Disney BSSRDF, PDF of scattering profile

Time bar (total: 16.0s)

analyze63.0ms (0.4%)

Memory
25.9MiB live, 145.3MiB 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 (14.6%)

Memory
-164.5MiB live, 3 316.0MiB allocated
Samples
1.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 488.0ms (30.5% of total)
ival-<: 292.0ms (18.3% of total)
ival-div: 262.0ms (16.4% of total)
const: 190.0ms (11.9% of total)
ival-exp: 139.0ms (8.7% of total)
ival-neg: 57.0ms (3.6% of total)
ival-<=: 52.0ms (3.3% of total)
ival-add: 37.0ms (2.3% of total)
ival-pi: 29.0ms (1.8% of total)
exact: 28.0ms (1.8% of total)
ival-and: 22.0ms (1.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess318.0ms (2%)

Memory
22.1MiB live, 283.3MiB 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)))))

explain338.0ms (2.1%)

Memory
-45.0MiB live, 499.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
38(13.757214546203613 12379.4775390625)3(6.9376742430904415e-6 0.0014294105349108577)(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
15(0.0018158858874812722 0.3044780194759369)1(4.1082273583015194e-7 2.141688128176611e-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-(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
00-0-(neg.f32 r)
00-0-s
00-0-(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
00-0-(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
00-0-#s(literal 3/4 binary32)
00-0-(/.f32 (neg.f32 r) s)
00-0-#s(literal 1/4 binary32)
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)))sensitivity85
exp.f32(exp.f32 (/.f32 (neg.f32 r) s))sensitivity55
Confusion
Predicted +Predicted -
+11
-11243
Precision
0.08333333333333333
Recall
0.5
Confusion?
Predicted +Predicted MaybePredicted -
+110
-114239
Precision?
0.11764705882352941
Recall?
1.0
Freqs
test
numberfreq
0244
111
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
108.0ms512×0valid
Compiler

Compiled 366 to 104 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 30.0ms (43.6% of total)
ival-div: 23.0ms (33.4% of total)
ival-exp: 8.0ms (11.6% of total)
ival-pi: 2.0ms (2.9% of total)
ival-add: 2.0ms (2.9% of total)
ival-neg: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB 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)

simplify275.0ms (1.7%)

Memory
3.1MiB live, 312.1MiB 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)

localize86.0ms (0.5%)

Memory
-3.6MiB live, 160.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓accuracy99.3%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
✓accuracy99.0%
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
41.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 14.0ms (49.1% of total)
ival-div: 7.0ms (24.5% of total)
ival-exp: 4.0ms (14% of total)
ival-pi: 1.0ms (3.5% of total)
ival-add: 1.0ms (3.5% of total)
exact: 1.0ms (3.5% of total)
ival-neg: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory
27.0MiB live, 62.7MiB 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 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<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>) () ())
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 (* 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 (* 2 (* r (* s (PI)))) (taylor 0 s) (#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 0 s) (#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 0 s) (#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 0 s) (#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 s) (#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 s) (#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 s) (#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 s) (#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 s) (#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 s) (#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 s) (#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 s) (#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 0 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 0 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 0 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 0 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 (* 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>) () ())) ())
Calls

39 calls:

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

simplify366.0ms (2.3%)

Memory
-18.2MiB live, 692.7MiB 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
359491788
082201755
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)))
(* 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))))
(* 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))))
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 #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)
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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 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))

rewrite381.0ms (2.4%)

Memory
48.2MiB live, 558.4MiB 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 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
Outputs
(neg.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))))
(neg.f32 (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (neg.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))))
(neg.f32 (/.f32 (fma.f32 r (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (neg.f32 r))))
(neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)))) (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 r (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (+.f32 (neg.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)))
(+.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)) (neg.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (neg.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
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(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) #s(literal 6 binary32)) (*.f32 s (PI.f32)))
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(/.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))))
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(*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (neg.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.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))))
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(*.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)))
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(*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r))
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(neg.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))
(neg.f32 (*.f32 (/.f32 #s(literal 1/3 binary32) s) r))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32)))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(+.f32 (*.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 0 binary32)) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(/.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 (*.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))))
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(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 r s))
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(*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 1 binary32))
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(*.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))
(*.f32 (*.f32 r #s(literal 2 binary32)) (*.f32 s (PI.f32)))
(*.f32 (*.f32 r (*.f32 #s(literal 2 binary32) (PI.f32))) s)
(*.f32 (neg.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))) r)
(*.f32 (neg.f32 (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 r s))

eval65.0ms (0.4%)

Memory
-11.0MiB live, 142.9MiB allocated
Compiler

Compiled 26 889 to 1 726 computations (93.6% saved)

prune113.0ms (0.7%)

Memory
5.0MiB live, 241.1MiB allocated
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New67428702
Fresh000
Picked101
Done000
Total67528703
Accuracy
99.8%
Counts
703 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(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)))))
▶99.1%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.1%
(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)))))
99.1%
(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)))))
15.1%
(/.f32 (fma.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.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))))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))))) (*.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))))) (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r))))
99.1%
(/.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)) r)) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
67.1%
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
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 (/.f32 r s) #s(literal -3 binary32)))) (*.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 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
13.0%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (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)))
12.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.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)))
13.0%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
11.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #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))))))
12.1%
(+.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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
99.1%
(+.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
▶12.5%
(+.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)))
99.5%
(*.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)))
11.6%
(*.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 #s(literal 1 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)))
10.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (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))
12.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 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))
11.5%
#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 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
▶10.9%
#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 -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
12.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (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 (/.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))
▶11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
12.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #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))))))
11.5%
#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 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
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 (/.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)))) (/.f32 #s(literal 1/8 binary32) s)))
Compiler

Compiled 1 926 to 1 186 computations (38.4% saved)

simplify382.0ms (2.4%)

