Disney BSSRDF, PDF of scattering profile

Time bar (total: 16.5s)

analyze65.0ms (0.4%)

Memory
21.2MiB live, 137.1MiB 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)

sample2.3s (14.1%)

Memory
-157.5MiB live, 3 065.0MiB allocated
Samples
1.7s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-mult: 454.0ms (30.8% of total)
const: 395.0ms (26.8% of total)
ival-div: 226.0ms (15.4% of total)
ival-exp: 139.0ms (9.4% of total)
ival-add: 45.0ms (3.1% of total)
ival-<=: 44.0ms (3% of total)
ival-neg: 44.0ms (3% of total)
ival-pi: 38.0ms (2.6% of total)
ival-<: 33.0ms (2.2% of total)
exact: 28.0ms (1.9% of total)
ival-and: 23.0ms (1.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess479.0ms (2.9%)

Memory
-11.3MiB live, 304.2MiB 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)))))

explain299.0ms (1.8%)

Memory
27.4MiB live, 493.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.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))
17(8.650333782611597e-9 3.2838077004271327e-6)1(0.00010192384797846898 0.013200466521084309)(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
16(8.650333782611597e-9 3.2838077004271327e-6)1(3.6495623589871684e-7 2.9086204449413344e-5)(exp.f32 (/.f32 (neg.f32 r) 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-(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)
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) (*.f32 #s(literal 3 binary32) s)))sensitivity73
exp.f32(exp.f32 (/.f32 (neg.f32 r) s))sensitivity62
/.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))u/n10
↳(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))underflow227
↳(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))underflow227
Confusion
Predicted +Predicted -
+40
-6246
Precision
0.4
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+400
-62244
Precision?
0.3333333333333333
Recall?
1.0
Freqs
test
numberfreq
0246
17
22
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
81.0ms512×0valid
Compiler

Compiled 366 to 104 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 25.0ms (44.5% of total)
ival-div: 15.0ms (26.7% of total)
ival-exp: 7.0ms (12.4% of total)
ival-neg: 3.0ms (5.3% of total)
ival-pi: 2.0ms (3.6% of total)
ival-add: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶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 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)

simplify292.0ms (1.8%)

Memory
-25.6MiB live, 397.5MiB 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)

localize72.0ms (0.4%)

Memory
24.0MiB live, 181.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓accuracy99.3%
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
✓accuracy99.1%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
45.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 12.0ms (38% of total)
ival-div: 10.0ms (31.7% of total)
ival-exp: 6.0ms (19% of total)
ival-pi: 1.0ms (3.2% of total)
ival-add: 1.0ms (3.2% of total)
exact: 1.0ms (3.2% of total)
ival-neg: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.2%)

Memory
-8.8MiB live, 70.3MiB 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
6.0ms
r
@0
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
4.0ms
s
@-inf
(* (* 2 (PI)) s)
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
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
(* (* (* 2 (PI)) s) r)

simplify424.0ms (2.6%)

Memory
14.7MiB live, 725.2MiB 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)))

rewrite391.0ms (2.4%)

Memory
-19.6MiB live, 502.8MiB allocated
Algorithm
1×batch-egg-rewrite
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 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (*.f32 s #s(literal 6 binary32))) (PI.f32))
(/.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)))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (*.f32 (PI.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) (*.f32 s (PI.f32))) #s(literal 6 binary32))
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(*.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 (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(*.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 (*.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 #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 (*.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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r))
(*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (pow.f32 (/.f32 #s(literal 4/3 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (*.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)))))
(*.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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(*.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))
(*.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
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(*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r s)))
(*.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) (*.f32 r s)))
(*.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
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(*.f32 (pow.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1/2 binary32)))
(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))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.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))))
(/.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))) #s(literal -1 binary32))
(*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 r (neg.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))
(*.f32 (neg.f32 r) (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))
(*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(*.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))
(*.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)))
(*.f32 #s(literal -1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))
(*.f32 (*.f32 r s) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)) (neg.f32 r))
(*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (neg.f32 r) s))
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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))))
(/.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) #s(literal -1 binary32))
(*.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
27.8MiB live, 140.2MiB allocated
Compiler

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

prune115.0ms (0.7%)

Memory
-33.7MiB live, 251.7MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New67824702
Fresh000
Picked101
Done000
Total67924703
Accuracy
99.7%
Counts
703 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 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)))))
97.2%
(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) (*.f32 r s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
▶98.3%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
98.3%
(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)))))
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 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r #s(literal 6 binary32))) (*.f32 s (PI.f32))))
▶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 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.3%
(+.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 (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)))
10.1%
(+.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)) #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)))
10.1%
(+.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)) #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)))
▶9.4%
(+.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))))))
▶9.8%
(+.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)))))))
9.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)))
9.0%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (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)))
9.5%
(*.f32 (fma.f32 r (/.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s))))) (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.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))))))
99.4%
(*.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)))
7.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (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))
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 (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))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (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))
9.4%
#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 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
99.5%
#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 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
▶9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.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 (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))))))
8.9%
#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 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
99.4%
#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 (/.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 1 592 to 992 computations (37.7% saved)

simplify378.0ms (2.3%)

Memory
0.5MiB live, 524.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (PI.f32) (*.f32 r s))
✓cost-diff0
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
✓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 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 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 (/.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)))))))
✓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-diff320
(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)))
✓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 r (*.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
(*.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 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
✓cost-diff160
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Rules
12 230×lower-fma.f64
12 226×lower-fma.f32
4 300×lower-*.f64
4 264×lower-*.f32
3 630×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083760
0134765
1247726
2621684
32057665
44552665
55782665
67633665
08464658
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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.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 r (/.f32 #s(literal -1/3 binary32) s)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 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)
#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)
(+.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))))))
(/.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 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(*.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 (-.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)))))))
(/.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 (/.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))))))
(+.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)))))
(/.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 (/.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(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(/.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)
(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)))
(*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32))
(/.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
#s(literal 1/1296 binary32)
(*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))
(/.f32 r (PI.f32))
#s(literal -1/144 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
r
s
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 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)
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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r 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 (*.f32 s (*.f32 r (PI.f32))) (exp.f32 (/.f32 r s))))
(*.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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 r (PI.f32))))
(*.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)
#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 s (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 r (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 r (PI.f32)))
r
(*.f32 s (PI.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 r (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 r (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 s (*.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))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 r (PI.f32))) (exp.f32 (/.f32 r s))))
(*.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)
#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)))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 r (PI.f32)))
(*.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 (-.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)))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 r (PI.f32))) (exp.f32 (/.f32 r s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) s)) (*.f32 s 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 (*.f32 s (*.f32 r (PI.f32))) (exp.f32 (/.f32 r s))))
(*.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)
#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))))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) s)) (*.f32 s s))))
(+.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)))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) s)) (*.f32 s s)))
(/.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 (+.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) s)) (*.f32 s s))
(-.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 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) s))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(/.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 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal 1/1296 binary32) s) #s(literal -1/144 binary32))) s)
(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)))
(*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal 1/1296 binary32) s) #s(literal -1/144 binary32)))
(*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32))
(/.f32 (*.f32 r #s(literal 1/1296 binary32)) (*.f32 s (PI.f32)))
(/.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
#s(literal 1/1296 binary32)
(*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))
(/.f32 (*.f32 r #s(literal -1/144 binary32)) (PI.f32))
(/.f32 r (PI.f32))
#s(literal -1/144 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 r (PI.f32)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 r (PI.f32))))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 s (*.f32 r (PI.f32)))
(PI.f32)
(*.f32 r s)
r
s
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 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 s (*.f32 r (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32))))
#s(literal 1/8 binary32)

localize399.0ms (2.4%)

