x))
(neg.f32 x)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(*.f32 s (*.f32 s s))
(*.f32 s s)
(fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x))))
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
Outputs
(neg.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (neg.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(neg.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) #s(literal 3 binary32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s) #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))) (neg.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(-.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (neg.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))) (/.f32 #s(literal 1 binary32) (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))))
(-.f32 (/.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (/.f32 #s(literal 1 binary32) (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal 2 binary32))) (/.f32 (*.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal 1 binary32)) (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal 2 binary32))))
(-.f32 (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) #s(literal 2 binary32)) (+.f32 (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal -2 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))))) (/.f32 (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal -3 binary32)) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) #s(literal 2 binary32)) (+.f32 (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal -2 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))))))
(-.f32 (/.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) #s(literal 2 binary32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))) (/.f32 (pow.f32 (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)) #s(literal -2 binary32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
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(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) (/.f32 (neg.f32 s) (*.f32 x x)))
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(neg.f32 (/.f32 #s(literal 6 binary32) (*.f32 x (*.f32 x x))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) #s(literal -1 binary32)))
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(*.f32 #s(literal 6 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x (*.f32 x x)))))
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simplify482.0ms (4.8%)

Memory
20.7MiB live, 838.5MiB allocated
Algorithm
1×egg-herbie
Rules
18 400×lower-fma.f64
18 400×lower-fma.f32
4 522×lower-*.f64
4 522×lower-*.f32
4 434×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04333794
112483719
237313610
085433408
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
1/2
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1/2
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1/2
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(* -2 (/ x s))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(* -2 (/ x s))
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ -1 (* s x))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ s (pow x 4))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
(/ -6 (pow x 3))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 x (*.f32 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 (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
1/2
#s(literal 1/2 binary32)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(-.f32 (fma.f32 x (/.f32 #s(literal -1/4 binary32) s) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/12 binary32) (*.f32 s s)) #s(literal 1/2 binary32))) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/4 binary32) s) #s(literal -1/2 binary32)) s) (/.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (*.f32 s s))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 x x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/12 binary32) (*.f32 s s)) (-.f32 #s(literal 1/2 binary32) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal -1/4 binary32) s) #s(literal -1/2 binary32)) s) (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 s (*.f32 s s))) #s(literal 2/3 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal -7/48 binary32) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 (*.f32 x x) #s(literal 2/3 binary32)) #s(literal 0 binary32))) (neg.f32 s)) (neg.f32 s))) s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(*.f32 x (fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 x (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.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)))
(- (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)))
(- (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 (fma.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) x) (*.f32 s (*.f32 s s))) (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 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 1/2 binary32) (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 x (/.f32 (*.f32 x x) s)))) 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 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) x) s) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) (neg.f32 s))) s)) (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 s))
(/.f32 x (neg.f32 s))
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 (/ s x))
(/.f32 s (neg.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))
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(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal -18 binary32))) (*.f32 x (*.f32 x x)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal -18 binary32))) (*.f32 x (*.f32 x x)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32)) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal -18 binary32))) (*.f32 x (*.f32 x x)))
