Disney BSSRDF, PDF of scattering profile

Time bar (total: 16.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze84.0ms (0.5%)

Memory
15.0MiB live, 160.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%2.1%97.9%0%0%0%0
0%0%2.1%97.9%0%0%0%1
0%0%2.1%97.9%0%0%0%2
25%0.5%1.5%97.9%0%0%0%3
37.5%0.8%1.3%97.9%0%0%0%4
56.2%1.2%0.9%97.9%0%0%0%5
65.6%1.3%0.7%97.9%0%0%0%6
76.6%1.6%0.5%97.9%0%0%0%7
82%1.7%0.4%97.9%0%0%0%8
87.9%1.8%0.2%97.9%0%0%0%9
90.8%1.9%0.2%97.9%0%0%0%10
93.8%1.9%0.1%97.9%0%0%0%11
95.4%2%0.1%97.9%0%0%0%12
Compiler

Compiled 49 to 37 computations (24.5% saved)

sample3.4s (20.9%)

Memory
-125.9MiB live, 4 017.8MiB allocated
Samples
2.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-exp: 808.0ms (33.5% of total)
ival-mult: 557.0ms (23.1% of total)
ival-div: 361.0ms (15% of total)
const: 196.0ms (8.1% of total)
ival-neg: 174.0ms (7.2% of total)
ival-<=: 137.0ms (5.7% of total)
ival-add: 53.0ms (2.2% of total)
ival-<: 37.0ms (1.5% of total)
exact: 30.0ms (1.2% of total)
ival-pi: 29.0ms (1.2% of total)
ival-and: 24.0ms (1% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain346.0ms (2.1%)

Memory
5.1MiB live, 674.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15(0.00019807500939350575 0.32254353165626526)1(60.30624008178711 14336.7109375)(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
00-0-(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
00-0-(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 6 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
00-0-(neg.f32 r)
00-0-s
00-0-(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
00-0-(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
00-0-#s(literal 3/4 binary32)
00-0-(/.f32 (neg.f32 r) s)
00-0-#s(literal 1/4 binary32)
05(0.0018011279171332717 0.21690204739570618)0-(exp.f32 (/.f32 (neg.f32 r) s))
00-0-(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 3 binary32) s)
00-0-(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
00-0-#s(literal 6 binary32)
00-0-r
00-0-#s(literal 3 binary32)
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 r) s))sensitivity51
exp.f32(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))sensitivity54
Confusion
Predicted +Predicted -
+10
-8247
Precision
0.1111111111111111
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-81246
Precision?
0.1
Recall?
1.0
Freqs
test
numberfreq
0247
18
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
91.0ms512×0valid
Compiler

Compiled 331 to 79 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 24.0ms (35.2% of total)
ival-exp: 23.0ms (33.8% of total)
ival-div: 13.0ms (19.1% of total)
ival-pi: 2.0ms (2.9% of total)
ival-add: 2.0ms (2.9% of total)
ival-neg: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess270.0ms (1.7%)

Memory
18.3MiB live, 391.0MiB allocated
Algorithm
1×egg-herbie
Rules
5 478×lower-/.f64
5 470×lower-/.f32
5 136×lower-*.f64
5 118×lower-*.f32
2 504×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057175
1192140
2929102
35143102
02533
04333
18328
225222
388920
4244820
5315920
6351520
7391820
8432020
9433220
10524120
11543620
12544920
13545120
14552920
15552920
0833120
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))))
Compiler

Compiled 35 to 25 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify226.0ms (1.4%)

Memory
31.3MiB live, 319.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff64
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff160
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff768
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Rules
5 478×lower-/.f64
5 470×lower-/.f32
5 136×lower-*.f64
5 118×lower-*.f32
2 504×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025146
043146
183133
2252125
3889121
42448121
53159121
63515121
73918121
84320121
94332121
105241121
115436121
125449121
135451121
145529121
155529121
08331121
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 #s(literal 3 binary32) s)
(*.f32 s #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 #s(literal 6 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)

localize63.0ms (0.4%)

Memory
-0.0MiB live, 137.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.23828125
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy0.296875
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy0.3046875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
39.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 12.0ms (46.9% of total)
ival-div: 6.0ms (23.4% of total)
ival-exp: 4.0ms (15.6% of total)
ival-pi: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
exact: 1.0ms (3.9% of total)
ival-neg: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0.4%)

Memory
-32.3MiB live, 62.1MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
8.0ms
r
@inf
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms
s
@0
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms
s
@0
(* (* (* 2 (PI)) s) r)
2.0ms
r
@-inf
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
1.0ms
r
@0
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))

simplify346.0ms (2.1%)

Memory
30.1MiB live, 447.3MiB allocated
Algorithm
1×egg-herbie
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
5 362×lower-*.f64
5 362×lower-*.f32
2 476×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359561788
082271755
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
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(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))

rewrite347.0ms (2.1%)

Memory
-19.7MiB live, 670.2MiB allocated
Rules
6 444×lower-fma.f64
6 444×lower-fma.f32
6 424×lower-/.f64
6 416×lower-/.f32
4 548×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02590
04390
114279
2131271
0945671
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 546
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
Outputs
(neg.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))))
(neg.f32 (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (neg.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))))
(neg.f32 (/.f32 (fma.f32 r (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (neg.f32 r))))
(neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)))) (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 r (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (+.f32 (neg.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)))
(+.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)) (neg.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (neg.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
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(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) s) (*.f32 (PI.f32) #s(literal 6 binary32)))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (PI.f32)) (*.f32 #s(literal 6 binary32) s))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) #s(literal 6 binary32)) (*.f32 s (PI.f32)))
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(*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
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(*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (neg.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
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(*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
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(*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r))
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(neg.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))
(neg.f32 (*.f32 (/.f32 #s(literal 1/3 binary32) s) r))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32)))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(+.f32 (*.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 0 binary32)) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
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(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 r #s(literal -1/3 binary32))))
(/.f32 (/.f32 #s(literal 1/3 binary32) s) (/.f32 #s(literal -1 binary32) r))
(/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -3 binary32) r))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 s #s(literal 3 binary32)) r))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 #s(literal 1/3 binary32) (/.f32 s (neg.f32 r)))
(/.f32 (*.f32 r #s(literal 1/3 binary32)) (neg.f32 s))
(/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 3 binary32) r))
(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))) (/.f32 r (*.f32 s #s(literal 3 binary32))) (*.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))) (/.f32 r (*.f32 s #s(literal 3 binary32))))) (+.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(/.f32 (/.f32 r #s(literal -1 binary32)) (*.f32 s #s(literal 3 binary32)))
(/.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) #s(literal -1 binary32)) s)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (neg.f32 r) (/.f32 #s(literal 1/3 binary32) s))
(*.f32 (/.f32 r (neg.f32 s)) #s(literal 1/3 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 r))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (pow.f32 (/.f32 #s(literal -1 binary32) r) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 r #s(literal -1/3 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(*.f32 (*.f32 r #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1/3 binary32) (/.f32 r (neg.f32 s)))
(*.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 r #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 (pow.f32 (*.f32 s #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 3 binary32) r) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1/2 binary32)))
(*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(*.f32 (*.f32 s #s(literal 2 binary32)) (PI.f32))
(neg.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))
(-.f32 #s(literal 0 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))
(/.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s))))
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(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 r s)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 r s))
(*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) r)
(*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) #s(literal 1 binary32))
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(neg.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))
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(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 r (neg.f32 (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
(*.f32 (neg.f32 r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))
(*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
(*.f32 (PI.f32) (*.f32 #s(literal 6 binary32) (*.f32 r s)))
(*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 r s))
(*.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))) r)
(*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))
(*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))) (neg.f32 r))
(*.f32 (*.f32 (PI.f32) #s(literal -6 binary32)) (*.f32 (neg.f32 r) s))
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) s)
(*.f32 (neg.f32 (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) r)
(*.f32 (neg.f32 (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 r s))

eval65.0ms (0.4%)

Memory
6.0MiB live, 188.0MiB allocated
Compiler

Compiled 26 889 to 1 727 computations (93.6% saved)

prune116.0ms (0.7%)