Memory
11.8MiB live, 338.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
✓cost-diff0
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
✓cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
✓cost-diff864
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
✓cost-diff64
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓cost-diff64
(+.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)))
✓cost-diff96
(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))))
✓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-diff0
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
✓cost-diff0
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
✓cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
✓cost-diff640
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
✓cost-diff0
(*.f32 s (PI.f32))
✓cost-diff0
(*.f32 r (*.f32 s (PI.f32)))
✓cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
✓cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
✓cost-diff0
(+.f32 (/.f32 (exp.f32 (/.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))))
✓cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))
✓cost-diff192
(/.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)
✓cost-diff512
(*.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)))))
Rules
4 532×lower-/.f64
4 526×lower-fma.f64
4 516×lower-fma.f32
4 490×lower-/.f32
4 108×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094832
0157845
1298807
2728753
32106730
44060730
54698730
65206730
75601730
85723730
95739730
107120730
117195730
127475730
137506730
147506730
157530730
08757720
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))
(/.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)
(*.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)))))
#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))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(/.f32 r s)
#s(literal -1/3 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
#s(literal -7/324 binary32)
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 r r)
r
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
s
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.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)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.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))))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
#s(literal 5/72 binary32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(+.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)))
#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 (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)
(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 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32)))
(/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32)))
#s(literal 1/16 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(/.f32 #s(literal -1/8 binary32) (PI.f32))
#s(literal -1/8 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(/.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))
(neg.f32 r)
(*.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)
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r s)
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
(/.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)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(*.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)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
#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))))
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))
(/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(/.f32 r (neg.f32 s))
(neg.f32 (/.f32 r s))
r
(neg.f32 s)
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 r s)
#s(literal -1/3 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
#s(literal -7/324 binary32)
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))
(*.f32 r r)
r
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(*.f32 (PI.f32) (*.f32 s (*.f32 s s)))
s
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.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)))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.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))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
#s(literal 5/72 binary32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(+.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 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (PI.f32)))) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (/.f32 (*.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) s) #s(literal -1/8 binary32)) r) (PI.f32)) (*.f32 s s))) r)))
#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))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (/.f32 (*.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) s) #s(literal -1/8 binary32)) r) (PI.f32)) (*.f32 s 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (/.f32 (*.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) s) #s(literal -1/8 binary32)) r) (PI.f32)) (*.f32 s s))) r)
(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))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (/.f32 (*.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) s) #s(literal -1/8 binary32)) r) (PI.f32)) (*.f32 s s)))
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))
(fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32)))
(/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32)))
#s(literal 1/16 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(/.f32 #s(literal -1/8 binary32) (PI.f32))
#s(literal -1/8 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(/.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 #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 (neg.f32 r) (*.f32 #s(literal 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 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(neg.f32 r)
(*.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 r (*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32)))
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 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 r (*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 r (*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32))))
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 s (*.f32 #s(literal 6 binary32) (PI.f32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) (PI.f32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(/.f32 r (neg.f32 s))
(neg.f32 (/.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 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 r s)

localize359.0ms (2.2%)

Memory
15.9MiB live, 483.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f32 r (*.f32 s #s(literal -3 binary32)))
✓accuracy99.3%
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
✓accuracy99.0%
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 r s))
✓accuracy99.0%
(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))))
✓accuracy99.0%
(*.f32 s (PI.f32))
✓accuracy98.8%
(/.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)
✓accuracy12.4%
#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))
✓accuracy98.9%
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
✓accuracy98.9%
(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))))
✓accuracy58.7%
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
✓accuracy12.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
✓accuracy99.3%
(*.f32 r (*.f32 s (PI.f32)))
✓accuracy99.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
✓accuracy99.0%
(*.f32 s (PI.f32))
✓accuracy11.0%
#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)))))
✓accuracy99.6%
(exp.f32 (/.f32 r (neg.f32 s)))
✓accuracy99.6%
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
✓accuracy99.0%
(*.f32 s (PI.f32))
✓accuracy98.1%
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
Samples
210.0ms256×0valid
Compiler

Compiled 730 to 86 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-mult: 93.0ms (52.6% of total)
ival-div: 46.0ms (26% of total)
const: 12.0ms (6.8% of total)
ival-add: 11.0ms (6.2% of total)
ival-exp: 10.0ms (5.7% of total)
ival-neg: 2.0ms (1.1% 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)

series116.0ms (0.7%)

Memory
-11.5MiB live, 160.9MiB allocated
Counts
31 → 720
Calls
Call 1
Inputs
#s(alt (*.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))))) (patch (*.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))))) #<representation binary32>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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)) #<representation binary32>) () ())
#s(alt (+.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)))) (patch (+.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)))) #<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 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.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)))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s) (patch (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (patch (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #<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 (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)))) (patch (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)))) #<representation binary32>) () ())
#s(alt (+.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))) (patch (+.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))) #<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 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (patch (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (patch (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (patch (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) (patch (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (patch (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (patch (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)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.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)) (patch #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)) #<representation binary32>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (patch (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* s (PI))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))))) (patch (*.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))))) (patch (*.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))))) (patch (*.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))))) (patch (*.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))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))))) (patch (*.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))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))))) (patch (*.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))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))))) (patch (*.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))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.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))))) (patch (*.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))))) #<representation binary32>) () ())) ())
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#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (patch (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1/8 (* r (* s (PI)))) (taylor 0 r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor 0 r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor 0 r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor 0 r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor inf r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor inf r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor inf r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor inf r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor -inf r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor -inf r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor -inf r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor -inf r) (#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 (/ 1/8 (* r (* s (PI)))) (taylor 0 s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor 0 s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor 0 s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor 0 s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor inf s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor inf s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor inf s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor inf s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor -inf s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor -inf s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor -inf s) (#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 (/ 1/8 (* r (* s (PI)))) (taylor -inf s) (#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 (* -1/3 (/ r s)) (taylor 0 r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
Calls

180 calls:

TimeVariablePointExpression
30.0ms
s
@inf
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))))
15.0ms
r
@0
(/ (* r r) (* s (* s (* s (PI)))))
1.0ms
s
@0
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))))
1.0ms
s
@inf
(+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))
1.0ms
s
@0
(/ (* r r) (* s (* s (* s (PI)))))

simplify480.0ms (3%)