(* -6 (/ (pow s 3) (pow x 3)))
(/.f32 (*.f32 s (*.f32 (*.f32 s s) #s(literal -6 binary32))) (*.f32 x (*.f32 x x)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal 18 binary32))) (*.f32 x (*.f32 x (neg.f32 x))))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal 18 binary32))) (*.f32 x (*.f32 x (neg.f32 x))))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(/.f32 (fma.f32 s (*.f32 (*.f32 s s) #s(literal 6 binary32)) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) x) #s(literal 18 binary32))) (*.f32 x (*.f32 x (neg.f32 x))))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(pow s 2)
(*.f32 s s)
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))
(/.f32 (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))
(/.f32 (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3))))
(/.f32 (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))
(*.f32 (neg.f32 s) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 x (*.f32 (*.f32 x x) s))) (/.f32 #s(literal 18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))))
(* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))
(*.f32 (neg.f32 s) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 x (*.f32 (*.f32 x x) s))) (/.f32 #s(literal 18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))))
(* -1 (* s (+ (* 18 (/ 1 (pow x 4))) (* 6 (/ 1 (* s (pow x 3)))))))
(*.f32 (neg.f32 s) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 x (*.f32 (*.f32 x x) s))) (/.f32 #s(literal 18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(*.f32 (neg.f32 s) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 x (*.f32 (*.f32 x x) s))) (/.f32 #s(literal 18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))))
(* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(*.f32 (neg.f32 s) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 x (*.f32 (*.f32 x x) s))) (/.f32 #s(literal 18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))))
(* -1 (* s (+ (* 6 (/ 1 (* s (pow x 3)))) (* 18 (/ 1 (pow x 4))))))
(*.f32 (neg.f32 s) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 x (*.f32 (*.f32 x x) s))) (/.f32 #s(literal 18 binary32) (*.f32 (*.f32 x (*.f32 x x)) x))))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(/ (+ (* -18 s) (* -6 x)) (pow x 4))
(/.f32 (fma.f32 x #s(literal -6 binary32) (*.f32 s #s(literal -18 binary32))) (*.f32 (*.f32 x (*.f32 x x)) x))
(/ (+ (* -18 s) (* -6 x)) (pow x 4))
(/.f32 (fma.f32 x #s(literal -6 binary32) (*.f32 s #s(literal -18 binary32))) (*.f32 (*.f32 x (*.f32 x x)) x))
(/ (+ (* -18 s) (* -6 x)) (pow x 4))
(/.f32 (fma.f32 x #s(literal -6 binary32) (*.f32 s #s(literal -18 binary32))) (*.f32 (*.f32 x (*.f32 x x)) x))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ (- (* -18 (/ s x)) 6) (pow x 3))
(/.f32 (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/ (- (* -18 (/ s x)) 6) (pow x 3))
(/.f32 (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/ (- (* -18 (/ s x)) 6) (pow x 3))
(/.f32 (fma.f32 s (/.f32 #s(literal -18 binary32) x) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))
(/.f32 (fma.f32 (/.f32 s x) #s(literal 18 binary32) #s(literal 6 binary32)) (*.f32 x (*.f32 x (neg.f32 x))))
(* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))
(/.f32 (fma.f32 (/.f32 s x) #s(literal 18 binary32) #s(literal 6 binary32)) (*.f32 x (*.f32 x (neg.f32 x))))
(* -1 (/ (+ 6 (* 18 (/ s x))) (pow x 3)))
(/.f32 (fma.f32 (/.f32 s x) #s(literal 18 binary32) #s(literal 6 binary32)) (*.f32 x (*.f32 x (neg.f32 x))))
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(*.f32 x (*.f32 (/.f32 #s(literal 2 binary32) s) (+.f32 #s(literal -1 binary32) (/.f32 x s))))
(* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(*.f32 x (fma.f32 x (fma.f32 (/.f32 x (*.f32 s (*.f32 s s))) #s(literal -4/3 binary32) (/.f32 #s(literal 2 binary32) (*.f32 s s))) (/.f32 #s(literal -2 binary32) s)))
(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(*.f32 x (fma.f32 x (fma.f32 x (fma.f32 #s(literal 2/3 binary32) (/.f32 x (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -4/3 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 2 binary32) (*.f32 s s))) (/.f32 #s(literal -2 binary32) s)))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/.f32 (fma.f32 x #s(literal -2 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 2 binary32))) s)) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) #s(literal -4/3 binary32) (fma.f32 x #s(literal -2 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal 2 binary32))) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(/.f32 (fma.f32 x #s(literal -2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal 2/3 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) x) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -4/3 binary32)) (*.f32 s s))))) s)
(* -2 (/ x s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(neg.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 x x) s) (*.f32 x #s(literal 2 binary32))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(/.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 (*.f32 x x) s)) #s(literal -4/3 binary32) (*.f32 x (*.f32 x #s(literal 2 binary32)))) (neg.f32 s))) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(/.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 2 binary32)) (/.f32 (fma.f32 x (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) x) #s(literal -2/3 binary32)) s)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ -1 (* s x))
(/.f32 #s(literal -1 binary32) (*.f32 x s))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ s (pow x 4))
(/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))
(/ -6 (pow x 3))
(/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))

eval189.0ms (1.9%)