Memory
27.7MiB live, 377.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 r s))
✓accuracy98.7%
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
✓accuracy98.7%
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
✓accuracy98.7%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
✓accuracy98.7%
(/.f32 r (PI.f32))
✓accuracy98.7%
(+.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)))))
✓accuracy97.3%
(*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32))
✓accuracy9.9%
#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))))))
✓accuracy99.1%
(*.f32 r (*.f32 s (PI.f32)))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
✓accuracy98.9%
(*.f32 s (PI.f32))
✓accuracy9.2%
#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)))))
✓accuracy99.1%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
✓accuracy99.1%
(*.f32 r (*.f32 s (PI.f32)))
✓accuracy98.9%
(*.f32 s (PI.f32))
✓accuracy9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
✓accuracy99.3%
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
✓accuracy99.1%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
✓accuracy98.9%
(/.f32 #s(literal -1/3 binary32) s)
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
237.0ms256×0valid
Compiler

Compiled 678 to 70 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-mult: 89.0ms (42.8% of total)
ival-div: 58.0ms (27.9% of total)
exact: 28.0ms (13.5% of total)
const: 15.0ms (7.2% of total)
ival-exp: 9.0ms (4.3% of total)
ival-add: 5.0ms (2.4% of total)
ival-neg: 2.0ms (1% of total)
ival-pi: 1.0ms (0.5% of total)
ival-sub: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series111.0ms (0.7%)

Memory
-6.1MiB live, 70.6MiB allocated
Counts
25 → 552
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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) 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 #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 (/.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)))))) (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 r (*.f32 s (PI.f32)))))) #<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 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) (patch (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))) #<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 (/.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))))))) (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 (/.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))))))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (patch (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 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 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r 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 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) 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>) () ())
#s(alt #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))))) (patch #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))))) #<representation binary32>) () ())
#s(alt #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)))))) (patch #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)))))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (patch (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) #<representation binary32>) () ())
#s(alt (+.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))))) (patch (+.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))))) #<representation binary32>) () ())
#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<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 (+.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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)) (taylor -inf 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)) (taylor -inf 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)) (taylor -inf 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)) (taylor -inf 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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
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#s(alt (/ r (PI)) (taylor 0 r) (#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ r (PI)) (taylor 0 r) (#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ r (PI)) (taylor inf r) (#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ r (PI)) (taylor inf r) (#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ r (PI)) (taylor inf r) (#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ r (PI)) (taylor inf r) (#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ r (PI)) (taylor -inf r) (#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ r (PI)) (taylor -inf r) (#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ r (PI)) (taylor -inf r) (#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ r (PI)) (taylor -inf r) (#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())) ())
Calls

138 calls:

TimeVariablePointExpression
33.0ms
s
@inf
(exp (/ (neg r) s))
6.0ms
s
@-inf
(+ (/ (- (/ -1/24 (PI)) (/ (+ (* r (* (/ r (* s (PI))) 1/1296)) (* (/ r (PI)) -1/144)) s)) (* s s)) (/ 1/8 (* r (* s (PI)))))
1.0ms
r
@inf
(+ (/ (- (/ -1/24 (PI)) (/ (+ (* r (* (/ r (* s (PI))) 1/1296)) (* (/ r (PI)) -1/144)) s)) (* s s)) (/ 1/8 (* r (* s (PI)))))
1.0ms
r
@0
(+ (* r (* (/ r (* s (PI))) 1/1296)) (* (/ r (PI)) -1/144))
1.0ms
s
@0
(+ (* r (* (/ r (* s (PI))) 1/1296)) (* (/ r (PI)) -1/144))

simplify722.0ms (4.4%)

Memory
10.7MiB live, 596.7MiB allocated
Algorithm
1×egg-herbie
Rules
17 610×lower-fma.f64
17 610×lower-fma.f32
6 454×lower-*.f64
6 454×lower-*.f32
3 226×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04007413
112027151
233446902
086956750
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
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))))
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(/ (- (* 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)
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(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
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(* 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)))))
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(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
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(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
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(/ (- (+ (* 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))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* 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)))
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(* 2 (* s (PI)))
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(* 2 (* s (PI)))
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(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(* 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))))
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(* 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))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
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(/ (+ (* 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))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
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(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ r (* s (PI))))
(* 1/1296 (/ 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)
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (/ 1/144 (* r (* (pow s 3) (PI)))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (/ 1/24 (* (pow r 2) (* (pow s 2) (PI)))))))
(* (pow r 2) (- (+ (/ 1/144 (* r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (* 1/24 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))))) (pow s 4))
(/ 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))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (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)
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(/ (+ (* 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 r (/.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)))) 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 (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)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
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(/ (+ (* 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)
(/.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)
(/.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 (/ (+ (* -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 (/ (+ (* -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 (/ (+ (* -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 (/ (+ (* -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))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.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))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.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))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.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))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.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))))) 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)
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(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(* (pow r 2) (- (/ 1/144 (* r (* (pow s 3) (PI)))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (/ 1/24 (* (pow r 2) (* (pow s 2) (PI)))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) (*.f32 r (*.f32 r (*.f32 s s))))))))
(* (pow r 2) (- (+ (/ 1/144 (* r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (* 1/24 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 r (*.f32 r r))))) (+.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) (*.f32 r (*.f32 r (*.f32 s s)))))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) (*.f32 r (*.f32 r (*.f32 s s))))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 r r)))) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))))) r) (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 4))
(/.f32 (fma.f32 s (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32)) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))))) (pow s 4))
(/.f32 (fma.f32 r (*.f32 (/.f32 r (PI.f32)) #s(literal -1/1296 binary32)) (*.f32 (/.f32 s (PI.f32)) (fma.f32 r #s(literal 1/144 binary32) (*.f32 s #s(literal -1/24 binary32))))) (pow.f32 s #s(literal 4 binary32)))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))))) (pow s 4))
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/ 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 (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -1/1296 binary32) (/.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))
(+.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 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (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 (/ (- (* -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 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 r (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))) s)) s)) s)
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))

rewrite603.0ms (3.7%)