Memory
7.6MiB live, 667.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 372×lower-fma.f64
7 372×lower-fma.f32
4 832×lower-*.f64
4 832×lower-*.f32
3 386×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077410497
1238110018
269339939
080649689
Stop Event
1×iter limit
1×node limit
Counts
720 → 720
Calls
Call 1
Inputs
(/ 1/4 (* s (PI)))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))
(+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(/ 1/4 (* s (PI)))
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (+ (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI))))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (pow r 3) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI)))))) s)
(/ 1/4 (* s (PI)))
(* -1 (/ (- (* -1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (pow r 2) (PI)))) s)) (* 1/8 (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (pow r 3) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (pow r 2) (PI)))))) s)) (* 1/8 (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (+ (* -1/2 (/ r (PI))) (* -1/18 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ r (PI))) (* -1/18 (/ r (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
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(* -1 (* r (- (* 1/8 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/16 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/16 (/ 1 (* (pow s 3) (PI)))))))
(* 1/16 (/ r (* (pow s 3) (PI))))
(/ (+ (* -1/8 (/ s (PI))) (* 1/16 (/ r (PI)))) (pow s 3))
(/ (+ (* 1/16 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))))) (pow s 3))
(/ (+ (* 1/16 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))))) (pow s 3))
(/ 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)
(/ (- (+ (* 1/16 (/ 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 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
Outputs
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(fma.f32 r (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 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 (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 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))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) s)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) s)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) s)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) s)
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (+ (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/9 binary32)) (PI.f32)) (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (pow r 3) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI)))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 (*.f32 r (*.f32 r r)) (PI.f32)) (/.f32 #s(literal -14/81 binary32) (*.f32 s (*.f32 s s))) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/9 binary32)) (PI.f32)) (*.f32 s s))) (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) s)
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
(* -1 (/ (- (* -1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal -1/4 binary32) (PI.f32))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (pow r 2) (PI)))) s)) (* 1/8 (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -5/9 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (pow r 3) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (pow r 2) (PI)))))) s)) (* 1/8 (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (/.f32 (*.f32 r (*.f32 r r)) (PI.f32)) #s(literal -14/81 binary32)) s) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -5/72 binary32))) (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 s r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 s r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 s r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 s r))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (*.f32 r #s(literal 5/9 binary32)) (PI.f32)) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) (/.f32 #s(literal -14/81 binary32) (*.f32 s (*.f32 s s))) (/.f32 (/.f32 (*.f32 r #s(literal 5/9 binary32)) (PI.f32)) (*.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
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(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
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(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 s (*.f32 (PI.f32) r)) #s(literal 6 binary32))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(* -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))
(* -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))

rewrite380.0ms (2.4%)

Memory
-10.4MiB live, 709.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 678×lower-*.f64
5 636×lower-*.f32
3 644×lower-fma.f64
3 634×lower-fma.f32
3 364×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094612
0157620
1578577
25502562
08843557
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
31 → 923
Calls
Call 1
Inputs
(*.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)))))
(/.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)
#s(approx (+ (/ (* 1/4 (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 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(+.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))))
#s(approx (+ (/ (* 1/4 (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))
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/.f32 (*.f32 r r) (*.f32 s (*.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 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))))
(+.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)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(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))))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.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 (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 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
Outputs
(+.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 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.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 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s) (/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) s) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 6 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
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(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 r #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 r))
(*.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 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s))

eval217.0ms (1.4%)

Memory
29.9MiB live, 406.8MiB allocated
Compiler

Compiled 66 364 to 4 176 computations (93.7% saved)

prune543.0ms (3.4%)

Memory
-13.6MiB live, 859.4MiB allocated
Pruning

63 alts after pruning (60 fresh and 3 done)

PrunedKeptTotal
New1 777521 829
Fresh15823
Picked235
Done000
Total1 794631 857
Accuracy
99.9%
Counts
1 857 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.1%
(fma.f32 (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.0%
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.1%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 r s) #s(literal 6 binary32)) (PI.f32))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.1%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.1%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
11.3%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.5%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.3%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
▶12.6%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.6%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.1%
(/.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)) r)) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
67.1%
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
11.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #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))))))
10.8%
#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 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))) s))
11.5%
#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 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 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 (fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r))
✓10.9%
#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 -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
10.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32)))))) s))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
10.9%
#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 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
12.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (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))
10.9%
#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 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (*.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.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 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) 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 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32) (*.f32 (*.f32 s (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s))) (*.f32 (*.f32 s (PI.f32)) (PI.f32)))) r))
96.5%
#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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/3 binary32) s)) (neg.f32 r)) (*.f32 s (PI.f32))))) r))
95.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) (/.f32 r #s(literal 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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32)))) (*.f32 s (PI.f32))))) r))
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 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))) 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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -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 (/.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))
12.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 #s(literal 1/18 binary32) (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1 binary32)))) (*.f32 s (PI.f32))))) r))
11.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
13.0%
#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 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
11.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r))
12.5%
#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) #s(approx (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s))) r))
11.5%
#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) #s(approx (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (/.f32 #s(literal 2 binary32) (PI.f32))) s))) r))
12.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (*.f32 s (*.f32 s s)))) s))
4.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 s (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)) (*.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (*.f32 s (*.f32 s s)))) s))
11.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
12.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
▶11.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
12.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/9 binary32)) (PI.f32)) (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r))
12.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (/.f32 (*.f32 r (*.f32 r r)) (PI.f32)) #s(literal -14/81 binary32)) s) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -5/72 binary32))) (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
▶10.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
▶11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
12.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #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))))))
11.5%
#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 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
11.5%
#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 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
10.9%
#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 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) s)))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
▶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 (/.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)))) (/.f32 #s(literal 1/8 binary32) 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))) #s(approx (/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 s r))))
Compiler

Compiled 3 413 to 2 120 computations (37.9% saved)

simplify315.0ms (2%)