Memory
-8.2MiB live, 297.2MiB allocated
Compiler

Compiled 34 633 to 3 517 computations (89.8% saved)

prune224.0ms (2.2%)

Memory
15.6MiB live, 392.1MiB allocated
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New1 524131 537
Fresh13821
Picked325
Done033
Total1 540261 566
Accuracy
100.0%
Counts
1 566 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.3%
(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))
29.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
32.8%
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
✓64.4%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
✓21.2%
(/.f32 s (neg.f32 x))
▶33.4%
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
53.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
43.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
▶57.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
29.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 s (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x s))) (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 x s)))))
22.3%
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
✓43.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.0%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x x)))
33.7%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 s (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x s))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s (*.f32 x s)))))))
29.4%
(*.f32 (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (*.f32 s #s(literal -1/2 binary32))) x) (expm1.f32 (/.f32 (neg.f32 x) s)))
33.1%
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32))
35.3%
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x))
33.0%
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
▶32.1%
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
23.0%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
▶21.2%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
31.9%
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) s) s)
▶31.7%
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
32.0%
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
✓35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 673 to 422 computations (37.3% saved)

simplify228.0ms (2.3%)

Memory
-16.8MiB live, 215.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
✓cost-diff0
(*.f32 s s)
✓cost-diff0
(*.f32 s (*.f32 s s))
✓cost-diff0
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
✓cost-diff0
(*.f32 s s)
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(/.f32 (*.f32 x x) (*.f32 s s))
✓cost-diff192
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
✓cost-diff0
(*.f32 s s)
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(/.f32 #s(literal 2 binary32) (*.f32 x x))
✓cost-diff0
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
✓cost-diff0
(/.f32 #s(literal -1 binary32) x)
✓cost-diff96
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓cost-diff0
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
✓cost-diff0
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
Rules
3 254×lower-fma.f64
3 250×lower-fma.f32
2 922×lower-*.f64
2 904×lower-*.f32
2 458×lower-/.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026163
047151
191144
2216142
3587142
41155142
51301140
61423140
71721140
82251140
93191140
105018140
116962140
08222140
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
x
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
(/.f32 x s)
s
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
x
s
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 2 binary32) (*.f32 x x))
#s(literal 2 binary32)
(*.f32 x x)
x
(*.f32 s s)
s
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
#s(literal 2 binary32)
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 x x)
x
(*.f32 s s)
s
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(*.f32 s (*.f32 s s))
s
(*.f32 s s)
(/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(*.f32 s #s(literal -18 binary32))
#s(literal -18 binary32)
(*.f32 (*.f32 x (*.f32 x x)) x)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32)))
#s(literal 1 binary32)
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))
x
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
(/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(/.f32 x s)
s
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 s (neg.f32 x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
x
s
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
(/.f32 #s(literal 2 binary32) (*.f32 x x))
#s(literal 2 binary32)
(*.f32 x x)
x
(*.f32 s s)
s
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
#s(literal 2 binary32)
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 x x)
x
(*.f32 s s)
s
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32))))) (*.f32 x (*.f32 x (*.f32 x x))))
(*.f32 s (*.f32 s s))
s
(*.f32 s s)
(/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))
(*.f32 s #s(literal -18 binary32))
#s(literal -18 binary32)
(*.f32 (*.f32 x (*.f32 x x)) x)
(*.f32 x (*.f32 x (*.f32 x x)))
(*.f32 x (*.f32 x x))
x
(*.f32 x x)

localize91.0ms (0.9%)