Memory
20.9MiB live, 305.0MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New67824702
Fresh000
Picked101
Done000
Total67924703
Accuracy
99.9%
Counts
703 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.1%
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal 1/6 binary32)) (*.f32 (*.f32 s (PI.f32)) r)))
99.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
▶11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
11.0%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
11.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
11.0%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
9.6%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
▶9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
▶99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
▶9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
Compiler

Compiled 1 692 to 1 014 computations (40.1% saved)

simplify353.0ms (2.2%)

Memory
-10.2MiB live, 323.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
cost-diff0
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
cost-diff864
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
cost-diff0
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff0
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
cost-diff160
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff0
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
cost-diff0
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
cost-diff640
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
cost-diff0
(*.f32 s (PI.f32))
cost-diff0
(*.f32 r (*.f32 s (PI.f32)))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
cost-diff0
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
cost-diff192
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
cost-diff512
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
Rules
9 344×lower-fma.f64
9 334×lower-fma.f32
7 032×lower-*.f64
6 992×lower-*.f32
3 438×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095818
0159833
1302787
2750728
32190717
44503717
54738717
65230717
75914717
86194717
96239717
106450717
116450717
126455717
136675717
146731717
156731717
166731717
08823703
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
#s(literal 1/8 binary32)
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))
(/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32)))
(exp.f32 (neg.f32 (/.f32 r s)))
(neg.f32 (/.f32 r s))
(/.f32 r s)
r
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
r
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
#s(literal 5/72 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
#s(literal -7/324 binary32)
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 r r)
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
#s(literal 1/144 binary32)
(*.f32 s (PI.f32))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r s)
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 s (PI.f32))))
(/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32)))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(neg.f32 (/.f32 r s))
(/.f32 r (neg.f32 s))
(/.f32 r s)
r
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
(/.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 s (PI.f32)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
#s(literal -1/3 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
r
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
#s(literal 5/72 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 r (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
#s(literal -7/324 binary32)
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 r r)
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s))))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 (neg.f32 r) s)
(/.f32 r (neg.f32 s))
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 r (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
#s(literal 1/144 binary32)
(*.f32 s (PI.f32))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(/.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 r (*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 r (*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32))))
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) (PI.f32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 r s)

localize330.0ms (2%)

Memory
15.1MiB live, 474.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.26560296470008393
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
accuracy0.296875
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy0.35080998016428755
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
accuracy0.4069137695368841
(*.f32 (PI.f32) (*.f32 r s))
accuracy0.32259750976844204
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
accuracy0.5697280135987649
(/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
accuracy0.6200359195377763
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
accuracy28.243891327944038
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
accuracy0.5807049926221831
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
accuracy0.6145385190556351
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
accuracy13.715326492121594
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
accuracy28.46402858180044
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
accuracy0.23828125
(*.f32 r (*.f32 s (PI.f32)))
accuracy0.3046875
(*.f32 s (PI.f32))
accuracy0.33984375
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
accuracy28.869933899328704
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
accuracy0.033535009768442016
(/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
accuracy0.06429765584007649
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
accuracy0.3046875
(*.f32 s (PI.f32))
accuracy0.642660882807168
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
Samples
217.0ms256×0valid
Compiler

Compiled 716 to 88 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-div: 66.0ms (38.7% of total)
ival-mult: 60.0ms (35.2% of total)
const: 20.0ms (11.7% of total)
ival-exp: 11.0ms (6.5% of total)
ival-add: 8.0ms (4.7% of total)
ival-neg: 3.0ms (1.8% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series92.0ms (0.6%)

Memory
14.2MiB live, 159.8MiB allocated
Counts
30 → 708
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (patch (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 s (PI.f32))) (patch (*.f32 r (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) (patch (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s) (patch (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (patch (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (patch (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (patch (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (patch (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (patch (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) (patch (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (patch (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))) (patch (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (patch (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)) (patch #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (patch (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) #<representation binary32>) () ())
#s(alt (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (patch (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* s (PI))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor -inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor -inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
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#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
Calls

177 calls:

TimeVariablePointExpression
12.0ms
s
@0
(/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s)
7.0ms
s
@inf
(+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI)))
1.0ms
r
@inf
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))))
1.0ms
s
@0
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))))
1.0ms
r
@0
(+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI))))

simplify302.0ms (1.9%)

Memory
-4.5MiB live, 484.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 026×lower-fma.f64
7 026×lower-fma.f32
5 172×lower-*.f64
5 172×lower-*.f32
3 586×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086110923
1263110505
2763110435
0809810141
Stop Event
1×iter limit
1×node limit
Counts
708 → 708
Calls
Call 1
Inputs
(/ 1/4 (* s (PI)))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))
(+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(/ 1/4 (* s (PI)))
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (+ (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI))))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (pow r 3) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI)))))) s)
(/ 1/4 (* s (PI)))
(* -1 (/ (- (* -1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (pow r 2) (PI)))) s)) (* 1/8 (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (pow r 3) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (pow r 2) (PI)))))) s)) (* 1/8 (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (+ (* -1/2 (/ r (PI))) (* -1/18 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ r (PI))) (* -1/18 (/ r (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 2 (* s (PI)))
(+ (* -4/3 (/ r (* (pow s 2) (PI)))) (* 2 (/ 1 (* s (PI)))))
(+ (* r (- (* 5/9 (/ r (* (pow s 3) (PI)))) (* 4/3 (/ 1 (* (pow s 2) (PI)))))) (* 2 (/ 1 (* s (PI)))))
(+ (* r (- (* r (+ (* -14/81 (/ r (* (pow s 4) (PI)))) (* 5/9 (/ 1 (* (pow s 3) (PI)))))) (* 4/3 (/ 1 (* (pow s 2) (PI)))))) (* 2 (/ 1 (* s (PI)))))
(+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s)
(/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s)
(/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s)
(/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s)
(/ 2 (* s (PI)))
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/3 (/ r (* s (PI)))) (* 2 (/ 1 (PI))))) s)
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/3 (/ r (* s (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/2 (/ (pow r 2) (* (pow s 2) (PI)))) (* 2 (/ 1 (PI))))))) s)
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/3 (/ r (* s (PI)))) (+ (* -1/6 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* -1/162 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/2 (/ (pow r 2) (* (pow s 2) (PI)))) (* 2 (/ 1 (PI))))))))) s)
(/ 2 (* s (PI)))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (* 2 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (+ (* -1 (/ (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (pow r 2) (PI)))) s)) (* -1/3 (/ r (PI))))) s)) (* 2 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (pow r 3) (PI)))) s)) (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (pow r 2) (PI))))) s)) (* -1/3 (/ r (PI))))) s)) (* 2 (/ 1 (PI)))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(/ 1/4 (* r (PI)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (/ 5/72 (* r (* (pow s 2) (PI)))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (/ 1/6 (* (pow r 2) (* s (PI)))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 3))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI))))
(- (+ (* -7/324 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
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(/ (+ (* -1/18 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/108 (/ r (* (pow s 3) (PI)))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 4) (PI)))) (* 1/108 (/ 1 (* (pow s 3) (PI)))))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI))))) r)
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/6 (* r (* s (PI))))
(/ (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI)))) s)
(/ (- (+ (* -1/972 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI)))))) (/ 1/18 (* s (PI)))) s)
(/ 1/6 (* r (* s (PI))))
(* -1 (/ (- (* 1/18 (/ 1 (* s (PI)))) (* 1/6 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/108 (/ r (PI))) (* 1/972 (/ (pow r 2) (* s (PI))))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI))))) s))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(/ 1 (* s (PI)))
(+ (* -1/3 (/ r (* (pow s 2) (PI)))) (/ 1 (* s (PI))))
(+ (* r (- (* 1/18 (/ r (* (pow s 3) (PI)))) (* 1/3 (/ 1 (* (pow s 2) (PI)))))) (/ 1 (* s (PI))))
(+ (* r (- (* r (+ (* -1/162 (/ r (* (pow s 4) (PI)))) (* 1/18 (/ 1 (* (pow s 3) (PI)))))) (* 1/3 (/ 1 (* (pow s 2) (PI)))))) (/ 1 (* s (PI))))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ 1 (* s (PI)))
(/ (+ (* -1/3 (/ r (* s (PI)))) (/ 1 (PI))) s)
(/ (+ (* -1/3 (/ r (* s (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (/ 1 (PI)))) s)
(/ (+ (* -1/3 (/ r (* s (PI)))) (+ (* -1/162 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (/ 1 (PI))))) s)
(/ 1 (* s (PI)))
(* -1 (/ (- (* 1/3 (/ r (* s (PI)))) (/ 1 (PI))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ r (PI))) (* 1/18 (/ (pow r 2) (* s (PI))))) s)) (/ 1 (PI))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (/ (pow r 2) (PI))) (* 1/162 (/ (pow r 3) (* s (PI))))) s)) (* -1/3 (/ r (PI)))) s)) (/ 1 (PI))) s))
(/ -1/6 (* s (PI)))
(- (* -7/324 (/ (pow r 2) (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (* -7/324 (/ (pow r 2) (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (* -7/324 (/ (pow r 2) (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* -1 (* (pow r 2) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -1 (* (pow r 2) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -1 (* (pow r 2) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* -1 (* (pow r 2) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -1 (* (pow r 2) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -1 (* (pow r 2) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -1/6 (/ (pow s 2) (PI))) (* -7/324 (/ (pow r 2) (PI)))) (pow s 3))
(/ (+ (* -1/6 (/ (pow s 2) (PI))) (* -7/324 (/ (pow r 2) (PI)))) (pow s 3))
(/ (+ (* -1/6 (/ (pow s 2) (PI))) (* -7/324 (/ (pow r 2) (PI)))) (pow s 3))
(/ -1/6 (* s (PI)))
(/ (- (* -7/324 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/ (- (* -7/324 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/ (- (* -7/324 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/ -1/6 (* s (PI)))
(* -1 (/ (+ (* 7/324 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/6 (/ 1 (PI)))) s))
(* -1 (/ (+ (* 7/324 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/6 (/ 1 (PI)))) s))
(* -1 (/ (+ (* 7/324 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/6 (/ 1 (PI)))) s))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/144 (/ r (* (pow s 3) (PI))))
(* r (- (* 1/144 (/ 1 (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (+ (/ 1/8 (* (pow r 2) (* s (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) (/ 1/24 (* r (* (pow s 2) (PI))))))
(* r (- (+ (/ 1/8 (* (pow r 2) (* s (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) (/ 1/24 (* r (* (pow s 2) (PI))))))
(* 1/144 (/ r (* (pow s 3) (PI))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* 1/144 (/ r (* (pow s 3) (PI))))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 3))
(/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))) (pow s 3))
(/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))) (pow s 3))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ -1/24 (PI))
(- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI))))
(- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI))))
(- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI))))
(* 1/144 (/ r (* s (PI))))
(* r (- (* 1/144 (/ 1 (* s (PI)))) (* 1/24 (/ 1 (* r (PI))))))
(* r (- (* 1/144 (/ 1 (* s (PI)))) (* 1/24 (/ 1 (* r (PI))))))
(* r (- (* 1/144 (/ 1 (* s (PI)))) (* 1/24 (/ 1 (* r (PI))))))
(* 1/144 (/ r (* s (PI))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (PI)))) (* 1/144 (/ 1 (* s (PI)))))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (PI)))) (* 1/144 (/ 1 (* s (PI)))))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (PI)))) (* 1/144 (/ 1 (* s (PI)))))))
(* 1/144 (/ r (* s (PI))))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) s)
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) s)
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) s)
(/ -1/24 (PI))
(- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI))))
(- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI))))
(- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI))))
(/ -1/24 (PI))
(- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI))))
(- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI))))
(- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
Outputs
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(fma.f32 r (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
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(fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI))))
(fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(* r (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) r)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)