Memory
-6.6MiB live, 471.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff32
(/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s)
✓cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
✓cost-diff64
(-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s))
✓cost-diff320
(fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32)))
✓cost-diff0
(/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))
✓cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))))
✓cost-diff640
(fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
✓cost-diff0
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
✓cost-diff0
#s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
✓cost-diff0
(/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
✓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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
✓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))) (*.f32 r (PI.f32)))
✓cost-diff0
(+.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))))
✓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 (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)))) (/.f32 #s(literal 1/8 binary32) s)))
✓cost-diff704
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s))
Rules
9 534×lower-fma.f64
9 526×lower-fma.f32
4 762×lower-*.f64
4 734×lower-*.f32
2 168×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121008
01711011
1331986
2778908
32315864
44724864
55429864
66816864
08274836
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.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)))) (/.f32 #s(literal 1/8 binary32) s)))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s))
(+.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))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
s
(*.f32 r (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(/.f32 r s)
#s(literal -1/3 binary32)
(/.f32 #s(literal 1/8 binary32) 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)))
#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 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
#s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
(PI.f32)
r
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(*.f32 s (PI.f32))
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))))
#s(literal 1 binary32)
(/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))
s
(fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
(*.f32 #s(literal -7/324 binary32) r)
#s(literal -7/324 binary32)
r
(/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))
#s(literal 5/72 binary32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
#s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)))
(/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s)
(-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s))
(/.f32 #s(literal -1/18 binary32) (PI.f32))
#s(literal -1/18 binary32)
(PI.f32)
(/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)
(fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32)))
(/.f32 (*.f32 r r) (*.f32 s (PI.f32)))
(*.f32 r r)
r
(*.f32 s (PI.f32))
s
#s(literal 1/972 binary32)
(*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))
(/.f32 r (PI.f32))
#s(literal -1/108 binary32)
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) r)
#s(literal 3/4 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r s)
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.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)))) (/.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 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 (neg.f32 r) s)))))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(+.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))))
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 r (PI.f32))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 r (PI.f32)))
(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
(*.f32 r (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))
(/.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 r (PI.f32)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(/.f32 r s)
#s(literal -1/3 binary32)
(/.f32 #s(literal 1/8 binary32) 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))))
#s(approx (+ (/ (* 1/4 (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 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) s))
(/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) s)
#s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
(*.f32 r (PI.f32))
(PI.f32)
r
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(*.f32 s (PI.f32))
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))))
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) s)
#s(literal 1 binary32)
(/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))
(/.f32 s (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
s
(fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(*.f32 #s(literal -7/324 binary32) r)
(*.f32 r #s(literal -7/324 binary32))
#s(literal -7/324 binary32)
r
(/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(*.f32 (PI.f32) (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))
#s(literal 5/72 binary32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 3/4 binary32) #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/972 binary32) #s(literal 1/108 binary32)) s) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
#s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/972 binary32) #s(literal 1/108 binary32)) s) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/972 binary32) #s(literal 1/108 binary32)) s) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) s)
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)))
(+.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/972 binary32) #s(literal 1/108 binary32)) s) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))))
(/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s)
(fma.f32 (/.f32 r (*.f32 s (PI.f32))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/972 binary32) #s(literal 1/108 binary32)) s) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))
(-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s))
(fma.f32 (/.f32 r (PI.f32)) (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/972 binary32) #s(literal 1/108 binary32)) s) (/.f32 #s(literal -1/18 binary32) (PI.f32)))
(/.f32 #s(literal -1/18 binary32) (PI.f32))
#s(literal -1/18 binary32)
(PI.f32)
(/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)
(/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 r s) #s(literal 1/972 binary32) #s(literal -1/108 binary32))) s)
(fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32)))
(*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 r s) #s(literal 1/972 binary32) #s(literal -1/108 binary32)))
(/.f32 (*.f32 r r) (*.f32 s (PI.f32)))
(*.f32 r (/.f32 r (*.f32 s (PI.f32))))
(*.f32 r r)
r
(*.f32 s (PI.f32))
s
#s(literal 1/972 binary32)
(*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))
(/.f32 (*.f32 r #s(literal -1/108 binary32)) (PI.f32))
(/.f32 r (PI.f32))
#s(literal -1/108 binary32)
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) r)
(*.f32 r (PI.f32))
#s(literal 3/4 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(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 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 r s)

localize387.0ms (2.4%)

Memory
-6.2MiB live, 621.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(/.f32 r (PI.f32))
✓accuracy98.6%
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))
✓accuracy96.0%
(fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32)))
✓accuracy12.7%
#s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s))
✓accuracy98.9%
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
✓accuracy98.9%
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
✓accuracy58.3%
(fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
✓accuracy12.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))))
✓accuracy99.0%
(*.f32 s (PI.f32))
✓accuracy98.9%
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
✓accuracy18.8%
#s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
✓accuracy12.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
✓accuracy100.0%
(PI.f32)
✓accuracy99.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
✓accuracy98.9%
(*.f32 (*.f32 r s) (PI.f32))
✓accuracy11.0%
#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))))
✓accuracy99.6%
(exp.f32 (/.f32 r (neg.f32 s)))
✓accuracy99.6%
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
✓accuracy99.0%
(*.f32 r (PI.f32))
✓accuracy98.1%
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
Samples
256.0ms256×0valid
Compiler

Compiled 818 to 104 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-mult: 84.0ms (40.7% of total)
ival-div: 71.0ms (34.4% of total)
const: 22.0ms (10.6% of total)
ival-add: 13.0ms (6.3% of total)
ival-exp: 10.0ms (4.8% of total)
ival-pi: 2.0ms (1% of total)
ival-neg: 2.0ms (1% of total)
ival-sub: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series93.0ms (0.6%)

Memory
32.7MiB live, 106.9MiB allocated
Counts
31 → 660
Calls
Call 1
Inputs
#s(alt (*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s)) (patch (*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) 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 (/.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)))) (/.f32 #s(literal 1/8 binary32) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.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)))) (/.f32 #s(literal 1/8 binary32) s))) #<representation binary32>) () ())
#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (patch (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r 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 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)) (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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s) (patch (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s) #<representation binary32>) () ())
#s(alt #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) (patch #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (patch (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.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 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))))) #<representation binary32>) () ())
#s(alt (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))) (patch (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) (patch (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) (patch (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) 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 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (patch (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) (patch (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 r (PI.f32)) (patch (*.f32 r (PI.f32)) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (patch (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (patch (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) (patch #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) #<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 (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)))) (/.f32 #s(literal 1/8 binary32) s)) (patch (*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s)) #<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))) (*.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)) (patch (*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s)) (patch (*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s)) #<representation binary32>) () ())) ())
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#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

165 calls:

TimeVariablePointExpression
15.0ms
s
@inf
(+ (* (/ (* r r) (* s (PI))) 1/972) (* (/ r (PI)) -1/108))
2.0ms
r
@-inf
(* (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))) (/ 1/8 s))
2.0ms
s
@-inf
(+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))
1.0ms
r
@inf
(* (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))) (/ 1/8 s))
1.0ms
s
@0
(* (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))) (/ 1/8 s))

simplify557.0ms (3.5%)