Memory
13.5MiB live, 179.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f32 x (*.f32 x x))
✓accuracy99.8%
(*.f32 s (*.f32 s s))
✓accuracy96.5%
(/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
✓accuracy78.1%
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
✓accuracy100.0%
(*.f32 x x)
✓accuracy100.0%
(*.f32 s s)
✓accuracy98.5%
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
✓accuracy78.6%
(/.f32 (*.f32 x x) (*.f32 s s))
✓accuracy100.0%
(*.f32 x x)
✓accuracy100.0%
(*.f32 s s)
✓accuracy98.4%
(/.f32 #s(literal 2 binary32) (*.f32 x x))
✓accuracy77.3%
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
✓accuracy100.0%
(/.f32 #s(literal -1 binary32) x)
✓accuracy99.4%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓accuracy99.7%
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
✓accuracy99.7%
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
✓accuracy98.5%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
✓accuracy94.1%
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
Samples
58.0ms256×0valid
Compiler

Compiled 171 to 30 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 22.0ms (51.6% of total)
ival-mult: 18.0ms (42.2% of total)
ival-add: 2.0ms (4.7% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-4.9MiB live, 30.3MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))>
#<alt (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))>
#<alt (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)>
#<alt (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))>
#<alt (*.f32 (/.f32 #s(literal -1 binary32) x) s)>
#<alt (/.f32 #s(literal -1 binary32) x)>
#<alt (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))>
#<alt (/.f32 #s(literal 2 binary32) (*.f32 x x))>
#<alt (*.f32 x x)>
#<alt (*.f32 s s)>
#<alt (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))>
#<alt (/.f32 (*.f32 x x) (*.f32 s s))>
#<alt (*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))>
#<alt (*.f32 s (*.f32 s s))>
#<alt (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))>
#<alt (*.f32 x (*.f32 x x))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (/ -1 s)>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (- (* 1/2 (/ x (pow s 2))) (/ 1 s))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))>
#<alt (* 1/2 (/ x (pow s 2)))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))>
#<alt (/ -1 s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ (- (* 1/2 (/ x s)) 1) s)>
#<alt (/ -1 s)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))>
#<alt -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 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (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 (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (/ (pow x 2) (pow s 2))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (* -18 (/ (pow s 4) (pow x 4)))>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (pow s 3)>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (* -18 (/ s (pow x 4)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
Calls

78 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ 2 (/ (* x x) (* s s)))
1.0ms
x
@0
(* (* s (* s s)) (/ (* s -18) (* (* x (* x x)) x)))
1.0ms
s
@0
(* (* s (* s s)) (/ (* s -18) (* (* x (* x x)) x)))
1.0ms
s
@inf
(* (* s (* s s)) (/ (* s -18) (* (* x (* x x)) x)))
0.0ms
s
@-inf
(/ (+ (* (/ x s) 1/2) -1) s)

rewrite396.0ms (4%)