rewrite389.0ms (2.4%)

Memory
-21.6MiB live, 411.2MiB allocated
Rules
4 670×lower-*.f64
4 630×lower-*.f32
3 404×lower-/.f64
3 362×lower-/.f32
3 226×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095623
0159629
1588581
25537573
08058569
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 937
Calls
Call 1
Inputs
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 r s))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal 3/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) s) (/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
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(*.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (*.f32 (*.f32 r s) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 r s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(neg.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal -1 binary32)))
(pow.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))) #s(literal -1 binary32))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (*.f32 r (*.f32 s (neg.f32 (PI.f32))))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))))
(/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (neg.f32 (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32))) (neg.f32 (*.f32 r s)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (neg.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 r s)))
(neg.f32 (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r))) #s(literal -1 binary32)))
(pow.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -3 binary32) (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 s (*.f32 (neg.f32 r) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s #s(literal 3 binary32))) (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal -3 binary32) (/.f32 s r)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) (/.f32 r s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 r #s(literal -1/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (neg.f32 r) #s(literal 1/3 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r))))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) s)
(/.f32 (*.f32 r #s(literal 1 binary32)) (*.f32 s #s(literal -3 binary32)))
(/.f32 (*.f32 (neg.f32 r) #s(literal 1 binary32)) (*.f32 s #s(literal 3 binary32)))
(/.f32 (neg.f32 (*.f32 r #s(literal -1/3 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32))) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1/3 binary32) (neg.f32 r)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 r) #s(literal -1/3 binary32)) (neg.f32 s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 r (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/3 binary32)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 (neg.f32 r) (/.f32 #s(literal 1/3 binary32) s))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 r))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 r #s(literal 3 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(*.f32 (*.f32 r #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s))

eval208.0ms (1.3%)

Memory
20.1MiB live, 385.4MiB allocated
Compiler

Compiled 67 162 to 4 156 computations (93.8% saved)

prune681.0ms (4.2%)

Memory
-10.2MiB live, 795.0MiB allocated
Pruning

60 alts after pruning (58 fresh and 2 done)

PrunedKeptTotal
New1 734511 785
Fresh12719
Picked325
Done000
Total1 749601 809
Accuracy
99.9%
Counts
1 809 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
11.5%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
▶11.8%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
10.4%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
10.3%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
10.5%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -1/972 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.9%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/972 binary32)) (*.f32 s (PI.f32)))) s)) s)) (neg.f32 s))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
10.3%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s (PI.f32)) r))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.0%
(/.f32 (fma.f32 #s(literal 27/64 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -3 binary32)) (*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))) (fma.f32 #s(literal 9/16 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32)))) r))))
11.1%
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
6.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/144 binary32)) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) r)))
▶10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))))
6.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) #s(approx (/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r) (*.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal 1/144 binary32)))))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/24 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))) s))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
▶10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI)))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 7/324 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)))) s))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r (PI.f32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal 1/8 binary32)) r))
98.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 s (PI.f32))))) r))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
✓99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
98.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 s (PI.f32))))) r))
10.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
11.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
11.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s) (*.f32 r #s(literal 1/3 binary32))) s))) (*.f32 s (PI.f32))))) r))
11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 s (PI.f32))))) r))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 s (PI.f32))))) r))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (*.f32 s (*.f32 s s)))) s))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
▶9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (/.f32 #s(literal 1/8 binary32) r)))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 s (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))))
99.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
Compiler

Compiled 3 805 to 2 221 computations (41.6% saved)

simplify316.0ms (2%)