Memory
-5.7MiB live, 636.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 010×lower-*.f64
4 974×lower-*.f32
4 790×lower-fma.f64
4 786×lower-fma.f32
3 702×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083445
0134450
1481415
24716415
09245407
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 878
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 r (/.f32 #s(literal -1/3 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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.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 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 (/.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))))))
(exp.f32 (/.f32 (neg.f32 r) s))
(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)))
(+.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 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 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 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(/.f32 #s(literal -1/3 binary32) s)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 #s(literal 6 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)))))
#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))))))
(*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32))
(+.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)))))
(/.f32 r (PI.f32))
Outputs
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 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 (*.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 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
(pow.f32 (/.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 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32))) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s)))) (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))))) (fma.f32 (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (PI.f32) (*.f32 r s)))) (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (PI.f32) (*.f32 r s)))) (exp.f32 (*.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))) #s(literal 3 binary32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 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 (*.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s)))) (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s))))) (*.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s)))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 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 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s)))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (fma.f32 (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (PI.f32) (*.f32 r s)))) (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (PI.f32) (*.f32 r s)))) (exp.f32 (*.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))) #s(literal 3 binary32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32))) (*.f32 (PI.f32) (*.f32 r s))) (fma.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s)))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (neg.f32 (*.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s)))) (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (*.f32 r (*.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)))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (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)))))
(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 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 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 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (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 (fma.f32 #s(literal 1 binary32) (*.f32 r s) (*.f32 (*.f32 (/.f32 (*.f32 s s) (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32))))))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 (/.f32 (*.f32 s s) (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32))))))) (*.f32 s (PI.f32))) (*.f32 r s)))
(/.f32 (fma.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s))) (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (neg.f32 (*.f32 s s)) #s(literal 1/8 binary32))) (*.f32 (neg.f32 (*.f32 s s)) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 (fma.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32)) (*.f32 (neg.f32 (*.f32 s s)) #s(literal 1 binary32))) (*.f32 (neg.f32 (*.f32 s s)) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
(/.f32 (fma.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s))) (neg.f32 (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (neg.f32 (*.f32 s s)) #s(literal -1/8 binary32))) (*.f32 (neg.f32 (*.f32 s s)) (neg.f32 (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 (fma.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s))) (*.f32 s (PI.f32)) (*.f32 (neg.f32 (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) r))) (*.f32 (neg.f32 (*.f32 s s)) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s))) (*.f32 r s) (*.f32 (neg.f32 (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (neg.f32 (*.f32 s s)) (*.f32 r s)))
(/.f32 (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (PI.f32) (*.f32 r s)) (*.f32 s #s(literal 1/8 binary32))) (*.f32 s (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32)) (*.f32 s #s(literal 1 binary32))) (*.f32 s (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
(/.f32 (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 s (*.f32 s (PI.f32)))) (neg.f32 (*.f32 (PI.f32) (*.f32 r s))) (*.f32 s #s(literal -1/8 binary32))) (*.f32 s (neg.f32 (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (PI.f32)) (*.f32 s (/.f32 #s(literal 1/8 binary32) r))) (*.f32 s (*.f32 s (PI.f32))))
(/.f32 (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 r s) (*.f32 s (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 s (*.f32 r s)))
(/.f32 (neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 (PI.f32) (*.f32 r s)) (*.f32 s (*.f32 s #s(literal 1/8 binary32))))) (neg.f32 (*.f32 s (*.f32 s (*.f32 (PI.f32) (*.f32 r s))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))) #s(literal 3 binary32)) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (PI.f32) (*.f32 r s)))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s))) (*.f32 (*.f32 s s) (*.f32 s s))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s)))))) (neg.f32 (-.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))))
(/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s)))) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s))) (*.f32 (*.f32 s s) (*.f32 s s)))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))
(/.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 (PI.f32) (*.f32 r s)) (*.f32 s (*.f32 s #s(literal 1/8 binary32)))) (*.f32 s s)) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 (PI.f32) (*.f32 r s)) (*.f32 s (*.f32 s #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s (*.f32 (PI.f32) (*.f32 r s))))))
(*.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))) #s(literal 3 binary32)) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (PI.f32) (*.f32 r s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(*.f32 (-.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s))) (*.f32 (*.f32 s s) (*.f32 s s))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))))
(neg.f32 (/.f32 r (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (neg.f32 r) (PI.f32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) r)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (PI.f32) r) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (PI.f32) r) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (PI.f32))) (/.f32 r (neg.f32 (PI.f32))))
(/.f32 r (PI.f32))
(/.f32 r (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 r) (neg.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) r))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) r) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) r)))
(/.f32 (*.f32 r #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 r #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 r (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 r (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (neg.f32 r) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 #s(literal 1 binary32) (/.f32 r (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r)
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) r) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 r (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (/.f32 (cbrt.f32 (PI.f32)) r) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) r) #s(literal -1 binary32)))

eval371.0ms (2.2%)

Memory
31.1MiB live, 422.1MiB allocated
Compiler

Compiled 78 232 to 3 096 computations (96% saved)

prune407.0ms (2.5%)

Memory
-34.4MiB live, 895.3MiB allocated
Pruning

48 alts after pruning (46 fresh and 2 done)

PrunedKeptTotal
New1 978382 016
Fresh11819
Picked325
Done000
Total1 992482 040
Accuracy
99.8%
Counts
2 040 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.3%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
98.3%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
9.4%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
▶9.8%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
98.3%
(fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 6 binary32))) #s(literal -1 binary32))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.6%
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
▶99.6%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.4%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.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))))))
99.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) r)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) 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 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r #s(literal 6 binary32))) (*.f32 s (PI.f32))))
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 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))))
9.8%
(+.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 (fma.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 r s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 r s)))))
8.7%
(+.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 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
10.1%
(+.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)) #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 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
9.4%
(+.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 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
9.4%
(+.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 r (PI.f32)) s))))
9.4%
(+.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 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
10.1%
(+.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)) #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 #s(approx (+ (* r (* (/ r (* s (PI))) 1/1296)) (* (/ r (PI)) -1/144)) (*.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)))))))
8.0%
(+.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 (/.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)))))))
8.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (/.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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
9.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.8%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
7.6%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
99.4%
(*.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)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (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))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (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))
9.0%
#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) r) (PI.f32)) s))
9.0%
#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) r) s) (PI.f32)))
9.0%
#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 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
9.0%
#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 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
9.0%
#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 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
9.0%
#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 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
9.0%
#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 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
9.4%
#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 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (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 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
99.5%
#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 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
99.5%
#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 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
▶9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.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 (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))))))
▶8.9%
#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 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
9.0%
#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 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
▶9.0%
#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 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
9.0%
#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 #s(literal 1 binary32) (*.f32 r s)) (pow.f32 (/.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32))))
Compiler

Compiled 2 497 to 1 577 computations (36.8% saved)

simplify280.0ms (1.7%)

Memory
23.0MiB live, 544.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
✓cost-diff0
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
✓cost-diff320
(fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32))))
✓cost-diff576
(*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 r (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 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
✓cost-diff352
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32)))
✓cost-diff3232
(pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))
✓cost-diff0
(*.f32 r (*.f32 s (PI.f32)))
✓cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
✓cost-diff0
(+.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)))))
✓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 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
✓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 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32))
✓cost-diff64
(/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s)))
✓cost-diff160
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
✓cost-diff768
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Rules
12 478×lower-fma.f64
12 472×lower-fma.f32
4 978×lower-*.f64
4 940×lower-*.f32
2 658×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081667
0129659
1261627
2677588
32192563
45986533
08238526
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
s
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.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 r (/.f32 #s(literal -1/3 binary32) s)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 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)
#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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(+.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)))))
(/.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)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.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) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))
#s(literal 1 binary32)
(*.f32 r (PI.f32))
r
(PI.f32)
(pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))
(/.f32 s #s(literal 1/4 binary32))
s
#s(literal 1/4 binary32)
#s(literal -1 binary32)
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
r
s
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))
(fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32))))))
#s(literal -1/24 binary32)
(*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))
(neg.f32 (PI.f32))
(fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32))))
(/.f32 #s(literal -1/144 binary32) (PI.f32))
#s(literal -1/144 binary32)
(/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))
(*.f32 r (*.f32 r #s(literal 1/1296 binary32)))
(*.f32 r #s(literal 1/1296 binary32))
#s(literal 1/1296 binary32)
(*.f32 s (PI.f32))
(*.f32 (*.f32 s s) (*.f32 s (PI.f32)))
(*.f32 s s)
Outputs
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 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 #s(literal -3 binary32))))))
(/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #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))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
r
(neg.f32 s)
s
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (PI.f32)))
(PI.f32)
(*.f32 r s)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
#s(literal 3/4 binary32)
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 r (*.f32 s (*.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)
#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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(+.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)))))
(/.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)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.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) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 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 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))
#s(literal 1 binary32)
(*.f32 r (PI.f32))
r
(PI.f32)
(pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 s #s(literal 1/4 binary32))
s
#s(literal 1/4 binary32)
#s(literal -1 binary32)
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(+.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 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32)) (*.f32 s #s(literal -1/24 binary32))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(/.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)))
(PI.f32)
(*.f32 r s)
r
s
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))
#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 (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32)) (*.f32 s #s(literal -1/24 binary32))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32)) (*.f32 s #s(literal -1/24 binary32))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32)) (*.f32 s #s(literal -1/24 binary32))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32))))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32)) (*.f32 s #s(literal -1/24 binary32)))
#s(literal -1/24 binary32)
(*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))
(*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32)))
(neg.f32 (PI.f32))
(fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32))))
(*.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 1/1296 binary32) (/.f32 r s) #s(literal -1/144 binary32)))
(/.f32 #s(literal -1/144 binary32) (PI.f32))
#s(literal -1/144 binary32)
(/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))
(*.f32 r (*.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 s (PI.f32)))))
(*.f32 r (*.f32 r #s(literal 1/1296 binary32)))
(*.f32 r #s(literal 1/1296 binary32))
#s(literal 1/1296 binary32)
(*.f32 s (PI.f32))
(*.f32 (*.f32 s s) (*.f32 s (PI.f32)))
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s s)

localize330.0ms (2%)