Memory
-14.8MiB live, 493.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 630×lower-fma.f64
7 630×lower-fma.f32
6 358×lower-*.f64
6 358×lower-*.f32
3 618×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094310157
129199849
083649561
Stop Event
1×iter limit
1×node limit
Counts
660 → 660
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))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))) s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))) s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))) s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))) s))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 2 (* r (PI)))
(/ (+ (* -4/3 (/ r (* s (PI)))) (* 2 (/ 1 (PI)))) r)
(/ (+ (* r (- (* 5/9 (/ r (* (pow s 2) (PI)))) (* 4/3 (/ 1 (* s (PI)))))) (* 2 (/ 1 (PI)))) r)
(/ (+ (* r (- (* r (+ (* -14/81 (/ r (* (pow s 3) (PI)))) (* 5/9 (/ 1 (* (pow s 2) (PI)))))) (* 4/3 (/ 1 (* s (PI)))))) (* 2 (/ 1 (PI)))) r)
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r)
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r)
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r)
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r)
(* -1 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
(* -1 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
(* -1 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
(* -1 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
(+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(/ 2 (* r (PI)))
(- (* 2 (/ 1 (* r (PI)))) (* 4/3 (/ 1 (* s (PI)))))
(- (+ (* 1/18 (/ r (* (pow s 2) (PI)))) (+ (* 1/2 (/ r (* (pow s 2) (PI)))) (* 2 (/ 1 (* r (PI)))))) (/ 4/3 (* s (PI))))
(- (+ (* -1/6 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/162 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/18 (/ r (* (pow s 2) (PI)))) (+ (* 1/2 (/ r (* (pow s 2) (PI)))) (* 2 (/ 1 (* r (PI)))))))) (/ 4/3 (* s (PI))))
(/ 2 (* r (PI)))
(- (* 2 (/ 1 (* r (PI)))) (* 4/3 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 4/3 (/ 1 (PI)))) s)) (* 2 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s)) (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) s)) (* 4/3 (/ 1 (PI)))) s)) (* 2 (/ 1 (* r (PI)))))
(/ 1 (* r (PI)))
(/ (+ (* -1 (/ r (* s (PI)))) (/ 1 (PI))) r)
(/ (+ (* r (- (* 1/2 (/ r (* (pow s 2) (PI)))) (/ 1 (* s (PI))))) (/ 1 (PI))) r)
(/ (+ (* r (- (* r (+ (* -1/6 (/ r (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 2) (PI)))))) (/ 1 (* s (PI))))) (/ 1 (PI))) r)
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ 1 (* r (PI)))
(- (/ 1 (* r (PI))) (/ 1 (* s (PI))))
(- (+ (* 1/2 (/ r (* (pow s 2) (PI)))) (/ 1 (* r (PI)))) (/ 1 (* s (PI))))
(- (+ (* -1/6 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/2 (/ r (* (pow s 2) (PI)))) (/ 1 (* r (PI))))) (/ 1 (* s (PI))))
(/ 1 (* r (PI)))
(- (/ 1 (* r (PI))) (/ 1 (* s (PI))))
(+ (* -1 (/ (+ (* -1/2 (/ r (* s (PI)))) (/ 1 (PI))) s)) (/ 1 (* r (PI))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow r 2) (* s (PI)))) (* 1/2 (/ r (PI)))) s)) (/ 1 (PI))) s)) (/ 1 (* r (PI))))
(/ 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 s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 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))))
(/ (+ (* -1/6 (/ 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)
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (/ 5/72 (* r (* (pow s 3) (PI)))) (+ (/ 1/6 (* (pow r 2) (* (pow s 2) (PI)))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 3) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/6 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))))
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
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(- (* -1/972 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* -1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))))
(/ -1/18 (PI))
(- (* 1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI))))
(- (* -1 (/ (- (* 1/972 (/ (pow r 2) (* s (PI)))) (* 1/108 (/ r (PI)))) s)) (* 1/18 (/ 1 (PI))))
(- (* -1 (/ (- (* 1/972 (/ (pow r 2) (* s (PI)))) (* 1/108 (/ r (PI)))) s)) (* 1/18 (/ 1 (PI))))
(/ 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))
(/ -1/18 (* s (PI)))
(- (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/18 (/ 1 (* s (PI)))))
(- (* r (+ (* -1/972 (/ r (* (pow s 3) (PI)))) (* 1/108 (/ 1 (* (pow s 2) (PI)))))) (* 1/18 (/ 1 (* s (PI)))))
(- (* r (+ (* -1/972 (/ r (* (pow s 3) (PI)))) (* 1/108 (/ 1 (* (pow s 2) (PI)))))) (* 1/18 (/ 1 (* s (PI)))))
(* -1/972 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 1/108 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/972 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (/ 1/108 (* r (* (pow s 2) (PI)))) (+ (/ 1/18 (* (pow r 2) (* s (PI)))) (* 1/972 (/ 1 (* (pow s 3) (PI)))))))
(* (pow r 2) (- (/ 1/108 (* r (* (pow s 2) (PI)))) (+ (/ 1/18 (* (pow r 2) (* s (PI)))) (* 1/972 (/ 1 (* (pow s 3) (PI)))))))
(* -1/972 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 1/108 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/972 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/18 (/ 1 (* r (* s (PI))))) (* 1/108 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/972 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/18 (/ 1 (* r (* s (PI))))) (* 1/108 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/972 (/ 1 (* (pow s 3) (PI))))))
(* -1/972 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -1/972 (/ (pow r 2) (PI))) (* 1/108 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -1/972 (/ (pow r 2) (PI))) (* s (+ (* -1/18 (/ s (PI))) (* 1/108 (/ r (PI)))))) (pow s 3))
(/ (+ (* -1/972 (/ (pow r 2) (PI))) (* s (+ (* -1/18 (/ s (PI))) (* 1/108 (/ r (PI)))))) (pow s 3))
(/ -1/18 (* s (PI)))
(/ (- (* 1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s)
(/ (- (+ (* -1/972 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/108 (/ r (* s (PI))))) (* 1/18 (/ 1 (PI)))) s)
(/ (- (+ (* -1/972 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/108 (/ r (* s (PI))))) (* 1/18 (/ 1 (PI)))) s)
(/ -1/18 (* s (PI)))
(* -1 (/ (+ (* -1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1/972 (/ (pow r 2) (* s (PI)))) (* 1/108 (/ r (PI)))) s)) (* 1/18 (/ 1 (PI)))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1/972 (/ (pow r 2) (* s (PI)))) (* 1/108 (/ r (PI)))) s)) (* 1/18 (/ 1 (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))
(* 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
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
1
(+ 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)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(/ -1/6 (* s (PI)))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ -1/6 (* s (PI)))
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/ -1/6 (* s (PI)))
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(/ 1/6 (* r (* s (PI))))
(/ (+ (* -1/18 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/108 (/ r (* (pow s 3) (PI)))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 4) (PI)))) (* 1/108 (/ 1 (* (pow s 3) (PI)))))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI))))) r)
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/6 (* r (* s (PI))))
(/ (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI)))) s)
(/ (- (+ (* -1/972 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI)))))) (/ 1/18 (* s (PI)))) s)
(/ 1/6 (* r (* s (PI))))
(* -1 (/ (- (* 1/18 (/ 1 (* s (PI)))) (* 1/6 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/108 (/ r (PI))) (* 1/972 (/ (pow r 2) (* s (PI))))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI))))) s))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (PI)))
(/ 1/6 (* r (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))
Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 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))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (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))) (/ (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))) (/ (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))) (/ (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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (*.f32 r #s(literal 5/9 binary32)) (PI.f32)) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 #s(literal -14/81 binary32) (*.f32 s s)) (/.f32 (/.f32 (*.f32 r #s(literal 5/9 binary32)) (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)
(/ 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 (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32)))) (neg.f32 s))
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(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(/.f32 (*.f32 #s(literal 5/72 binary32) r) (*.f32 s (*.f32 s (PI.f32))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(*.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(*.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(*.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(/.f32 (*.f32 #s(literal 5/72 binary32) r) (*.f32 s (*.f32 s (PI.f32))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (neg.f32 r))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (neg.f32 r))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (neg.f32 r))
(* 5/72 (/ r (* (pow s 2) (PI))))
(/.f32 (*.f32 #s(literal 5/72 binary32) r) (*.f32 s (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 #s(literal 5/72 binary32) r) (PI.f32))) (*.f32 s s))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 #s(literal 5/72 binary32) r) (PI.f32))) (*.f32 s s))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 #s(literal 5/72 binary32) r) (PI.f32))) (*.f32 s s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
(/ 1/6 (* r (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/18 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/18 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/108 (/ r (* (pow s 3) (PI)))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/18 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 4) (PI)))) (* 1/108 (/ 1 (* (pow s 3) (PI)))))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/18 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))) r)
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(/ 1/6 (* r (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI))))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))) s)
(/ (- (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* -1/972 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI)))))) (/ 1/18 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32)))) s)
(/ 1/6 (* r (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/18 (/ 1 (* s (PI)))) (* 1/6 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 r (PI.f32)))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* 1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/108 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/18 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal -1/6 binary32) (*.f32 r (PI.f32)))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/108 (/ r (PI))) (* 1/972 (/ (pow r 2) (* s (PI))))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (neg.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32) (/.f32 (*.f32 #s(literal 1/972 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) s) (/.f32 #s(literal 1/18 binary32) (PI.f32)))) s)) (/.f32 #s(literal -1/6 binary32) (*.f32 r (PI.f32)))) (neg.f32 s))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.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))
(/ r (PI))
(/.f32 r (PI.f32))