Memory
-4.9MiB live, 272.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff64
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))
cost-diff160
(-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s))
cost-diff320
(fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)))
cost-diff864
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
cost-diff0
(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff0
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff0
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))))
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff0
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))
cost-diff0
(fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
cost-diff0
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
cost-diff0
(*.f32 r s)
cost-diff0
(*.f32 (*.f32 r s) (PI.f32))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
cost-diff0
(/.f32 r (*.f32 s #s(literal -3 binary32)))
cost-diff0
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
cost-diff0
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
cost-diff864
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
Rules
14 316×lower-fma.f64
14 308×lower-fma.f32
5 240×lower-*.f64
5 196×lower-*.f32
2 458×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092729
0150703
1274683
2666658
32129640
44300628
55861628
08080616
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
#s(literal 1/8 binary32)
(*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(exp.f32 (/.f32 r s))
(/.f32 r s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 r s)
r
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
r
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))
#s(literal -1/6 binary32)
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
#s(literal 1/4 binary32)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
#s(literal 1/8 binary32)
(*.f32 (*.f32 s (PI.f32)) r)
(*.f32 s (PI.f32))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
#s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))
#s(literal 1 binary32)
(/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s)
(-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s))
(*.f32 r #s(literal 1/3 binary32))
r
#s(literal 1/3 binary32)
(/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)
(fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)))
(*.f32 r #s(literal 1/18 binary32))
#s(literal 1/18 binary32)
(*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))
#s(literal -1/162 binary32)
(/.f32 (*.f32 r (*.f32 r r)) s)
(*.f32 r (*.f32 r r))
(*.f32 r r)
s
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r s)
Outputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) (*.f32 s #s(literal 6 binary32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 r (*.f32 (PI.f32) (*.f32 s #s(literal 6 binary32))))
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (PI.f32) (*.f32 s #s(literal 6 binary32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
#s(literal 1/8 binary32)
(*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(exp.f32 (/.f32 r s))
(/.f32 r s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 r s)
r
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
r
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))
#s(literal -1/6 binary32)
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
#s(literal 1/4 binary32)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s))))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 (neg.f32 r) s)
(/.f32 r (neg.f32 s))
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 r (*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r)))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 (*.f32 s (PI.f32)) r)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s)) #s(literal 1 binary32)))))
(/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s)) #s(literal 1 binary32))) (*.f32 r (*.f32 (PI.f32) (*.f32 s #s(literal 6 binary32)))))
#s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s)))
#s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))
(fma.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s)
(*.f32 (/.f32 r s) (+.f32 (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal 1/162 binary32) #s(literal -1/18 binary32))) s) #s(literal 1/3 binary32)))
(-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s))
(*.f32 r (+.f32 (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal 1/162 binary32) #s(literal -1/18 binary32))) s) #s(literal 1/3 binary32)))
(*.f32 r #s(literal 1/3 binary32))
r
#s(literal 1/3 binary32)
(/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)
(/.f32 (*.f32 r (*.f32 (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)) r)) s)
(fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)))
(*.f32 r (*.f32 (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)) r))
(*.f32 r #s(literal 1/18 binary32))
#s(literal 1/18 binary32)
(*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))
(*.f32 (/.f32 r s) (*.f32 r (*.f32 r #s(literal -1/162 binary32))))
#s(literal -1/162 binary32)
(/.f32 (*.f32 r (*.f32 r r)) s)
(*.f32 r (*.f32 r r))
(*.f32 r r)
s
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 r (*.f32 (PI.f32) (*.f32 s #s(literal 6 binary32))))
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (PI.f32) (*.f32 s #s(literal 6 binary32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 r s)

localize507.0ms (3.1%)

Memory
-4.4MiB live, 329.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.37109375
(*.f32 r #s(literal 1/3 binary32))
accuracy0.4069137695368841
(*.f32 (PI.f32) (*.f32 r s))
accuracy0.6828256890434085
(*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))
accuracy28.17253424128545
#s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s)))
accuracy0.3046875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy0.3046875
(*.f32 s (PI.f32))
accuracy0.35080998016428755
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
accuracy28.768114231684734
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r)))
accuracy0.3046875
(*.f32 s (PI.f32))
accuracy0.6862509516906803
(fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
accuracy0.8570067948773903
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
accuracy28.731898246560984
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
accuracy0
(PI.f32)
accuracy0.33984375
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
accuracy0.4069137695368841
(*.f32 (*.f32 r s) (PI.f32))
accuracy28.869933899328704
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
accuracy0.21875
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
accuracy0.23828125
(*.f32 r (*.f32 s (PI.f32)))
accuracy0.296875
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy0.3046875
(*.f32 s (PI.f32))
Samples
332.0ms256×0valid
Compiler

Compiled 624 to 79 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-mult: 38.0ms (26.8% of total)
const: 35.0ms (24.7% of total)
ival-div: 27.0ms (19% of total)
ival-add: 26.0ms (18.3% of total)
ival-exp: 9.0ms (6.3% of total)
ival-sub: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series116.0ms (0.7%)

Memory
6.8MiB live, 105.4MiB allocated
Counts
31 → 672
Calls
Call 1
Inputs
#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (patch (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (patch (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r s) (PI.f32)) (patch (*.f32 (*.f32 r s) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 r s) (patch (*.f32 r s) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r) (patch (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r) #<representation binary32>) () ())
#s(alt (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (patch (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (patch (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r)))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (patch (fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) #<representation binary32>) () ())
#s(alt (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) (patch (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) (patch (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s)) (patch (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s)) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 s (PI.f32))) (patch (*.f32 r (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (patch (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))) (patch #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (patch #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())
#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r) (taylor inf r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r) (taylor inf r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r) (taylor inf r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r) (taylor inf r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r)) (taylor -inf r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r)) (taylor -inf r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())) ())
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#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf s) (#s(alt (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) (patch (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor 0 r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor 0 r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor 0 r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor 0 r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor inf r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor inf r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor inf r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor inf r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor -inf r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor -inf r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor -inf r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 r) (taylor -inf r) (#s(alt (*.f32 r #s(literal 1/3 binary32)) (patch (*.f32 r #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
Calls

168 calls:

TimeVariablePointExpression
31.0ms
r
@0
(- 1 (/ (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) s))
2.0ms
r
@0
(+ (* (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) 3/4) (/ 1/8 (* (* r (* s (PI))) (exp (/ r s)))))
2.0ms
s
@0
(+ (* (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) 3/4) (/ 1/8 (* (* r (* s (PI))) (exp (/ r s)))))
1.0ms
r
@inf
(+ (* (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) 3/4) (/ 1/8 (* (* r (* s (PI))) (exp (/ r s)))))
1.0ms
r
@-inf
(+ (* (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) 3/4) (/ 1/8 (* (* r (* s (PI))) (exp (/ r s)))))

simplify598.0ms (3.7%)