Memory
-24.7MiB live, 499.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 r s))
✓accuracy98.7%
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))
✓accuracy9.9%
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))
✓accuracy99.0%
(*.f32 r (PI.f32))
✓accuracy98.8%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32)))
✓accuracy9.0%
#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 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
✓accuracy99.1%
(*.f32 r (*.f32 s (PI.f32)))
✓accuracy98.9%
(*.f32 s (PI.f32))
✓accuracy98.6%
(+.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)))))
✓accuracy9.0%
#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 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
✓accuracy100.0%
(PI.f32)
✓accuracy99.1%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
✓accuracy98.7%
(*.f32 (*.f32 r s) (PI.f32))
✓accuracy9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
✓accuracy99.3%
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
✓accuracy99.3%
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
✓accuracy98.9%
(/.f32 #s(literal -1/3 binary32) s)
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 r s))
Samples
233.0ms256×0valid
Compiler

Compiled 568 to 78 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-mult: 72.0ms (47.5% of total)
ival-div: 39.0ms (25.7% of total)
const: 18.0ms (11.9% of total)
ival-add: 7.0ms (4.6% of total)
ival-exp: 7.0ms (4.6% of total)
ival-neg: 3.0ms (2% of total)
ival-pow: 3.0ms (2% 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)

series45.0ms (0.3%)

Memory
7.6MiB live, 87.8MiB allocated
Counts
29 → 612
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (patch (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (patch (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))) #<representation binary32>) () ())
#s(alt (+.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))))) (patch (+.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))))) #<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 (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32)) (patch (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 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 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32)))) (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 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (patch (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32))))) (patch (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) (patch (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))) (patch (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))) #<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 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<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>) () ())
#s(alt (*.f32 r (/.f32 #s(literal -1/3 binary32) s)) (patch (*.f32 r (/.f32 #s(literal -1/3 binary32) s)) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 r (PI.f32)) (patch (*.f32 r (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))) (patch #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 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 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 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 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<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 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
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#s(alt (/ 1/8 (* r (* s (PI)))) (taylor -inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
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Calls

153 calls:

TimeVariablePointExpression
4.0ms
s
@0
(/ 1/8 (* (PI) (* r s)))
1.0ms
r
@0
(+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI)))))
1.0ms
s
@0
(+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI)))))
0.0ms
r
@0
(* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI)))))
0.0ms
r
@inf
(* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI)))))

simplify453.0ms (2.7%)

Memory
28.2MiB live, 651.5MiB allocated
Algorithm
1×egg-herbie
Rules
18 480×lower-fma.f64
18 480×lower-fma.f32
6 430×lower-*.f64
6 430×lower-*.f32
3 170×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03837267
111477023
231776792
084466656
Stop Event
1×iter limit
1×node limit
Counts
612 → 612
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))))
(/ (+ (* -1/24 (/ 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)))))
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(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(* 1/1296 (/ (pow r 2) (* s (PI))))
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(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(* 1/1296 (/ (pow r 2) (* s (PI))))
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(* -1/144 (/ r (PI)))
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(+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI)))))
(+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI)))))
(* -1/144 (/ r (PI)))
(+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI)))))
(+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI)))))
(+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI)))))
(/ 1/4 (* r (* s (PI))))
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(/ (+ (* 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)
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(/ 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 (* 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))))
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(/ 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))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
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(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(* 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))))
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(* -1/3 (/ r s))
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(* -1/3 (/ r s))
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(* -1/3 (/ r s))
(* -1/3 (/ r s))
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(* -1/3 (/ r s))
(* -1/3 (/ r s))
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(* -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))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
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(* r (PI))
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(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (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))))
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(/ (- (+ (* 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))))
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(* -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))))
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(/ (+ (* 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)
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (/ 1/144 (* r (* (pow s 3) (PI)))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (/ 1/24 (* (pow r 2) (* (pow s 2) (PI)))))))
(* (pow r 2) (- (+ (/ 1/144 (* r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (* 1/24 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))))) (pow s 4))
(/ 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))
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)
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(/ (+ (* 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 r (/.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)
(/ (+ (* 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 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
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(/ (+ (* 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 (/.f32 r (neg.f32 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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(* -1 (/ (+ (* -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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -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 (/.f32 r (neg.f32 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))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ 1/4 (* r (* s (PI))))
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(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) 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)
(/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (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 #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))
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(/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (+.f32 (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r (*.f32 s (*.f32 s (PI.f32))))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 r r)))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))))) r) (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 4))
(/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal 1/144 binary32)) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))))) (pow s 4))
(/.f32 (fma.f32 (/.f32 s (PI.f32)) (fma.f32 r #s(literal 1/144 binary32) (*.f32 s #s(literal -1/24 binary32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))))) (pow s 4))
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/ 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 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 (*.f32 r r) (/.f32 #s(literal -1/1296 binary32) (*.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))
(+.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 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (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 (/ (- (* -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 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 r (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))) s)) s)) s)

rewrite425.0ms (2.6%)

Memory
15.6MiB live, 568.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 826×lower-*.f64
5 788×lower-*.f32
3 444×lower-fma.f64
3 438×lower-fma.f32
2 890×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081486
0129478
1509440
25388440
08533426
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 900
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(+.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)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 r (*.f32 s (PI.f32)))
(pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 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 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))
(fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (PI.f32) (*.f32 r s))
(/.f32 #s(literal -1/3 binary32) s)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(PI.f32)
(*.f32 s (PI.f32))
(*.f32 r (PI.f32))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))
Outputs
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(+.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(pow.f32 (/.f32 (*.f32 (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))) (*.f32 #s(literal 2 binary32) (*.f32 r (*.f32 s (PI.f32))))) (fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))) (fma.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))) (-.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)))) (*.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32))))) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))))) (fma.f32 (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 r r) r) (*.f32 s (*.f32 s s))))) (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (pow.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (*.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 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))) r) (-.f32 (*.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32))))) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s)))) (pow.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 r (*.f32 s (PI.f32)))))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 2 binary32) (*.f32 r (*.f32 s (PI.f32))))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32))))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 2 binary32) (*.f32 r (*.f32 s (PI.f32))))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 r (*.f32 s (PI.f32))))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal -1/8 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 r (*.f32 s (PI.f32))))) (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))))
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(/.f32 (fma.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (neg.f32 (*.f32 r (*.f32 s (PI.f32)))) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32))) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (neg.f32 (*.f32 r (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 r s) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 r s)))
(/.f32 (fma.f32 (neg.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32))))))) (*.f32 r (*.f32 s (PI.f32))) (*.f32 (*.f32 (neg.f32 s) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/8 binary32))) (*.f32 (*.f32 (neg.f32 s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (neg.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32))))))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (*.f32 (neg.f32 s) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
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(/.f32 (fma.f32 (neg.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32))))))) (*.f32 r s) (*.f32 (*.f32 (neg.f32 s) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 (neg.f32 s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 r s)))
(/.f32 (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s s)) (*.f32 r (*.f32 s (PI.f32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 1/8 binary32))) (*.f32 (*.f32 s (PI.f32)) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s s)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (*.f32 s (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 s (PI.f32)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(/.f32 (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s s)) (neg.f32 (*.f32 r (*.f32 s (PI.f32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal -1/8 binary32))) (*.f32 (*.f32 s (PI.f32)) (neg.f32 (*.f32 r (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s s)) (*.f32 r s) (*.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s (PI.f32)) (*.f32 r s)))
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(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 r r) r) (*.f32 s (*.f32 s s))))) (pow.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (-.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32))))))))
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(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32))))))) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32)))))) (-.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(/.f32 (/.f32 (fma.f32 (*.f32 r (*.f32 s (PI.f32))) (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 s s))) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (fma.f32 (*.f32 r (*.f32 s (PI.f32))) (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 s s))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 r r) r) (*.f32 s (*.f32 s s))))) (pow.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (-.f32 (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32))))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (*.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32))))))) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))

eval280.0ms (1.7%)