Memory
1.5MiB live, 577.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 668×lower-*.f64
5 650×lower-*.f32
4 502×lower-/.f64
4 486×lower-/.f32
4 198×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026120
047110
117199
2103897
0839597
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 987
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(/.f32 #s(literal -1 binary32) x)
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(/.f32 #s(literal 2 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 s s)
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(*.f32 s (*.f32 s s))
(/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x))
(*.f32 x (*.f32 x x))
Outputs
(neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) s) #s(literal -2 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal -1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32))) (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))) (*.f32 s s))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) x) s)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) x) s)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32))) (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))) (*.f32 s s))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32))) (*.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32))) #s(literal -2 binary32)))
(+.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32)))) (*.f32 (+.f32 #s(literal 4 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) x) s))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32)))))
(+.f32 (*.f32 (+.f32 #s(literal 4 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) x) s))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32)))) (*.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32)))))
(+.f32 (*.f32 (*.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)))) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)))))
(pow.f32 (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 (*.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32))) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)))))
(fma.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32))) (*.f32 (+.f32 #s(literal 4 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) x) s))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32)))))
(fma.f32 (+.f32 #s(literal 4 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) x) s))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))) (*.f32 s s)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32))) (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)))) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) (*.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))))) (*.f32 s (*.f32 s s))) #s(literal 8 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (/.f32 (*.f32 x #s(literal -1/2 binary32)) s) x) s)))))
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(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 s #s(literal -18 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (pow.f32 (/.f32 #s(literal -1/18 binary32) s) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal -18 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) s)
(*.f32 #s(literal 18 binary32) (/.f32 (neg.f32 s) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 #s(literal 18 binary32) (*.f32 s (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 (*.f32 s #s(literal 18 binary32)) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))
(*.f32 (/.f32 #s(literal -18 binary32) (*.f32 x x)) (/.f32 s (*.f32 x x)))
(*.f32 (/.f32 #s(literal -18 binary32) (*.f32 x x)) (*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 s (*.f32 x x)) (/.f32 #s(literal -18 binary32) (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 x x)) (*.f32 (/.f32 #s(literal -18 binary32) x) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal -18 binary32) (*.f32 x (*.f32 x x))) (/.f32 s x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (/.f32 (*.f32 s #s(literal -18 binary32)) x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (pow.f32 (/.f32 x (*.f32 s #s(literal -18 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 s #s(literal 18 binary32)))
(*.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -18 binary32))
(*.f32 (pow.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/18 binary32)) #s(literal -1 binary32)) (/.f32 s x))
(*.f32 (/.f32 s (neg.f32 (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 18 binary32) x))
(*.f32 (/.f32 s (pow.f32 x #s(literal 3/2 binary32))) (/.f32 (/.f32 #s(literal -18 binary32) x) (pow.f32 x #s(literal 3/2 binary32))))
(*.f32 (/.f32 #s(literal 18 binary32) (*.f32 x (*.f32 x x))) (/.f32 s (neg.f32 x)))
(*.f32 (/.f32 #s(literal 18 binary32) x) (/.f32 s (neg.f32 (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x))) (/.f32 (*.f32 s #s(literal -18 binary32)) (neg.f32 x)))
(*.f32 (/.f32 (neg.f32 s) (*.f32 x (*.f32 x x))) (/.f32 #s(literal -18 binary32) (neg.f32 x)))
(*.f32 (/.f32 #s(literal -18 binary32) (neg.f32 (*.f32 x (*.f32 x x)))) (/.f32 s (neg.f32 x)))
(*.f32 (/.f32 s #s(literal -1 binary32)) (/.f32 #s(literal 18 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (/.f32 #s(literal -18 binary32) (neg.f32 x)) (/.f32 (neg.f32 s) (*.f32 x (*.f32 x x))))
(*.f32 (pow.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 s #s(literal -18 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 s #s(literal -18 binary32))) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal -18 binary32) x) s) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) s) #s(literal -18 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 s #s(literal 18 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -18 binary32) (*.f32 x (*.f32 x x)))) (/.f32 s x))
(*.f32 (*.f32 (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 #s(literal -18 binary32) (*.f32 x (*.f32 x x))) s) (/.f32 #s(literal 1 binary32) x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(*.f32 x (*.f32 x x))
(*.f32 (*.f32 x x) x)
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))

simplify395.0ms (4%)