Memory
36.5MiB live, 535.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 642×lower-fma.f64
9 642×lower-fma.f32
6 032×lower-*.f64
6 032×lower-*.f32
2 510×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06418071
119817811
257147709
080977495
Stop Event
1×iter limit
1×node limit
Counts
672 → 672
Calls
Call 1
Inputs
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/8 (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))))))) s)) (+ (* -1/144 (/ r (PI))) (* 1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/6 (* r (* s (PI))))
(/ (+ (* -1/18 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/108 (/ r (* (pow s 3) (PI)))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 4) (PI)))) (* 1/108 (/ 1 (* (pow s 3) (PI)))))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI))))) r)
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/6 (* r (* s (PI))))
(/ (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI)))) s)
(/ (- (+ (* -1/972 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI)))))) (/ 1/18 (* s (PI)))) s)
(/ 1/6 (* r (* s (PI))))
(* -1 (/ (- (* 1/18 (/ 1 (* s (PI)))) (* 1/6 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/108 (/ r (PI))) (* 1/972 (/ (pow r 2) (* s (PI))))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI))))) s))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
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(+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2)))
(+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2)))
(* 1/3 r)
(* r (+ 1/3 (* -1/18 (/ r s))))
(* r (+ 1/3 (* r (- (* 1/162 (/ r (pow s 2))) (* 1/18 (/ 1 s))))))
(* r (+ 1/3 (* r (- (* 1/162 (/ r (pow s 2))) (* 1/18 (/ 1 s))))))
(* 1/162 (/ (pow r 3) (pow s 2)))
(* (pow r 3) (- (* 1/162 (/ 1 (pow s 2))) (* 1/18 (/ 1 (* r s)))))
(* (pow r 3) (- (+ (/ 1/3 (pow r 2)) (* 1/162 (/ 1 (pow s 2)))) (/ 1/18 (* r s))))
(* (pow r 3) (- (+ (/ 1/3 (pow r 2)) (* 1/162 (/ 1 (pow s 2)))) (/ 1/18 (* r s))))
(* 1/162 (/ (pow r 3) (pow s 2)))
(* -1 (* (pow r 3) (- (* 1/18 (/ 1 (* r s))) (* 1/162 (/ 1 (pow s 2))))))
(* -1 (* (pow r 3) (- (* -1 (/ (- (* 1/3 (/ 1 r)) (* 1/18 (/ 1 s))) r)) (* 1/162 (/ 1 (pow s 2))))))
(* -1 (* (pow r 3) (- (* -1 (/ (- (* 1/3 (/ 1 r)) (* 1/18 (/ 1 s))) r)) (* 1/162 (/ 1 (pow s 2))))))
(* 1/162 (/ (pow r 3) (pow s 2)))
(/ (- (* -1/18 (* (pow r 2) s)) (* -1/162 (pow r 3))) (pow s 2))
(/ (- (* s (- (* 1/3 (* r s)) (* 1/18 (pow r 2)))) (* -1/162 (pow r 3))) (pow s 2))
(/ (- (* s (- (* 1/3 (* r s)) (* 1/18 (pow r 2)))) (* -1/162 (pow r 3))) (pow s 2))
(* 1/3 r)
(+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r))
(- (+ (* 1/162 (/ (pow r 3) (pow s 2))) (* 1/3 r)) (* 1/18 (/ (pow r 2) s)))
(- (+ (* 1/162 (/ (pow r 3) (pow s 2))) (* 1/3 r)) (* 1/18 (/ (pow r 2) s)))
(* 1/3 r)
(+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r))
(+ (* -1 (/ (- (* -1/162 (/ (pow r 3) s)) (* -1/18 (pow r 2))) s)) (* 1/3 r))
(+ (* -1 (/ (- (* -1/162 (/ (pow r 3) s)) (* -1/18 (pow r 2))) s)) (* 1/3 r))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(* (pow r 3) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* (pow r 3) (- (/ 1/18 (* r (pow s 2))) (+ (* 1/162 (/ 1 (pow s 3))) (/ 1/3 (* (pow r 2) s)))))
(* (pow r 3) (- (+ (/ 1/18 (* r (pow s 2))) (/ 1 (pow r 3))) (+ (* 1/162 (/ 1 (pow s 3))) (* 1/3 (/ 1 (* (pow r 2) s))))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(* -1 (* (pow r 3) (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))) r)) (* 1/162 (/ 1 (pow s 3))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 s)) (/ 1 r)) r)) (* 1/18 (/ 1 (pow s 2)))) r)) (* 1/162 (/ 1 (pow s 3))))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(/ (+ (* -1/162 (pow r 3)) (* 1/18 (* (pow r 2) s))) (pow s 3))
(/ (+ (* -1/162 (pow r 3)) (* s (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))))) (pow s 3))
(/ (+ (* -1/162 (pow r 3)) (* s (+ (* 1/18 (pow r 2)) (* s (- s (* 1/3 r)))))) (pow s 3))
1
(+ 1 (* -1/3 (/ r s)))
(- (+ 1 (* 1/18 (/ (pow r 2) (pow s 2)))) (* 1/3 (/ r s)))
(- (+ 1 (* -1/162 (/ (pow r 3) (pow s 3)))) (+ (* -1/18 (/ (pow r 2) (pow s 2))) (* 1/3 (/ r s))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (- (* -1/18 (/ (pow r 2) s)) (* -1/3 r)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/162 (/ (pow r 3) s)) (* -1/18 (pow r 2))) s)) (* -1/3 r)) s)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
(* 1/3 r)
Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (* (PI) (exp (/ r s))))))) r))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 r (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/ (- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 #s(literal -1/8 binary32) (+.f32 (/.f32 (fma.f32 r (/.f32 (*.f32 r #s(literal 1/2 binary32)) (PI.f32)) (*.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -1/2 binary32)) (*.f32 s s))) (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
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(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (PI.f32)))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(neg.f32 (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32))) s))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 (*.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s) s))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s) (*.f32 r #s(literal -1/3 binary32))) s))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* -1/162 (/ (pow r 3) s))
(*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))
(* 1/3 r)
(*.f32 r #s(literal 1/3 binary32))

rewrite449.0ms (2.8%)

Memory
30.0MiB live, 496.4MiB allocated
Rules
5 118×lower-*.f64
5 074×lower-*.f32
4 630×lower-fma.f64
4 622×lower-fma.f32
3 532×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092477
0150465
1514438
24245438
08628434
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
31 → 778
Calls
Call 1
Inputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 r s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s)))
(-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))
(*.f32 s (PI.f32))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
#s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s)))
(*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r #s(literal 1/3 binary32))
Outputs
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(+.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) (/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r) (*.f32 #s(literal 9/16 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -2 binary32)))) (fma.f32 #s(literal 27/64 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -3 binary32)) (/.f32 #s(literal 1/512 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 s (PI.f32)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))) (fma.f32 #s(literal 9/16 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -2 binary32)) (neg.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))) (fma.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))) (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))))) (fma.f32 #s(literal 27/64 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -3 binary32)) (/.f32 #s(literal 1/512 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 s (PI.f32)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s))))) (*.f32 #s(literal 9/16 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -2 binary32))))) #s(literal -1 binary32))
(fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal -3/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (neg.f32 (*.f32 r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 r) (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 r (*.f32 (PI.f32) (neg.f32 s))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) r) (pow.f32 (/.f32 (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))) #s(literal 1/8 binary32)) #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) (pow.f32 (/.f32 (exp.f32 (/.f32 r s)) #s(literal 1/8 binary32)) #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
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(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(log.f32 (exp.f32 (PI.f32)))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(neg.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))) #s(literal -1 binary32))
(pow.f32 (/.f32 r (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (*.f32 r (*.f32 (PI.f32) (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32))) (neg.f32 (*.f32 r s)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (neg.f32 r))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (PI.f32) (neg.f32 s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) r))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (pow.f32 (/.f32 r #s(literal 1/8 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (*.f32 r (PI.f32)) #s(literal 1/8 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 r s)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (/.f32 (*.f32 r s) #s(literal 1/8 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/8 binary32)) #s(literal -1 binary32)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 (*.f32 s #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) s) (PI.f32))
#s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)) (neg.f32 s))) s)))
(pow.f32 (/.f32 s (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r)))))
(/.f32 #s(literal -1/162 binary32) (/.f32 s (*.f32 r (*.f32 r r))))
(/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)
(/.f32 (neg.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r)))) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1/162 binary32) (neg.f32 (*.f32 r (*.f32 r r)))) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 (*.f32 r (*.f32 r r))) #s(literal -1/162 binary32)) (neg.f32 s))
(*.f32 r (*.f32 (/.f32 (*.f32 r r) s) #s(literal -1/162 binary32)))
(*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))
(*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/162 binary32)))
(*.f32 (/.f32 (*.f32 r (*.f32 r r)) s) #s(literal -1/162 binary32))
(*.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 #s(literal -1/162 binary32) r) (/.f32 (*.f32 r r) s))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 r (PI.f32)))
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 (*.f32 s (PI.f32)) r)
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 (*.f32 (*.f32 r s) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 r s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 r #s(literal 1/3 binary32))
(*.f32 #s(literal 1/3 binary32) r)

eval269.0ms (1.7%)

Memory
1.6MiB live, 386.3MiB allocated
Compiler

Compiled 63 618 to 4 248 computations (93.3% saved)

prune560.0ms (3.5%)

Memory
-24.8MiB live, 1 066.8MiB allocated
Pruning

83 alts after pruning (78 fresh and 5 done)