Memory
-0.5MiB live, 459.9MiB allocated
Compiler

Compiled 74 216 to 4 597 computations (93.8% saved)

prune483.0ms (2.9%)

Memory
-3.0MiB live, 994.5MiB allocated
Pruning

69 alts after pruning (66 fresh and 3 done)

PrunedKeptTotal
New2 064372 101
Fresh122941
Picked415
Done022
Total2 080692 149
Accuracy
99.8%
Counts
2 149 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.3%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
98.3%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
10.1%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
9.8%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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))) (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 r (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))) s)) s)) s)))
98.3%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))))
9.4%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.4%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 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))))))
▶9.8%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
9.8%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/1296 binary32) #s(literal 1/144 binary32))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
10.1%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
9.7%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s)) #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 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
98.3%
(fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 6 binary32))) #s(literal -1 binary32))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.6%
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
99.3%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 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)))) s) r)))
99.4%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (exp.f32 (log.f32 (PI.f32)))) s) r)))
▶99.6%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))))
99.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) r)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) 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 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r #s(literal 6 binary32))) (*.f32 s (PI.f32))))
9.8%
(+.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 (fma.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 r s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 r s)))))
8.7%
(+.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 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.4%
(+.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 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
9.4%
(+.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 r (PI.f32)) s))))
9.4%
(+.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 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
8.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (/.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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
9.8%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
7.6%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
99.4%
(*.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)))
9.8%
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 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)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
99.5%
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
99.5%
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32))))
9.0%
#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 s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.0%
#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) s) (PI.f32)) r))
9.0%
#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) r) (PI.f32)) s))
9.0%
#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) r) s) (PI.f32)))
9.0%
#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 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
9.0%
#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 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
9.0%
#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 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
9.0%
#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 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
9.0%
#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 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
9.0%
#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 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
9.4%
#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 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
▶9.0%
#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 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (PI.f32)) (/.f32 #s(literal 1/4 binary32) s))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
▶9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
✓9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.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 (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))))))
8.9%
#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 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r s) (*.f32 (PI.f32) (*.f32 s (*.f32 s (PI.f32))))))))
9.0%
#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 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) r))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
9.0%
#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 #s(literal 1 binary32) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
9.0%
#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 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
8.8%
#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))) (pow.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) #s(literal -1/2 binary32))))
9.0%
#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 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
9.0%
#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 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
9.0%
#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 #s(literal 1 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32))))
9.0%
#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 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
9.0%
#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 (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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))))
Compiler

Compiled 3 253 to 2 052 computations (36.9% saved)

simplify507.0ms (3.1%)

Memory
-135.0MiB live, 359.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (PI.f32) (*.f32 r s))
✓cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
✓cost-diff0
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
✓cost-diff416
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s)))
✓cost-diff0
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
✓cost-diff0
(/.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))
✓cost-diff0
(+.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)))))
✓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 #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))))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) 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 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)))
✓cost-diff192
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
✓cost-diff352
(*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s))
✓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
(exp.f32 (/.f32 r (neg.f32 s)))
✓cost-diff0
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32))
✓cost-diff64
(/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s)))
✓cost-diff64
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))))
Rules
5 314×lower-*.f64
5 280×lower-*.f32
4 994×lower-fma.f64
4 988×lower-fma.f32
2 126×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094797
0145800
1296763
2708727
31989707
45543660
57095660
08151647
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))))
(/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
s
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))
(*.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 r (/.f32 #s(literal -1/3 binary32) s)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
#s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))
(*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))
(*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))
(*.f32 r #s(literal 6 binary32))
#s(literal 6 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 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1 binary32) r)
#s(literal 1 binary32)
r
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
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 #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))))))
(+.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)))))
(/.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))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
#s(literal 5/72 binary32)
(/.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
r
s
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))
(fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s)))))
#s(literal -1/24 binary32)
#s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s)))
(*.f32 r r)
(+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))
(/.f32 #s(literal 1/144 binary32) r)
#s(literal 1/144 binary32)
(/.f32 #s(literal -1/1296 binary32) s)
#s(literal -1/1296 binary32)
(*.f32 (*.f32 s s) (*.f32 s (PI.f32)))
(*.f32 s s)
(*.f32 s (PI.f32))
Outputs
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))))
(fma.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal 3/4 binary32) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 r (PI.f32))) (exp.f32 (/.f32 r s)))))
(/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 r (PI.f32))) (exp.f32 (/.f32 r s))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
r
(neg.f32 s)
s
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 s (*.f32 r (PI.f32)))
(PI.f32)
(*.f32 r s)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))
#s(literal 3/4 binary32)
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
#s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))
#s(approx (* (* (* 6 (PI)) s) r) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))
(*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 r #s(literal 6 binary32))
#s(literal 6 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 s (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 r (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 s (*.f32 r (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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 s (*.f32 r (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
(/.f32 #s(literal 1 binary32) r)
#s(literal 1 binary32)
r
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
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 #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 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 r (PI.f32))))))
(+.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)))))
(+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 r (PI.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 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
#s(literal 5/72 binary32)
(/.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 r (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 r (PI.f32)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 r (PI.f32))) (exp.f32 (/.f32 r s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 s (*.f32 r (PI.f32)))
(PI.f32)
(*.f32 r s)
r
s
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s)))))
(fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32)))))
#s(literal -1/24 binary32)
#s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))
#s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s)))
(*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32)))
(*.f32 r r)
(+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))
(/.f32 #s(literal 1/144 binary32) r)
#s(literal 1/144 binary32)
(/.f32 #s(literal -1/1296 binary32) s)
#s(literal -1/1296 binary32)
(*.f32 (*.f32 s s) (*.f32 s (PI.f32)))
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s s)
(*.f32 s (PI.f32))

localize317.0ms (1.9%)

Memory
13.4MiB live, 491.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s)))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 r s))
✓accuracy98.7%
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))
✓accuracy9.9%
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))
✓accuracy99.1%
(*.f32 r (*.f32 s (PI.f32)))
✓accuracy98.9%
(*.f32 s (PI.f32))
✓accuracy98.1%
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
✓accuracy9.9%
#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 (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))))))
✓accuracy100.0%
(PI.f32)
✓accuracy98.9%
(*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s))
✓accuracy98.5%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
✓accuracy9.0%
#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 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)))
✓accuracy99.2%
(*.f32 (*.f32 r (PI.f32)) s)
✓accuracy99.1%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
✓accuracy99.0%
(*.f32 r (PI.f32))
✓accuracy9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
✓accuracy99.2%
(*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))
✓accuracy98.9%
(/.f32 #s(literal -1/3 binary32) s)
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 r s))
Samples
202.0ms256×0valid
Compiler

Compiled 593 to 91 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 67.0ms (39.5% of total)
const: 42.0ms (24.7% of total)
ival-div: 34.0ms (20% of total)
ival-exp: 11.0ms (6.5% of total)
ival-add: 9.0ms (5.3% of total)
ival-neg: 5.0ms (2.9% 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)

series46.0ms (0.3%)