rewrite719.0ms (4.5%)

Memory
14.5MiB live, 541.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 172×lower-*.f64
5 144×lower-*.f32
4 172×lower-/.f64
4 130×lower-/.f32
2 960×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111697
0168691
1710661
26516661
08205657
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
31 → 768
Calls
Call 1
Inputs
(*.f32 (+.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)))) (/.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 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
(+.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))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.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 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
#s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))))
(/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))
(fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32)))
(-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s))
(*.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 -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s)
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 r (PI.f32))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
#s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))
(/.f32 r (PI.f32))
Outputs
(+.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(+.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32)))))
(+.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))))
(+.f32 (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(pow.f32 (/.f32 s (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 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 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.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 r (neg.f32 s)))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(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 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(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 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))) #s(literal 1/4 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(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 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) r) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(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 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s #s(literal 8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32))))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) s)
(/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r (*.f32 (PI.f32) (*.f32 r (PI.f32)))) s))
(/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1 binary32)) (*.f32 (*.f32 r (*.f32 (PI.f32) (*.f32 r (PI.f32)))) (*.f32 s #s(literal 8 binary32))))
(/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1/8 binary32)) (*.f32 (*.f32 r (*.f32 (PI.f32) (*.f32 r (PI.f32)))) (neg.f32 s)))
(/.f32 (*.f32 (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 3 binary32))) #s(literal 1/8 binary32)) (*.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))) (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32))) s))
(/.f32 (*.f32 (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))) (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32))) (*.f32 s #s(literal 8 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 3 binary32))) #s(literal -1/8 binary32)) (*.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))) (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32))) (neg.f32 s)))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))) s))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))) (*.f32 s #s(literal 8 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 2 binary32))) #s(literal -1/8 binary32)) (*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))) (neg.f32 s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (*.f32 s (*.f32 r (*.f32 (PI.f32) (*.f32 r (PI.f32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 3 binary32)))) (*.f32 s (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))) (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 2 binary32)))) (*.f32 s (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (*.f32 (*.f32 s #s(literal 8 binary32)) (*.f32 r (*.f32 (PI.f32) (*.f32 r (PI.f32))))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 3 binary32)))) (*.f32 (*.f32 s #s(literal 8 binary32)) (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))) (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 2 binary32)))) (*.f32 (*.f32 s #s(literal 8 binary32)) (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32)))))
(/.f32 (*.f32 #s(literal -1/8 binary32) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (*.f32 (neg.f32 s) (*.f32 r (*.f32 (PI.f32) (*.f32 r (PI.f32))))))
(/.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 3 binary32)))) (*.f32 (neg.f32 s) (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))) (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(literal -1/8 binary32) (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 2 binary32)))) (*.f32 (neg.f32 s) (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32)))))
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(pow.f32 (/.f32 (-.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) #s(literal -1 binary32))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 r s) (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) r (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))))
(fma.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s (PI.f32)))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))))
(fma.f32 (*.f32 r #s(literal 5/72 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) s) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (-.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) (/.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))) (-.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32)))))) (fma.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))))
(/.f32 (fma.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (fma.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))) (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (PI.f32)))))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32))))) (-.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal -1/6 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32))))
(/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (neg.f32 (*.f32 s (PI.f32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1/6 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (neg.f32 (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) s))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32)))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))) (*.f32 (*.f32 s (PI.f32)) (*.f32 r #s(literal 5/72 binary32)))) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s (PI.f32))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32)) (*.f32 r #s(literal 5/72 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32)) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s (PI.f32))) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (*.f32 r #s(literal 5/72 binary32)))) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 s (*.f32 s (PI.f32))) (*.f32 (PI.f32) (*.f32 r #s(literal 5/72 binary32)))) (*.f32 (PI.f32) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32))))))) (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) (neg.f32 (-.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
(/.f32 (-.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32)))))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32))))))
(*.f32 (fma.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))))))
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r #s(literal 5/72 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
#s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (fma.f32 s #s(literal -1/18 binary32) (*.f32 (neg.f32 (PI.f32)) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/972 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal -1/108 binary32)) (PI.f32))))) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) s))
(neg.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 r (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 r (/.f32 #s(literal 1/6 binary32) (PI.f32))) #s(literal -1 binary32))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (neg.f32 r)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/6 binary32) (PI.f32))))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/.f32 #s(literal 1/6 binary32) (neg.f32 (*.f32 (PI.f32) (neg.f32 r))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32))))
(/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) r)
(/.f32 (neg.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 r))
(/.f32 (/.f32 #s(literal 1/6 binary32) r) (PI.f32))
(*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 r))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))))
(*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) #s(literal 1/6 binary32))
(*.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r))
(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 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (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 #s(literal -1 binary32) (/.f32 r (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r)