PrunedKeptTotal
New1 802361 838
Fresh114253
Picked235
Done022
Total1 815831 898
Accuracy
99.9%
Counts
1 898 → 83
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
11.8%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (*.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)) (neg.f32 s))) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
10.4%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
▶11.5%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.8%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s))))
11.7%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.8%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) (*.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/162 binary32) (/.f32 #s(literal -1/18 binary32) s)) #s(literal 1/3 binary32)))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.9%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s) (*.f32 r #s(literal -1/3 binary32))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
6.1%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) s)) (/.f32 (fma.f32 r (*.f32 (*.f32 r r) #s(literal -1/162 binary32)) (*.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 r s)))) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
▶10.4%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.5%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
11.0%
(/.f32 (fma.f32 #s(literal 27/64 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -3 binary32)) (/.f32 #s(literal 1/512 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 s (PI.f32))))))) (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) (/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r) (*.f32 #s(literal 9/16 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -2 binary32)))))
11.1%
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32)))))
11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
6.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/144 binary32)) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) r)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))))
6.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) #s(approx (/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r) (*.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal 1/144 binary32)))))
9.2%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/24 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
✓10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
▶9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r (PI.f32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal 1/8 binary32)) r))
98.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 s (PI.f32))))) r))
▶99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
✓99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
98.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 s (PI.f32))))) r))
10.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
11.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
11.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s) (*.f32 r #s(literal 1/3 binary32))) s))) (*.f32 s (PI.f32))))) r))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (*.f32 s (*.f32 s s)))) s))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal -1/6 binary32)) (PI.f32))) (*.f32 s s))) r))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
▶9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (/.f32 #s(literal 1/8 binary32) r)))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 s (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
99.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
Compiler

Compiled 4 718 to 2 860 computations (39.4% saved)

simplify321.0ms (2%)

Memory
34.2MiB live, 349.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
cost-diff320
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
cost-diff864
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
cost-diff0
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
cost-diff0
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
cost-diff0
(/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
cost-diff864
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
cost-diff192
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))
cost-diff992
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
cost-diff0
(*.f32 r (PI.f32))
cost-diff0
(*.f32 (*.f32 r (PI.f32)) s)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
cost-diff0
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))
cost-diff0
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
cost-diff512
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
Rules
9 314×lower-fma.f64
9 306×lower-fma.f32
4 586×lower-*.f64
4 556×lower-*.f32
2 610×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081631
0128622
1261601
2656576
32159546
43185546
53690546
64418546
74897546
85844546
08072538
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
#s(literal 1/8 binary32)
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))
(/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32)))
(exp.f32 (neg.f32 (/.f32 r s)))
(neg.f32 (/.f32 r s))
(/.f32 r s)
r
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(E.f32)
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
#s(literal 1/4 binary32)
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 r (PI.f32))
r
(PI.f32)
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
#s(literal 1/4 binary32)
(*.f32 r s)
r
s
(sqrt.f32 (PI.f32))
(PI.f32)
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
r
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
s
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
#s(literal 1/8 binary32)
(*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(exp.f32 (/.f32 r s))
(/.f32 r s)
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
#s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
(/.f32 r s)
r
s
#s(literal -1/3 binary32)
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))
(*.f32 r r)
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
#s(literal 1/18 binary32)
(*.f32 s s)
#s(literal 1 binary32)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r s)
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) r)
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))
#s(literal 1/8 binary32)
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))
(/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32)))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(neg.f32 (/.f32 r s))
(/.f32 r (neg.f32 s))
(/.f32 r s)
r
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
(/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32)))
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(E.f32)
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
#s(literal -1/3 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 r (PI.f32))
r
(PI.f32)
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
#s(literal 1/4 binary32)
(*.f32 r s)
r
s
(sqrt.f32 (PI.f32))
(PI.f32)
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32)))))
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 r (*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32))))
r
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32)))
s
(*.f32 (PI.f32) #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) (PI.f32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
#s(literal 1/8 binary32)
(*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(exp.f32 (/.f32 r s))
(/.f32 r s)
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) #s(literal 1 binary32))) (*.f32 r (*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32)))))
#s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))
#s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
(fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) #s(literal 1 binary32))
(/.f32 r s)
r
s
#s(literal -1/3 binary32)
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))
(*.f32 r r)
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
#s(literal 1/18 binary32)
(*.f32 s s)
#s(literal 1 binary32)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 r (*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32))))
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) (PI.f32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 r s)

localize266.0ms (1.7%)

Memory
5.3MiB live, 377.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.4069137695368841
(*.f32 (PI.f32) (*.f32 r s))
accuracy0.9492187634361432
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
accuracy1.0036120298196995
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))
accuracy28.191562928305014
#s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))
accuracy0.21875
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
accuracy0.23828125
(*.f32 r (*.f32 s (PI.f32)))
accuracy0.3046875
(*.f32 s (PI.f32))
accuracy28.348829574799257
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
accuracy0.27734375
(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
accuracy0.4633450455554721
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy0.509087192980316
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))
accuracy28.869933899328704
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
accuracy0.28515625
(*.f32 (*.f32 r (PI.f32)) s)
accuracy0.3359375
(*.f32 r (PI.f32))
accuracy0.33984375
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
accuracy28.869933899328704
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
accuracy0.033535009768442016
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
accuracy0.07046385764147388
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
accuracy0.3046875
(*.f32 s (PI.f32))
accuracy0.642660882807168
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
Samples
139.0ms256×0valid
Compiler

Compiled 538 to 78 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 47.0ms (40.7% of total)
ival-div: 27.0ms (23.4% of total)
ival-exp: 11.0ms (9.5% of total)
const: 7.0ms (6.1% of total)
ival-add: 6.0ms (5.2% of total)
ival-pow: 5.0ms (4.3% of total)
ival-sqrt: 4.0ms (3.5% of total)
ival-neg: 4.0ms (3.5% of total)
ival-e: 2.0ms (1.7% of total)
ival-pi: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series75.0ms (0.5%)

Memory
12.9MiB live, 104.7MiB allocated
Counts
28 → 648
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (patch (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r (PI.f32)) s) (patch (*.f32 (*.f32 r (PI.f32)) s) #<representation binary32>) () ())
#s(alt (*.f32 r (PI.f32)) (patch (*.f32 r (PI.f32)) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (patch (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (patch (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) (patch (fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (patch (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (patch #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (patch (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (patch (fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (patch (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (patch (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (patch (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) (patch (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (patch (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))) (patch (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 s (PI.f32))) (patch (*.f32 r (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (patch #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* s (PI))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/8 (* r (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* r (+ (* 1/8 (* r (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI))))))) (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* r (+ (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))) (* r (+ (* 1/8 (* r (- (* -1/162 (/ (pow (log (E)) 3) (* (pow s 4) (PI)))) (* 1/6 (/ 1 (* (pow s 4) (PI))))))) (* 1/8 (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI)))))))))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI))))) (taylor -inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI))))) (taylor -inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI))))) (taylor -inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI))))) (taylor -inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) s)) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) s)) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) s)) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) s)) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* s (PI))) (taylor inf s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))) s)) (* 1/4 (/ 1 (PI)))) s) (taylor inf s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))) s)) (+ (* 1/8 (/ (+ (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI))))) s) (taylor inf s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))) s)) (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI)))))) s) (taylor inf s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* s (PI))) (taylor -inf s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))) s)) (* 1/4 (/ 1 (PI)))) s)) (taylor -inf s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (PI)))) s)) (* 1/8 (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))))) s)) (* 1/4 (/ 1 (PI)))) s)) (taylor -inf s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (PI)))))) s)) (* 1/8 (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))))) s)) (* 1/4 (/ 1 (PI)))) s)) (taylor -inf s) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
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#s(alt (* r (* s (PI))) (taylor 0 r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
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#s(alt (* r (* s (PI))) (taylor 0 r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
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#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
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#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
Calls

162 calls:

TimeVariablePointExpression
12.0ms
r
@0
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (pow (E) (* (/ r s) -1/3)) (* s (PI)))))
11.0ms
s
@-inf
(/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (pow (E) (* (/ r s) -1/3)) (* s (PI))))) r)
1.0ms
s
@inf
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (pow (E) (* (/ r s) -1/3)) (* s (PI)))))
1.0ms
r
@0
(/ (/ 1/4 (* r s)) (sqrt (PI)))
1.0ms
r
@-inf
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (pow (E) (* (/ r s) -1/3)) (* s (PI)))))

simplify294.0ms (1.8%)