Memory
21.4MiB live, 59.1MiB allocated
Counts
28 → 588
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (patch (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (patch (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 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 #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 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (patch (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) (patch (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) 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 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) r) (patch (/.f32 #s(literal 1 binary32) 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 (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)))))) (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 #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)))))) #<representation binary32>) () ())
#s(alt (+.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))))) (patch (+.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))))) #<representation binary32>) () ())
#s(alt (/.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)) (patch (/.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)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (patch (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))) (patch (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))) (patch (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))) #<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 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))) (patch (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())
#s(alt (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))) (patch (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<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 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))) (patch #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<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 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<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 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<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 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)) (taylor -inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)) (taylor -inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)) (taylor -inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)) (taylor -inf r) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor inf s) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s) (taylor inf s) (#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))))) #<representation binary32>) () ())) ())
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#s(alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s) (taylor inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -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) (taylor inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ 1/8 (* r (* s (PI)))) (taylor -inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s)) (taylor -inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s)) (taylor -inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* -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)) (taylor -inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))) #<representation binary32>) () ())) ())
Calls

147 calls:

TimeVariablePointExpression
5.0ms
r
@inf
(* r (* s (PI)))
1.0ms
r
@-inf
(+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI)))))
1.0ms
s
@0
(* (* r r) (+ (/ 1/144 r) (/ -1/1296 s)))
1.0ms
r
@0
(* (* r r) (+ (/ 1/144 r) (/ -1/1296 s)))
1.0ms
s
@inf
(* (/ 1 r) (/ 1/4 s))

simplify655.0ms (4%)

Memory
-4.0MiB live, 813.4MiB allocated
Algorithm
1×egg-herbie
Rules
21 438×lower-fma.f64
21 438×lower-fma.f32
6 552×lower-*.f64
6 552×lower-*.f32
3 082×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04517324
113496952
237506788
085326618
Stop Event
1×iter limit
1×node limit
Counts
588 → 588
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
(+ 1/8 (* -1/8 (/ r s)))
(+ 1/8 (* r (- (* 1/16 (/ r (pow s 2))) (* 1/8 (/ 1 s)))))
(+ 1/8 (* r (- (* r (+ (* -1/48 (/ r (pow s 3))) (* 1/16 (/ 1 (pow s 2))))) (* 1/8 (/ 1 s)))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
(* 1/8 (exp (* -1 (/ r s))))
1/8
(+ 1/8 (* -1/8 (/ r s)))
(+ 1/8 (+ (* -1/8 (/ r s)) (* 1/16 (/ (pow r 2) (pow s 2)))))
(+ 1/8 (+ (* -1/8 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (* 1/16 (/ (pow r 2) (pow s 2))))))
1/8
(+ 1/8 (* -1/8 (/ r s)))
(+ 1/8 (* -1 (/ (+ (* -1/16 (/ (pow r 2) s)) (* 1/8 r)) s)))
(+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) s)) (* 1/16 (pow r 2))) s)) (* 1/8 r)) s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) 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)))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
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(/ (+ (* -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 (- (* 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)
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (/ 1/144 (* r (* (pow s 3) (PI)))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (/ 1/24 (* (pow r 2) (* (pow s 2) (PI)))))))
(* (pow r 2) (- (+ (/ 1/144 (* r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (* 1/24 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))))) (pow s 4))
(/ 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))
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 (/.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 #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 (/ 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 (/.f32 r (neg.f32 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)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 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)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 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)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -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 (/.f32 r (neg.f32 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))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.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)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) 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)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) 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)
(/.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 r (*.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32)) (/.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))
(+.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 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) 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)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) 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))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 7/324 binary32)) s)) s)) s)) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 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)))) (* 1/8 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* 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 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) 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)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (fma.f32 r (*.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/48 binary32)) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32)))))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (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 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) 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))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (PI.f32)) (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))))) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)
1/8
#s(literal 1/8 binary32)
(+ 1/8 (* -1/8 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/8 binary32) #s(literal 1/8 binary32))
(+ 1/8 (* r (- (* 1/16 (/ r (pow s 2))) (* 1/8 (/ 1 s)))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) s)) #s(literal 1/8 binary32))
(+ 1/8 (* r (- (* r (+ (* -1/48 (/ r (pow s 3))) (* 1/16 (/ 1 (pow s 2))))) (* 1/8 (/ 1 s)))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/48 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (/.f32 #s(literal -1/8 binary32) s)) #s(literal 1/8 binary32))
(* 1/8 (exp (* -1 (/ r s))))
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(* 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)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 binary32))) (*.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) #s(literal -1/3 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 (/ 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 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.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 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 (*.f32 r r) (/.f32 #s(literal -1/1296 binary32) (*.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))
(+.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 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (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 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (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))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(* (pow r 2) (- (/ 1/144 (* r (* (pow s 3) (PI)))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (/ 1/24 (* (pow r 2) (* (pow s 2) (PI)))))))
(*.f32 (*.f32 r r) (+.f32 (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r (*.f32 s (*.f32 s (PI.f32))))))))
(* (pow r 2) (- (+ (/ 1/144 (* r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (* 1/24 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 r (*.f32 r (*.f32 s (PI.f32)))))) (+.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r (*.f32 s (*.f32 s (PI.f32))))))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (+.f32 (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r (*.f32 s (*.f32 s (PI.f32))))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (*.f32 r r) (-.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (+.f32 (/.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))))) (*.f32 r r)) (/.f32 #s(literal -1/144 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 4))
(/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal 1/144 binary32)) (/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))))) (pow s 4))
(/.f32 (fma.f32 (/.f32 s (PI.f32)) (fma.f32 r #s(literal 1/144 binary32) (*.f32 s #s(literal -1/24 binary32))) (/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))))) (pow s 4))
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (/.f32 (*.f32 r (*.f32 r #s(literal -1/1296 binary32))) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
(/ 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 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.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 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 (*.f32 r r) (/.f32 #s(literal -1/1296 binary32) (*.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))
(+.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 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (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 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)

rewrite516.0ms (3.1%)

Memory
13.1MiB live, 722.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 190×lower-*.f64
5 156×lower-*.f32
3 668×lower-/.f64
3 638×lower-/.f32
3 546×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094526
0145520
1590487
26147487
08122478
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 752
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))))
(/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32))
(exp.f32 (/.f32 r (neg.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 (*.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 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) 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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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 (/.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))))))
(+.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)))))
(/.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))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))
(/.f32 #s(literal -1/3 binary32) s)
(*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))
(PI.f32)
(*.f32 s (PI.f32))
(*.f32 r (*.f32 s (PI.f32)))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))
Outputs
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(+.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(pow.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32))) (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) (-.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)))) (pow.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (exp.f32 (/.f32 r (neg.f32 s)))) #s(literal -2 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32)))))) (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) (pow.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal -3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))) (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (exp.f32 (/.f32 r (neg.f32 s)))) #s(literal -2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(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 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (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 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (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 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(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 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32))))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(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 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32))))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(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 s (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/8 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (neg.f32 (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(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 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(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 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) (*.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 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 r s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (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 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 #s(literal 1/4 binary32) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (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 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32)))))
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eval193.0ms (1.2%)

Memory
29.3MiB live, 426.8MiB allocated
Compiler

Compiled 58 539 to 3 282 computations (94.4% saved)

prune557.0ms (3.4%)

Memory
-27.0MiB live, 984.7MiB allocated
Pruning

84 alts after pruning (78 fresh and 6 done)