eval280.0ms (1.8%)

Memory
16.4MiB live, 492.1MiB allocated
Compiler

Compiled 72 036 to 6 085 computations (91.6% saved)

prune412.0ms (2.6%)

Memory
-44.5MiB live, 1 042.7MiB allocated
Pruning

49 alts after pruning (43 fresh and 6 done)

PrunedKeptTotal
New1 934181 952
Fresh302555
Picked235
Done033
Total1 966492 015
Accuracy
99.9%
Counts
2 015 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.1%
(fma.f32 (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.0%
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.1%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 r s) #s(literal 6 binary32)) (PI.f32))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.3%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
12.6%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 #s(approx (- (/ -1/18 (PI)) (/ (+ (* (/ (* r r) (* s (PI))) 1/972) (* (/ r (PI)) -1/108)) s)) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/18 binary32) (PI.f32)))) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.1%
(/.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)) r)) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
67.1%
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
10.9%
#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 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.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 (fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r))
✓10.9%
#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 -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
12.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 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 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s #s(literal 8 binary32))))
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 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) 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 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32) (*.f32 (*.f32 s (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s))) (*.f32 (*.f32 s (PI.f32)) (PI.f32)))) r))
96.5%
#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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/3 binary32) s)) (neg.f32 r)) (*.f32 s (PI.f32))))) r))
95.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) (/.f32 r #s(literal 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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32)))) (*.f32 s (PI.f32))))) r))
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 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))) 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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -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 (/.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))
11.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
4.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))) s))
✓10.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))))
4.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s #s(approx (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))))
22.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32)) (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32))) (neg.f32 s)))))
▶22.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
59.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32))))))))))
▶19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
28.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
14.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 4 binary32) s)))))))
55.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))) (neg.f32 s))))))))
70.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) #s(literal 32/81 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32))))) (neg.f32 s)) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))) (neg.f32 s))))))))
▶11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
✓11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
✓11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
12.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #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))))))
11.5%
#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 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
11.5%
#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 binary32) s) #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))))
▶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) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
✓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 (/.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)))) (/.f32 #s(literal 1/8 binary32) s)))
11.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) 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))) #s(approx (/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 s r))))
Compiler

Compiled 2 616 to 1 650 computations (36.9% saved)

simplify354.0ms (2.2%)