Memory
20.4MiB live, 459.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 038×lower-fma.f64
8 038×lower-fma.f32
4 532×lower-*.f64
4 532×lower-*.f32
2 998×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07119227
122428714
265968625
081088388
Stop Event
1×iter limit
1×node limit
Counts
648 → 648
Calls
Call 1
Inputs
(/ 1/4 (* s (PI)))
(+ (* 1/8 (* r (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(+ (* r (+ (* 1/8 (* r (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI))))))) (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))))) (* 1/4 (/ 1 (* s (PI)))))
(+ (* r (+ (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))) (* r (+ (* 1/8 (* r (- (* -1/162 (/ (pow (log (E)) 3) (* (pow s 4) (PI)))) (* 1/6 (/ 1 (* (pow s 4) (PI))))))) (* 1/8 (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI)))))))))) (* 1/4 (/ 1 (* s (PI)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (* s (PI)))))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) s))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) s))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) s))
(* 1/8 (/ (+ (/ (exp (neg (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) s))
(/ 1/4 (* s (PI)))
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))) s)) (* 1/4 (/ 1 (PI)))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))) s)) (+ (* 1/8 (/ (+ (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI))))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))) s)) (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI)))))) s)
(/ 1/4 (* s (PI)))
(* -1 (/ (- (* -1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (PI)))) s)) (* 1/8 (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (PI)))))) s)) (* 1/8 (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
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Outputs
(/ 1/4 (* s (PI)))
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1
#s(literal 1 binary32)
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(fma.f32 #s(literal 1/18 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 1 binary32))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(fma.f32 #s(literal 1/18 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 1 binary32))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(fma.f32 #s(literal 1/18 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 1 binary32))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))

rewrite516.0ms (3.2%)

Memory
-21.1MiB live, 394.2MiB allocated
Rules
4 868×lower-*.f64
4 838×lower-*.f32
3 830×lower-/.f64
3 802×lower-/.f32
3 666×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081485
0128476
1510441
24417441
08907436
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 808
Calls
Call 1
Inputs
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 r (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 s (PI.f32))
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
(*.f32 r (*.f32 s (PI.f32)))
#s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))
(*.f32 (PI.f32) (*.f32 r s))
Outputs
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s) (/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 6 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(/.f32 (+.f32 (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal 3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s)))))) (+.f32 (pow.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s)))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s))))) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 r s)))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s)))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s)))))) (+.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)) (-.f32 (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)) (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)))) (/.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))))
(/.f32 (*.f32 (fma.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s))
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s)))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))) #s(literal 1/8 binary32)) (+.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)) (-.f32 (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)))))
(/.f32 (*.f32 (-.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)) (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s))) #s(literal 1/8 binary32)) (/.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))))
(*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal -1 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1 binary32))))
(/.f32 (fma.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (*.f32 r r) r) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 s s)))))
(/.f32 (fma.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (*.f32 r r) r) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 s s)))))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1 binary32)) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (*.f32 r r) r) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))) (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 s s))))))
(/.f32 (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1 binary32))) (neg.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 s s))))
(*.f32 (fma.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (*.f32 r r) r) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 s s))))))
(*.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal -1 binary32))))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 r (PI.f32)))
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 (*.f32 s (PI.f32)) r)
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 r s) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 r s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))

eval181.0ms (1.1%)

Memory
36.0MiB live, 229.2MiB allocated
Compiler

Compiled 47 404 to 3 398 computations (92.8% saved)

prune608.0ms (3.8%)

Memory
-31.7MiB live, 932.8MiB allocated
Pruning

112 alts after pruning (104 fresh and 8 done)

PrunedKeptTotal
New1 492421 534
Fresh116273
Picked235
Done055
Total1 5051121 617
Accuracy
99.9%
Counts
1 617 → 112
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.4%
(fma.f32 (/.f32 (/.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (*.f32 (PI.f32) #s(literal 6 binary32))) s) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 (/.f32 (/.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (*.f32 s (PI.f32))) #s(literal 6 binary32)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 (/.f32 (/.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) #s(literal 6 binary32)) (*.f32 s (PI.f32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
✓99.7%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
11.8%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (*.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)) (neg.f32 s))) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
10.4%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
9.2%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)))
9.2%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
8.8%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
11.8%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s))))
11.7%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.8%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) (*.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/162 binary32) (/.f32 #s(literal -1/18 binary32) s)) #s(literal 1/3 binary32)))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.9%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s) (*.f32 r #s(literal -1/3 binary32))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
6.1%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) s)) (/.f32 (fma.f32 r (*.f32 (*.f32 r r) #s(literal -1/162 binary32)) (*.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 r s)))) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.7%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* (/ r s) -1/3) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (/.f32 (fma.f32 s (fma.f32 r #s(literal -1/3 binary32) s) (*.f32 #s(literal 1/18 binary32) (*.f32 r r))) (*.f32 s s)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
10.4%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 r s) #s(literal 6 binary32)) (PI.f32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 6 binary32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 (*.f32 s (PI.f32)) (*.f32 #s(literal 6 binary32) r))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
10.4%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
✓10.4%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) #s(approx (* r (* s (* (PI) 6))) (*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
10.4%
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 (*.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.5%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
10.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
11.0%
(/.f32 (fma.f32 #s(literal 27/64 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -3 binary32)) (/.f32 #s(literal 1/512 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 s (PI.f32))))))) (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) (/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r) (*.f32 #s(literal 9/16 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -2 binary32)))))
11.1%
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32)))))
11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
6.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/144 binary32)) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) r)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r))))
6.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) #s(approx (/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r) (*.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal 1/144 binary32)))))
9.2%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/24 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
✓10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) r))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 r s) #s(literal 4 binary32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r (PI.f32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (sqrt.f32 (PI.f32))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal 1/8 binary32)) r))
98.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 s (PI.f32))))) r))
✓99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
✓99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
98.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 s (PI.f32))))) r))
10.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
11.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
11.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (*.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s))) s))) (*.f32 s (PI.f32))))) r))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)) (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32)))))) r))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (*.f32 s (*.f32 s s)))) s))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal -1/6 binary32)) (PI.f32))) (*.f32 s s))) r))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (/.f32 #s(literal 1/8 binary32) r)))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (neg.f32 (-.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -5/72 binary32) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 s (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
99.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (pow (E) (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
Compiler

Compiled 7 489 to 2 623 computations (65% saved)

regimes197.0ms (1.2%)

Memory
-11.8MiB live, 233.6MiB allocated
Counts
154 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 r s) #s(literal 4 binary32)))))
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(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 s (PI.f32))))) r))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (*.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)) (neg.f32 s))) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -1/972 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/972 binary32)) (*.f32 s (PI.f32)))) s)) s)) (neg.f32 s))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal 1/8 binary32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (pow (E) (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal 1/6 binary32)) (*.f32 (*.f32 s (PI.f32)) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s)) (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) (PI.f32)) s))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32)))))) r))
(/.f32 (fma.f32 #s(literal 27/64 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -3 binary32)) (/.f32 #s(literal 1/512 binary32) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 s (PI.f32))))))) (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) (/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r) (*.f32 #s(literal 9/16 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 27/64 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -3 binary32)) (*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))) (fma.f32 #s(literal 9/16 binary32) (pow.f32 (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (exp.f32 (neg.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (PI.f32)))) r))))
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))))
Outputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
Calls

3 calls:

71.0ms
s
62.0ms
r
56.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes127.0ms (0.8%)

Memory
26.2MiB live, 231.0MiB allocated
Counts
142 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
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(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* (/ r s) -1/3) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (/.f32 (fma.f32 s (fma.f32 r #s(literal -1/3 binary32) s) (*.f32 #s(literal 1/18 binary32) (*.f32 r r))) (*.f32 s s)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) s)) (/.f32 (fma.f32 r (*.f32 (*.f32 r r) #s(literal -1/162 binary32)) (*.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 r s)))) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s) (*.f32 r #s(literal -1/3 binary32))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) (*.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/162 binary32) (/.f32 #s(literal -1/18 binary32) s)) #s(literal 1/3 binary32)))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 s (PI.f32))))) r))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 s (PI.f32))))) r))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (*.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)) (neg.f32 s))) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -1/972 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/972 binary32)) (*.f32 s (PI.f32)))) s)) s)) (neg.f32 s))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal 1/8 binary32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (pow (E) (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
Calls

3 calls:

47.0ms
r
42.0ms
s
31.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes129.0ms (0.8%)

Memory
-11.4MiB live, 219.6MiB allocated
Counts
141 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 s (PI.f32))))) r))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (*.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)) (neg.f32 s))) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal 1/8 binary32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (pow (E) (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
Calls