PrunedKeptTotal
New1 731201 751
Fresh35861
Picked235
Done033
Total1 736841 820
Accuracy
99.8%
Counts
1 820 → 84
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.3%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
98.3%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
10.1%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
9.8%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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))) (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 r (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))) s)) s)) s)))
98.3%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))))
9.4%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.4%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 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))))))
✓9.8%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
9.8%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/1296 binary32) #s(literal 1/144 binary32))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
10.1%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
9.4%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 r (/.f32 (fma.f32 (*.f32 r r) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) s)) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
7.6%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
9.7%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))))))
98.3%
(fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 6 binary32))) #s(literal -1 binary32))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.6%
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
99.3%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 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)))) s) r)))
99.4%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (exp.f32 (log.f32 (PI.f32)))) s) r)))
99.6%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 r #s(literal 6 binary32)))))))
✓99.6%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))))
99.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) r)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) 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 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r #s(literal 6 binary32))) (*.f32 s (PI.f32))))
9.8%
(+.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 (fma.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 r s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 r s)))))
8.7%
(+.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 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.4%
(+.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 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
9.4%
(+.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 r (PI.f32)) s))))
9.4%
(+.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 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
8.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (/.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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
9.8%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
99.4%
(*.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)))
9.8%
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 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)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
99.5%
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
99.5%
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s) (/.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))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.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 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (*.f32 s (PI.f32)) (*.f32 s (/.f32 #s(literal 1/4 binary32) r))) (*.f32 s (*.f32 s (PI.f32)))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32))))
9.0%
#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 s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.0%
#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) s) (PI.f32)) r))
9.0%
#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) s) r) (PI.f32)))
9.0%
#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) r) (PI.f32)) s))
9.0%
#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) r) s) (PI.f32)))
9.0%
#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 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) r))) (PI.f32)))
9.0%
#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 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) s))) (PI.f32)))
9.0%
#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 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
9.0%
#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 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
9.0%
#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 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
9.0%
#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 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
9.0%
#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 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
9.0%
#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 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
9.4%
#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 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
9.0%
#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 (pow.f32 (*.f32 r r) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)))
9.0%
#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) r) (/.f32 #s(literal 1 binary32) (PI.f32))) s))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (PI.f32)) (/.f32 #s(literal 1/4 binary32) s))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
✓9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓9.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.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 (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 (*.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 (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 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
8.9%
#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 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r s) (*.f32 (PI.f32) (*.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 (fma.f32 s (*.f32 s #s(literal 1/4 binary32)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 s (*.f32 s s))) r))))
9.0%
#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 binary32) r) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (sqrt.f32 (PI.f32)))))
9.0%
#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 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) r))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
9.0%
#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 #s(literal 1 binary32) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
9.0%
#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 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
8.8%
#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))) (pow.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) #s(literal -1/2 binary32))))
9.0%
#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 #s(literal 1 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/4 binary32) s)))
9.0%
#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 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
9.0%
#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 #s(literal 1 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32))))
9.0%
#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 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) r) (PI.f32))))
9.0%
#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 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))
9.0%
#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 (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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))))
Compiler

Compiled 5 005 to 1 761 computations (64.8% saved)

regimes141.0ms (0.9%)

Memory
0.8MiB live, 164.3MiB allocated
Counts
120 → 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.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 (*.f32 r 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 #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))) #s(approx (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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 (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) (*.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 (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))) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (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 (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(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s 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 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s)) #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 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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))) (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 r (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))) s)) s)) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
(+.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)))))))
(+.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 (/.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 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 r s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s s) (*.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)))
#s(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 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 1/8 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 (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s))
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(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) (*.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 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 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)))))
(+.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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 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)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 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 (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 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r #s(literal 6 binary32))) (*.f32 s (PI.f32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) r)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 6 binary32))) #s(literal -1 binary32))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (exp.f32 (log.f32 (PI.f32)))) s) r)))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 r #s(literal 6 binary32)))))))
(*.f32 (fma.f32 r (/.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s))))) (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.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 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 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)))) s) r)))
Outputs
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 r #s(literal 6 binary32)))))))
Calls

3 calls:

69.0ms
r
39.0ms
s
26.0ms
(+.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
99.6%1s
99.6%1r
99.6%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)

regimes130.0ms (0.8%)

Memory
-5.4MiB live, 190.6MiB allocated
Counts
117 → 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
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(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(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) (*.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 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 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)))))
(+.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 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 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)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 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 (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 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r #s(literal 6 binary32))) (*.f32 s (PI.f32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) r)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 6 binary32))) #s(literal -1 binary32))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (exp.f32 (log.f32 (PI.f32)))) s) r)))
Outputs
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))))
Calls

3 calls:

64.0ms
s
33.0ms
r
26.0ms
(+.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
99.6%1s
99.6%1r
99.6%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)

regimes91.0ms (0.6%)

Memory
12.8MiB live, 205.2MiB 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.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 (*.f32 r 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 #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))) #s(approx (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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 (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) (*.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 (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))) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s) (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (/.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 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (/.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 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (/.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 #s(literal 1/8 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 binary32) r) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (fma.f32 (PI.f32) (*.f32 (*.f32 r s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r s) (*.f32 (PI.f32) (*.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 (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 (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 (*.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 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)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
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(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
(+.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)))))))
(+.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 (/.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 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 r s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s s) (*.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)))
#s(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 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 1/8 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 (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s))
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
Outputs
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 binary32))))
Calls

3 calls:

32.0ms
r
31.0ms
s
23.0ms
(+.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
99.6%1s
99.6%1r
99.6%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)

regimes199.0ms (1.2%)

Memory
16.1MiB live, 134.0MiB 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.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 (*.f32 r 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 #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))) #s(approx (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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 (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) (*.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 (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))) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s) (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (/.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 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
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(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s 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 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s)) #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 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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))) (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 r (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))) s)) s)) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
(+.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)))))))
(+.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 (/.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 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 r s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s s) (*.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)))
#s(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 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 1/8 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 (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s))
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(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 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 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 (*.f32 #s(literal 1/8 binary32) (+.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))))) s))
Calls

3 calls:

115.0ms
(+.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)))
52.0ms
r
27.0ms
s
Results
AccuracySegmentsBranch
99.5%1s
99.5%1r
99.5%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)

regimes128.0ms (0.8%)

Memory
-8.8MiB live, 120.8MiB allocated
Counts
97 → 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.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 (*.f32 r 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 #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))) #s(approx (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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))))
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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 (/.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 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 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)) #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 #s(approx (+ (* r (* (/ r (* s (PI))) 1/1296)) (* (/ r (PI)) -1/144)) (*.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)))))))
(+.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(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s 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 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s)) #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 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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))) (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 r (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))) s)) s)) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
(+.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)))))))
(+.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 (/.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 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 r s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s s) (*.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)))
#s(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 (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)))
Calls

3 calls:

72.0ms
r
25.0ms
s
19.0ms
(+.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
99.4%1s
99.4%1r
99.4%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)

regimes215.0ms (1.3%)

Memory
-28.3MiB live, 164.4MiB allocated
Counts
96 → 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.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 (*.f32 r 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 #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)))
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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 (/.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 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 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)) #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 #s(approx (+ (* r (* (/ r (* s (PI))) 1/1296)) (* (/ r (PI)) -1/144)) (*.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)))))))
(+.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(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s 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 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s)) #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 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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))) (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 r (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))) s)) s)) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
(+.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)))))))
(+.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 (/.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 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 r s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s s) (*.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)))
Outputs
(*.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)))
Calls

3 calls:

68.0ms
s
59.0ms
r
40.0ms
(+.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
99.4%1s
99.4%1r
99.4%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)

regimes174.0ms (1.1%)

Memory
-2.2MiB live, 160.2MiB allocated
Counts
95 → 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.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 (*.f32 r 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 #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))) #s(approx (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
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(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 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)) #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 #s(approx (+ (* r (* (/ r (* s (PI))) 1/1296)) (* (/ r (PI)) -1/144)) (*.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)))))))
(+.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(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s 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 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s)) #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 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (*.f32 r (fma.f32 r (/.f32 #s(literal 1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/144 binary32) (PI.f32)))))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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))) (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 r (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))) s)) s)) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
(+.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)))))))
(+.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 (/.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 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/144 binary32) (PI.f32)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/1296 binary32))) (*.f32 s (PI.f32)))) s)) (*.f32 r s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 r s)))))
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 (+.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)))
Calls

3 calls:

64.0ms
r
45.0ms
s
41.0ms
(+.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)

regimes141.0ms (0.9%)

Memory
14.9MiB live, 130.8MiB allocated
Counts
80 → 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.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 (*.f32 r 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 #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))) #s(approx (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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 (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) (*.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 (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))
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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 (+.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)))
Calls