Memory
4.6MiB live, 745.5MiB allocated
Algorithm
1×egg-herbie
Rules
12 932×lower-fma.f64
12 932×lower-fma.f32
3 802×lower-*.f64
3 802×lower-*.f32
2 224×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02452387
16902313
221002276
368962270
080612187
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (/ x (pow s 2)))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* 1/2 (/ x (pow s 2)))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(* -1 (/ s x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(* -18 (/ (pow s 4) (pow x 4)))
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(pow s 3)
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(* -18 (/ s (pow x 4)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal -1/16 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/32 binary32) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/16 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 s (*.f32 s #s(literal 2 binary32)))) (*.f32 x x))
(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 s (*.f32 s #s(literal 2 binary32)))) (*.f32 x x))
(/ (- (+ (* -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))
(/.f32 (-.f32 (fma.f32 s (*.f32 s #s(literal 2 binary32)) (/.f32 (fma.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal -16 binary32) #s(literal 0 binary32)) (*.f32 x (*.f32 x x)))) (fma.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal -4 binary32) x) (*.f32 (/.f32 (pow.f32 s #s(literal 4 binary32)) (*.f32 x x)) #s(literal 0 binary32)))) (*.f32 x x))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))
(/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 s (*.f32 s s)) x) (*.f32 s (*.f32 s #s(literal 2 binary32)))) (*.f32 x x))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
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(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2 (/ (pow s 2) (pow x 2)))
(*.f32 s (*.f32 s (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ (pow x 2) (pow s 2))
(/.f32 (*.f32 x x) (*.f32 s s))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ (pow s 4) (pow x 4)))
(/.f32 (*.f32 (pow.f32 s #s(literal 4 binary32)) #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(pow s 3)
(*.f32 s (*.f32 s s))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* -18 (/ s (pow x 4)))
(/.f32 (*.f32 s #s(literal -18 binary32)) (pow.f32 x #s(literal 4 binary32)))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))

eval115.0ms (1.2%)

Memory
9.4MiB live, 360.7MiB allocated
Compiler

Compiled 27 055 to 2 617 computations (90.3% saved)

prune200.0ms (2%)

Memory
7.0MiB live, 489.0MiB allocated
Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New1 401121 413
Fresh9716
Picked145
Done055
Total1 411281 439
Accuracy
100.0%
Counts
1 439 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.3%
(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))
29.5%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
32.8%
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
34.4%
(/.f32 (*.f32 s (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) x)
32.2%
(/.f32 (*.f32 s (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1/18 binary32)))
32.0%
(/.f32 (*.f32 #s(literal 2 binary32) s) (/.f32 (*.f32 x x) s))
✓64.4%
(/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
✓21.2%
(/.f32 s (neg.f32 x))
✓33.4%
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
34.0%
(/.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)))
✓57.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
43.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
32.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))))
✓43.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
35.7%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)))
22.3%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
29.4%
(*.f32 (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (*.f32 s #s(literal -1/2 binary32))) x) (expm1.f32 (/.f32 (neg.f32 x) s)))
34.4%
(*.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s s))) (*.f32 x x)) (/.f32 #s(literal -18 binary32) (*.f32 x x)))
33.1%
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32))
35.3%
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x))
32.0%
(*.f32 (/.f32 s (*.f32 x x)) (*.f32 s #s(literal 2 binary32)))
✓32.1%
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
✓21.2%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
32.0%
(*.f32 (/.f32 #s(literal -2 binary32) (/.f32 (*.f32 x x) s)) (neg.f32 s))
31.9%
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) s) s)
31.7%
(*.f32 #s(literal -18 binary32) (*.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))))
✓35.0%
#s(literal 1/2 binary32)
Compiler

Compiled 1 162 to 459 computations (60.5% saved)

regimes116.0ms (1.2%)

Memory
12.6MiB live, 275.5MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) s) s)
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 x x)) (*.f32 s #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2 binary32) s) (/.f32 (*.f32 x x) s))
(/.f32 (*.f32 s (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) x)
(*.f32 (/.f32 #s(literal -2 binary32) (/.f32 (*.f32 x x) s)) (neg.f32 s))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal -18 binary32) (*.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 s (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1/18 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s s))) (*.f32 x x)) (/.f32 #s(literal -18 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 s (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x s))) (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 s (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x s))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s (*.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) x) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (*.f32 s #s(literal -1/2 binary32))) x) (expm1.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) (/.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 (-.f32 (neg.f32 x) x) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

18.0ms
(neg.f32 x)
18.0ms
x
17.0ms
s
17.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
17.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes120.0ms (1.2%)