3 calls:

43.0ms
r
38.0ms
s
31.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes157.0ms (1%)

Memory
-0.5MiB live, 190.6MiB allocated
Counts
140 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 s (PI.f32))))) r))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 s (PI.f32))))) r))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (*.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)) (neg.f32 s))) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -1/972 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/972 binary32)) (*.f32 s (PI.f32)))) s)) s)) (neg.f32 s))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal 1/8 binary32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (* 1/8 (+ (/ (exp (neg (/ r s))) (* s (PI))) (/ (pow (E) (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)))) (*.f32 s r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (/.f32 #s(literal 1/8 binary32) r)))
Calls

3 calls:

62.0ms
r
51.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
38.0ms
s
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes133.0ms (0.8%)

Memory
-4.2MiB live, 184.7MiB allocated
Counts
134 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s) (*.f32 r #s(literal 1/3 binary32))) s))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (*.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s))) s))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* (/ r s) -1/3) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (/.f32 (fma.f32 s (fma.f32 r #s(literal -1/3 binary32) s) (*.f32 #s(literal 1/18 binary32) (*.f32 r r))) (*.f32 s s)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) s)) (/.f32 (fma.f32 r (*.f32 (*.f32 r r) #s(literal -1/162 binary32)) (*.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 r s)))) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s) (*.f32 r #s(literal -1/3 binary32))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) (*.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/162 binary32) (/.f32 #s(literal -1/18 binary32) s)) #s(literal 1/3 binary32)))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 s (PI.f32))))) r))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))) s)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 s (PI.f32))))) r))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (*.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)) (neg.f32 s))) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -1/972 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/972 binary32)) (*.f32 s (PI.f32)))) s)) s)) (neg.f32 s))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Outputs
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s) (*.f32 r #s(literal -1/3 binary32))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
Calls

3 calls:

53.0ms
s
39.0ms
r
34.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
11.9%1s
11.9%1r
11.9%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes124.0ms (0.8%)

Memory
26.8MiB live, 172.0MiB allocated
Counts
116 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) s)) (/.f32 (fma.f32 r (*.f32 (*.f32 r r) #s(literal -1/162 binary32)) (*.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 r s)))) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
Calls

3 calls:

48.0ms
s
39.0ms
r
30.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
11.7%1r
11.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.7%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes107.0ms (0.7%)

Memory
-5.9MiB live, 230.0MiB allocated
Counts
115 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) r))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/24 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/144 binary32)) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s) (*.f32 r #s(literal 1/3 binary32))) s))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (*.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s))) s))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* (/ r s) -1/3) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (/.f32 (fma.f32 s (fma.f32 r #s(literal -1/3 binary32) s) (*.f32 #s(literal 1/18 binary32) (*.f32 r r))) (*.f32 s s)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (- (* r 1/3) (/ (+ (* r (* r 1/18)) (* -1/162 (/ (* r (* r r)) s))) s)) s)) (/.f32 (fma.f32 r (*.f32 (*.f32 r r) #s(literal -1/162 binary32)) (*.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 r s)))) (*.f32 s (*.f32 s s))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s) (*.f32 r #s(literal 1/3 binary32))) s))) (*.f32 s (PI.f32))))) r))
Calls

3 calls:

37.0ms
s
34.0ms
r
28.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
11.7%1s
11.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.7%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes122.0ms (0.8%)

Memory
-14.3MiB live, 132.8MiB allocated
Counts
106 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 r s) #s(literal 4 binary32)))))
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(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) #s(approx (/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r) (*.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal 1/144 binary32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s)))
(fma.f32 (*.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (/.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) #s(literal 6 binary32)) (*.f32 s (PI.f32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (/.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (*.f32 s (PI.f32))) #s(literal 6 binary32)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (/.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (*.f32 (PI.f32) #s(literal 6 binary32))) s) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/24 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/144 binary32)) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (pow (E) (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
Calls

3 calls:

65.0ms
r
30.0ms
s
22.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
11.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.7%1r
11.7%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes116.0ms (0.7%)

Memory
10.8MiB live, 143.3MiB allocated
Counts
104 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) #s(approx (/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r) (*.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal 1/144 binary32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s)))
(fma.f32 (*.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (/.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) #s(literal 6 binary32)) (*.f32 s (PI.f32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (/.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (*.f32 s (PI.f32))) #s(literal 6 binary32)) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (/.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (*.f32 (PI.f32) #s(literal 6 binary32))) s) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/24 binary32)) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/144 binary32)) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
Calls

3 calls:

45.0ms
s
35.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
31.0ms
r
Results
AccuracySegmentsBranch
11.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.2%1s
11.2%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes62.0ms (0.4%)

Memory
-4.3MiB live, 51.9MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 r s) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal -1/6 binary32)) (PI.f32))) (*.f32 s s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (*.f32 s (*.f32 s s)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) r))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (neg.f32 (-.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -5/72 binary32) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
Calls

3 calls:

32.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
14.0ms
r
13.0ms
s
Results
AccuracySegmentsBranch
11.2%1r
11.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes57.0ms (0.4%)

Memory
16.9MiB live, 61.6MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 r s) #s(literal 4 binary32)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r)))
Calls

3 calls:

33.0ms
s
12.0ms
r
10.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.2%1r
10.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes58.0ms (0.4%)

Memory
2.3MiB live, 47.7MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 r s) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
Calls

3 calls:

37.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.0ms
r
9.0ms
s
Results
AccuracySegmentsBranch
10.2%1s
10.2%1r
10.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes33.0ms (0.2%)

Memory
-6.3MiB live, 39.6MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* r (/ -1/6 (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
Calls

3 calls:

16.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.0ms
r
8.0ms
s
Results
AccuracySegmentsBranch
10.2%1s
10.2%1r
10.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes36.0ms (0.2%)

Memory
-32.2MiB live, 26.7MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
Calls

3 calls:

22.0ms
r
7.0ms
s
6.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.1%1s
10.1%1r
10.1%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes17.0ms (0.1%)

Memory
25.0MiB live, 25.0MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
Calls

3 calls:

6.0ms
r
5.0ms
s
5.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.8%1s
9.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.8%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes16.0ms (0.1%)

Memory
-23.6MiB live, 22.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
Calls

3 calls:

8.0ms
s
4.0ms
r
4.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.8%1s
9.8%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes8.0ms (0%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
Calls

3 calls:

3.0ms
r
3.0ms
s
2.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.8%1s
9.8%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes6.0ms (0%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
Calls

3 calls:

2.0ms
s
2.0ms
r
2.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.8%1s
9.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.8%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes26.0ms (0.2%)

Memory
-33.6MiB live, 11.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
Calls

3 calls:

22.0ms
s
1.0ms
r
1.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.8%1s
9.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.8%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify17.0ms (0.1%)

Memory
35.5MiB live, 35.5MiB allocated
Algorithm
1×egg-herbie
Rules
64×*-commutative_binary32
34×+-commutative_binary32
12×sub-neg_binary32
10×neg-sub0_binary32
10×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01901006
12421006
22541006
32621006
42661006
52671006
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (/.f32 #s(literal 1/8 binary32) r)))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s) (*.f32 r #s(literal -1/3 binary32))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s) (*.f32 r #s(literal 1/3 binary32))) s))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
Outputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (/.f32 #s(literal 1/8 binary32) r)))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32))) s) (*.f32 r #s(literal -1/3 binary32))) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s) (*.f32 r #s(literal 1/3 binary32))) s))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s) (*.f32 r #s(literal 1/3 binary32))) s))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 r (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))

soundness1.7s (10.5%)

Memory
-0.6MiB live, 1 471.1MiB allocated
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
9 642×lower-fma.f64
9 642×lower-fma.f32
7 026×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359561788
082271755
095623
0159629
1588581
25537573
08058569
092477
0150465
1514438
24245438
08628434
086110923
1263110505
2763110435
0809810141
06418071
119817811
257147709
080977495
02590
04390
114279
2131271
0945671
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 720 to 321 computations (55.4% saved)

preprocess150.0ms (0.9%)

Memory
1.3MiB live, 184.5MiB allocated
Compiler

Compiled 890 to 302 computations (66.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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