3 calls:

79.0ms
r
42.0ms
s
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)))
Results
AccuracySegmentsBranch
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)))
10.1%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes222.0ms (1.3%)

Memory
8.3MiB live, 120.9MiB allocated
Counts
79 → 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.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 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 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 (pow.f32 (*.f32 r r) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/4 binary32) 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) (*.f32 r (PI.f32))) (pow.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) #s(literal -1/2 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 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) r))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 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 binary32) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 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))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.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 (*.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))))))
(+.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 r (PI.f32)) s))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 r (/.f32 (fma.f32 (*.f32 r r) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) s)) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s 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 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (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)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(+.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 (/.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)))))))
#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(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/1296 binary32) #s(literal 1/144 binary32))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
Outputs
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
Calls

3 calls:

123.0ms
(+.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)))
51.0ms
r
44.0ms
s
Results
AccuracySegmentsBranch
10.1%1s
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)))
10.1%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes114.0ms (0.7%)

Memory
-19.3MiB live, 112.8MiB allocated
Counts
77 → 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.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 (*.f32 r 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 #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))) #s(approx (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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 (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) (*.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 (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))) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s) (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (/.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 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (/.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 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (/.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 #s(literal 1/8 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 binary32) r) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (fma.f32 (PI.f32) (*.f32 (*.f32 r s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r s) (*.f32 (PI.f32) (*.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 (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 (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 (*.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 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)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* (exp (/ r (neg s))) 1/8) (* (PI) (* r s))) (/ (* 3/4 (exp (* r (/ -1/3 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)))) (/.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 (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.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 (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))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s) (/.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))))
#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 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (*.f32 s (PI.f32)) (*.f32 s (/.f32 #s(literal 1/4 binary32) r))) (*.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 (fma.f32 s (*.f32 s #s(literal 1/4 binary32)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 s (*.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 (/.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 (*.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 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) #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)))))))
#s(approx (+ (/ (* 1/4 (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 s)) (pow.f32 (/.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 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 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 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 (pow.f32 (*.f32 r r) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/4 binary32) 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) (*.f32 r (PI.f32))) (pow.f32 (*.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 s #s(literal 4 binary32))) #s(literal -1/2 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 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) r))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 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 binary32) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 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))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.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 (*.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))))))
(+.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 r (PI.f32)) s))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 r (/.f32 (fma.f32 (*.f32 r r) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) s)) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s 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 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (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)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(+.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 (/.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)))))))
#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))
Outputs
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
Calls

3 calls:

54.0ms
s
23.0ms
r
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)))
Results
AccuracySegmentsBranch
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)))
10.1%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes89.0ms (0.5%)

Memory
31.0MiB live, 111.8MiB allocated
Counts
74 → 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 (/.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)))
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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 #s(literal 1/8 binary32) (*.f32 r (*.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 r (PI.f32)) s))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 r (/.f32 (fma.f32 (*.f32 r r) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) s)) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) r) (/.f32 #s(literal -1/1296 binary32) s))))) (*.f32 (*.f32 s 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 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (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)))
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 (*.f32 r s) (PI.f32)))))
Calls

3 calls:

37.0ms
r
32.0ms
s
15.0ms
(+.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%1r
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)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes72.0ms (0.4%)

Memory
-10.5MiB live, 67.1MiB allocated
Counts
45 → 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.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 (*.f32 r 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 #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))) #s(approx (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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 (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) (*.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 (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))) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s) (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (/.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 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (/.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 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (/.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 #s(literal 1/8 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 binary32) r) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (fma.f32 (PI.f32) (*.f32 (*.f32 r s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r s) (*.f32 (PI.f32) (*.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 (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))))))
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:

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)))
20.0ms
s
12.0ms
r
Results
AccuracySegmentsBranch
9.8%1r
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
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes57.0ms (0.3%)

Memory
-20.5MiB live, 59.6MiB 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (*.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 #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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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 binary32) r) (/.f32 #s(literal 1/4 binary32) 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) (/.f32 r (/.f32 #s(literal 1/4 binary32) 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) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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) (*.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 (*.f32 r 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 #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))) #s(approx (+ (/ 1/4 (* r (* s (PI)))) (/ -1/6 (* s (* s (PI))))) (/.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 (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) (*.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 (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))) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s) (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (/.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 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (/.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 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (/.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 #s(literal 1/8 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 binary32) r) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (fma.f32 (PI.f32) (*.f32 (*.f32 r s) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r s) (*.f32 (PI.f32) (*.f32 s (*.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 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32))))
Calls

3 calls:

27.0ms
s
18.0ms
r
9.0ms
(+.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
9.0%1r
9.0%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)))
9.0%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes16.0ms (0.1%)

Memory
27.9MiB live, 27.9MiB allocated
Counts
17 → 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 (/.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 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 #s(literal 1 binary32) (*.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 (/.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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) s) 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 (/.f32 #s(literal 1/4 binary32) 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) s) (/.f32 (/.f32 #s(literal 1 binary32) 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 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
Calls

3 calls:

5.0ms
r
5.0ms
s
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
9.0%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)))
9.0%1s
9.0%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes26.0ms (0.2%)

Memory
-16.8MiB live, 22.6MiB allocated
Counts
11 → 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 (/.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 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)))
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 s (PI.f32))) r))
Calls

3 calls:

18.0ms
s
4.0ms
r
3.0ms
(+.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
9.0%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)))
9.0%1s
9.0%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes9.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
8 → 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 (/.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))
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 s) (PI.f32))))
Calls

3 calls:

3.0ms
r
3.0ms
s
3.0ms
(+.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
9.0%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)))
9.0%1s
9.0%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes4.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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)))))
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:

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)))
1.0ms
r
1.0ms
s
Results
AccuracySegmentsBranch
9.0%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)))
9.0%1s
9.0%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify28.0ms (0.2%)

Memory
-6.0MiB live, 33.8MiB allocated
Algorithm
1×egg-herbie
Rules
64×*-commutative_binary32
28×+-commutative_binary32
6×neg-sub0_binary32
6×neg-mul-1_binary32
6×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0160804
1213804
2219804
3222804
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 r #s(literal 6 binary32)))))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))))
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 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 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 (/.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)))
(*.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)))
(+.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 (/.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 (/.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)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (*.f32 s 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 (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 (*.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 (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 #s(literal 1 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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) (*.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 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(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)))))
Outputs
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 r #s(literal 6 binary32)))))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))))))
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) #s(literal 8 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 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.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 (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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) 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)))
(+.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 (/.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 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (*.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 (+.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)))
(+.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 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (*.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 (+.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)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #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 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (*.f32 s s) (*.f32 s (PI.f32)))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 (fma.f32 s #s(literal -1/24 binary32) #s(approx (* (neg (PI)) (+ (* r (/ -1/144 (PI))) (/ (* r (* r 1/1296)) (* s (PI))))) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (*.f32 s (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 (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 (*.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 (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 (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 (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 #s(literal 1 binary32) r) (/.f32 (/.f32 #s(literal 1/4 binary32) 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) (*.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 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(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 (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 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))

soundness1.9s (11.6%)

Memory
12.2MiB live, 1 603.0MiB allocated
Rules
18 480×lower-fma.f64
18 480×lower-fma.f32
17 610×lower-fma.f64
17 610×lower-fma.f32
14 624×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359561788
082271755
04007413
112027151
233446902
086956750
081486
0129478
1509440
25388440
08533426
03837267
111477023
231776792
084466656
083445
0134450
1481415
24716415
09245407
02590
04390
114279
2131271
0945671
094526
0145520
1590487
26147487
08122478
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 935 to 441 computations (52.8% saved)

preprocess78.0ms (0.5%)

Memory
8.2MiB live, 206.2MiB allocated
Compiler

Compiled 888 to 270 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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