Memory
-13.1MiB live, 229.6MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) s) s)
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 x x)) (*.f32 s #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2 binary32) s) (/.f32 (*.f32 x x) s))
(/.f32 (*.f32 s (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) x)
(*.f32 (/.f32 #s(literal -2 binary32) (/.f32 (*.f32 x x) s)) (neg.f32 s))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal -18 binary32) (*.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 s (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1/18 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s s))) (*.f32 x x)) (/.f32 #s(literal -18 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 s (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x s))) (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 s (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x s))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s (*.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) x) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

7 calls:

25.0ms
(neg.f32 x)
22.0ms
s
18.0ms
(/.f32 (neg.f32 x) s)
15.0ms
x
13.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
65.8%2x
57.8%1s
66.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
66.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
66.0%2(exp.f32 (/.f32 (neg.f32 x) s))
66.0%2(/.f32 (neg.f32 x) s)
65.8%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes73.0ms (0.7%)

Memory
16.2MiB live, 174.3MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) s) s)
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 x x)) (*.f32 s #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2 binary32) s) (/.f32 (*.f32 x x) s))
(/.f32 (*.f32 s (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) x)
(*.f32 (/.f32 #s(literal -2 binary32) (/.f32 (*.f32 x x) s)) (neg.f32 s))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal -18 binary32) (*.f32 (/.f32 s (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))))
(*.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s #s(literal -18 binary32)) (*.f32 (*.f32 x (*.f32 x x)) x)))
(/.f32 (*.f32 s (*.f32 s (*.f32 s s))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1/18 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(*.f32 (/.f32 (*.f32 s (*.f32 s (*.f32 s s))) (*.f32 x x)) (/.f32 #s(literal -18 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s)) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 s (*.f32 s (*.f32 s #s(literal -18 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s s)) x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 s (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x s))) (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 x s)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)) s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
Calls

6 calls:

14.0ms
x
12.0ms
(/.f32 (neg.f32 x) s)
12.0ms
(neg.f32 x)
12.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
11.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
65.0%2x
65.0%2(neg.f32 x)
65.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
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)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes65.0ms (0.7%)

Memory
-11.9MiB live, 108.5MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) s) s)
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 x x)) (*.f32 s #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2 binary32) s) (/.f32 (*.f32 x x) s))
(/.f32 (*.f32 s (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) x)
(*.f32 (/.f32 #s(literal -2 binary32) (/.f32 (*.f32 x x) s)) (neg.f32 s))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (neg.f32 s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 s s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)))
Calls

6 calls:

24.0ms
x
9.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(neg.f32 x)
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
62.5%2x
62.5%2(neg.f32 x)
63.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
63.2%2(exp.f32 (/.f32 (neg.f32 x) s))
63.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes45.0ms (0.5%)

Memory
16.0MiB live, 55.2MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) s) s)
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 x x)) (*.f32 s #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 #s(literal 2 binary32) s) (/.f32 (*.f32 x x) s))
(/.f32 (*.f32 s (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) x)
(*.f32 (/.f32 #s(literal -2 binary32) (/.f32 (*.f32 x x) s)) (neg.f32 s))
(/.f32 (*.f32 (*.f32 #s(literal -6 binary32) (*.f32 s s)) s) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))
(/.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 x x)))
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x))
Calls

4 calls:

25.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
63.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
63.2%2(exp.f32 (/.f32 (neg.f32 x) s))
63.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes32.0ms (0.3%)

Memory
-1.5MiB live, 75.5MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) s) s)
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 x x)) (*.f32 s #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32))
(/.f32 (*.f32 s (*.f32 s #s(literal 2 binary32))) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32))
Calls

6 calls:

6.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
(neg.f32 x)
5.0ms
x
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
60.4%2x
60.4%2(neg.f32 x)
61.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
61.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
61.6%2(exp.f32 (/.f32 (neg.f32 x) s))
61.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes35.0ms (0.3%)

Memory
-25.1MiB live, 49.3MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) s) s)
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 x x)) (*.f32 s #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
Calls

5 calls:

19.0ms
(/.f32 (neg.f32 x) s)
4.0ms
s
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
43.8%1s
60.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
60.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
60.8%2(exp.f32 (/.f32 (neg.f32 x) s))
60.9%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes22.0ms (0.2%)

Memory
-23.5MiB live, 53.9MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) s) s)
Outputs
#s(literal 1/2 binary32)
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
Calls

6 calls:

5.0ms
(neg.f32 x)
4.0ms
(/.f32 (neg.f32 x) s)
4.0ms
x
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
59.7%2x
59.7%2(neg.f32 x)
59.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
59.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
59.9%2(exp.f32 (/.f32 (neg.f32 x) s))
59.9%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes19.0ms (0.2%)

Memory
11.8MiB live, 48.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Calls

6 calls:

4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
(neg.f32 x)
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
51.9%2x
51.9%2(neg.f32 x)
52.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
52.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
52.6%2(exp.f32 (/.f32 (neg.f32 x) s))
52.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes18.0ms (0.2%)

Memory
9.2MiB live, 52.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
Calls

6 calls:

5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
(neg.f32 x)
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
50.6%2x
50.6%2(neg.f32 x)
50.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.7%2(exp.f32 (/.f32 (neg.f32 x) s))
50.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes12.0ms (0.1%)

Memory
-4.4MiB live, 34.5MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
Calls

6 calls:

2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
2.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
49.5%2x
49.5%2(neg.f32 x)
49.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.6%2(exp.f32 (/.f32 (neg.f32 x) s))
49.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes6.0ms (0.1%)

Memory
-19.1MiB live, 20.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
Outputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
Calls

4 calls:

2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
49.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.6%2(exp.f32 (/.f32 (neg.f32 x) s))
49.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
26.1MiB live, 26.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
(neg.f32 x)
1.0ms
x
1.0ms
s
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
35.0%1s
35.0%1x
35.0%1(neg.f32 x)
35.0%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
35.0%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
35.0%1(exp.f32 (/.f32 (neg.f32 x) s))
35.0%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
0.027533063665032387
0.03185645490884781
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.470567226409912
-0.47221824526786804
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.4395935535430908
2.271350145339966
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
12.007890701293945
128.43414306640625
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
12579.705078125
56780.03125
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch2.0ms (0%)

Memory
-35.9MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
716706283520.0
15616680394752.0
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
478308.78125
628726.625
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.470567226409912
-0.47221824526786804
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.4395935535430908
2.271350145339966
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.4395935535430908
2.271350145339966
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.4395935535430908
2.271350145339966
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify9.0ms (0.1%)

Memory
20.7MiB live, 20.7MiB allocated
Algorithm
1×egg-herbie
Rules
22×*-commutative_binary32
12×+-commutative_binary32
10×sub-neg_binary32
8×neg-sub0_binary32
8×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069200
187200
297200
3104200
4108200
5109200
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 16106127/536870912 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20000 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 999999995904 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 16106127/536870912 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 16106127/536870912 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 20 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) x) (/.f32 #s(literal 2 binary32) x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20000 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 2 binary32)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 20000 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 s s) (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 999999995904 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 999999995904 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 s s) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x)))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 500000 binary32)) #s(literal 1/2 binary32) (*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 s (/.f32 #s(literal -1 binary32) x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 s x)))
#s(literal 1/2 binary32)

soundness1.8s (17.8%)

Memory
29.8MiB live, 967.9MiB allocated
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
12 932×lower-fma.f64
12 932×lower-fma.f32
8 876×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07934897
124194653
277584627
082594283
02452387
16902313
221002276
368962270
080612187
031188
060176
1260167
22268167
08444167
0140758
1378748
21147742
33893722
08438682
026120
047110
117199
2103897
0839597
035177
065161
1259151
22168144
08733141
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter 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
Compiler

Compiled 507 to 274 computations (46% saved)

preprocess219.0ms (2.2%)

Memory
-33.1MiB live, 138.6MiB allocated
Compiler

Compiled 426 to 154 computations (63.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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