Memory
18.1MiB live, 367.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 s (PI.f32))))) r))
✓cost-diff192
(/.f32 (/.f32 r s) #s(literal -3 binary32))
✓cost-diff192
(/.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 -3 binary32))) (*.f32 s (PI.f32))))) r)
✓cost-diff512
(*.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 -3 binary32))) (*.f32 s (PI.f32)))))
✓cost-diff160
(*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32))
✓cost-diff192
(/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)
✓cost-diff704
(fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))
✓cost-diff704
(fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))))
✓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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
✓cost-diff32
(*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))
✓cost-diff320
(fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))
✓cost-diff0
(*.f32 r (PI.f32))
✓cost-diff0
(*.f32 (*.f32 r (PI.f32)) s)
✓cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
✓cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
✓cost-diff0
(/.f32 #s(literal 1/8 binary32) s)
✓cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
✓cost-diff192
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
Rules
7 962×lower-fma.f64
7 950×lower-fma.f32
4 992×lower-*.f64
4 954×lower-*.f32
2 570×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01071186
01651204
13521088
29961020
33035899
46146899
08304875
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
(/.f32 #s(literal 1/8 binary32) s)
#s(literal 1/8 binary32)
s
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))
#s(literal 1 binary32)
(*.f32 r (PI.f32))
r
(PI.f32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(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)
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))))
#s(literal 1 binary32)
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))
(*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))
s
(fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))
r
(*.f32 (PI.f32) #s(literal 4 binary32))
(PI.f32)
#s(literal 4 binary32)
(*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))
(*.f32 r r)
(*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))
(/.f32 (PI.f32) s)
#s(literal 8/3 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(literal 1 binary32)
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
(*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))
r
(fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))
(fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32)))
(fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)))
(fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)))
#s(literal -28/81 binary32)
(/.f32 (PI.f32) (*.f32 s s))
(PI.f32)
(*.f32 s s)
s
(fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))
#s(literal 20/27 binary32)
(/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)
(*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32))
(*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s))
#s(literal 2/3 binary32)
(/.f32 (PI.f32) s)
#s(literal -2/3 binary32)
(neg.f32 r)
(*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))
(*.f32 (PI.f32) #s(literal 8/3 binary32))
#s(literal 8/3 binary32)
(*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))
(*.f32 s (PI.f32))
#s(literal 4 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 s (PI.f32))))) 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 -3 binary32))) (*.f32 s (PI.f32))))) r)
(*.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 -3 binary32))) (*.f32 s (PI.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 -3 binary32))) (*.f32 s (PI.f32))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 s (PI.f32)))
(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 r s)
#s(literal -3 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) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
(*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) s)
#s(literal 1/8 binary32)
s
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 r (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))
#s(literal 1 binary32)
(*.f32 r (PI.f32))
r
(PI.f32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 (neg.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)
(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)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 r (PI.f32))
r
(PI.f32)
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) #s(literal 1 binary32)) r (*.f32 #s(literal 4 binary32) (*.f32 s (PI.f32))))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) #s(literal 1 binary32)) r (*.f32 #s(literal 4 binary32) (*.f32 s (PI.f32)))))))
#s(literal 1 binary32)
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) #s(literal 1 binary32)) r (*.f32 #s(literal 4 binary32) (*.f32 s (PI.f32))))))
(*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))
(*.f32 r (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) #s(literal 1 binary32)) r (*.f32 #s(literal 4 binary32) (*.f32 s (PI.f32)))))
s
(fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))
(*.f32 r (*.f32 (PI.f32) (fma.f32 (/.f32 #s(literal 8/3 binary32) s) r #s(literal 4 binary32))))
r
(*.f32 (PI.f32) #s(literal 4 binary32))
(PI.f32)
#s(literal 4 binary32)
(*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))
(/.f32 (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32)))) s)
(*.f32 r r)
(*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))
(/.f32 (PI.f32) s)
#s(literal 8/3 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 4/81 binary32)) (*.f32 (PI.f32) (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32)))) (*.f32 #s(literal 4 binary32) (*.f32 s (PI.f32))))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 4/81 binary32)) (*.f32 (PI.f32) (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32)))) (*.f32 #s(literal 4 binary32) (*.f32 s (PI.f32)))))))
#s(literal 1 binary32)
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 4/81 binary32)) (*.f32 (PI.f32) (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32)))) (*.f32 #s(literal 4 binary32) (*.f32 s (PI.f32))))))
(*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))
(*.f32 r (fma.f32 r (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 4/81 binary32)) (*.f32 (PI.f32) (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32)))) (*.f32 #s(literal 4 binary32) (*.f32 s (PI.f32)))))
r
(fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))
(fma.f32 r (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 4/81 binary32)) (*.f32 (PI.f32) (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32)))) (*.f32 #s(literal 4 binary32) (*.f32 s (PI.f32))))
(fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32)))
(fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 4/81 binary32)) (*.f32 (PI.f32) (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32))))
(fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)))
(fma.f32 r (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 4/81 binary32)) (/.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) s))
(fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)))
(*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -4/81 binary32))
#s(literal -28/81 binary32)
(/.f32 (PI.f32) (*.f32 s s))
(PI.f32)
(*.f32 s s)
s
(fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))
(*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 8/27 binary32))
#s(literal 20/27 binary32)
(/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)
(/.f32 (*.f32 (PI.f32) #s(literal -4/9 binary32)) (*.f32 s s))
(*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32))
(*.f32 (PI.f32) (/.f32 #s(literal -4/9 binary32) s))
(*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s))
(/.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) s)
#s(literal 2/3 binary32)
(/.f32 (PI.f32) s)
#s(literal -2/3 binary32)
(neg.f32 r)
(*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))
(/.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) s)
(*.f32 (PI.f32) #s(literal 8/3 binary32))
#s(literal 8/3 binary32)
(*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
#s(literal 4 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(/.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 -3 binary32))) (*.f32 s (PI.f32))))) r)
(*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.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 -3 binary32))) (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 (neg.f32 r) s))))
#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 -3 binary32))) (*.f32 s (PI.f32))))
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32)))
(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
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 s (PI.f32)))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32)))
(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 r s)
#s(literal -3 binary32)

localize522.0ms (3.3%)

Memory
15.4MiB live, 417.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(exp.f32 (/.f32 r (neg.f32 s)))
✓accuracy99.6%
(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
✓accuracy99.0%
(*.f32 s (PI.f32))
✓accuracy98.4%
(/.f32 (/.f32 r s) #s(literal -3 binary32))
✓accuracy69.2%
(fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))
✓accuracy55.1%
(fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)))
✓accuracy12.3%
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
✓accuracy12.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
✓accuracy98.7%
(*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))
✓accuracy92.0%
(*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))
✓accuracy13.4%
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))
✓accuracy12.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
✓accuracy99.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
✓accuracy99.2%
(*.f32 (*.f32 r (PI.f32)) s)
✓accuracy99.0%
(*.f32 r (PI.f32))
✓accuracy11.0%
#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)))
✓accuracy99.6%
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
✓accuracy99.4%
(/.f32 r (*.f32 s #s(literal -3 binary32)))
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))
✓accuracy99.0%
(*.f32 r (PI.f32))
Samples
321.0ms256×0valid
Compiler

Compiled 885 to 103 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 245.0ms
ival-mult: 94.0ms (38.3% of total)
ival-div: 57.0ms (23.2% of total)
ival-exp: 43.0ms (17.5% of total)
const: 34.0ms (13.9% of total)
ival-add: 12.0ms (4.9% of total)
ival-neg: 2.0ms (0.8% of total)
ival-pi: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series97.0ms (0.6%)

Memory
8.9MiB live, 88.1MiB allocated
Counts
30 → 624
Calls
Call 1
Inputs
#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 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 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) s) (patch (/.f32 #s(literal 1/8 binary32) 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 (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))) (patch (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))) (patch (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (patch (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)) (patch (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s) (patch (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) (patch (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) #<representation binary32>) () ())
#s(alt (*.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 -3 binary32))) (*.f32 s (PI.f32))))) (patch (*.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 -3 binary32))) (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.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 -3 binary32))) (*.f32 s (PI.f32))))) r) (patch (/.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 -3 binary32))) (*.f32 s (PI.f32))))) r) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 r s) #s(literal -3 binary32)) (patch (/.f32 (/.f32 r s) #s(literal -3 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.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 -3 binary32))) (*.f32 s (PI.f32))))) r)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 s (PI.f32))))) r)) #<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 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (patch (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))) (patch #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))) (patch (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))) #<representation binary32>) () ())
#s(alt #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))) (patch #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (patch (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())
Outputs
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* -1/3 (/ r s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (patch (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (patch (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* -1 (/ r s))) (taylor 0 r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* -1 (/ r s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
Calls

156 calls:

TimeVariablePointExpression
36.0ms
s
@0
(/ 1/8 s)
1.0ms
r
@-inf
(* (/ 1/8 s) (* (/ 1 (* r (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))))
1.0ms
r
@inf
(* (/ 1/8 s) (* (/ 1 (* r (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))))
1.0ms
s
@0
(* (/ 1/8 s) (* (/ 1 (* r (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))))
1.0ms
s
@0
(+ (* -28/81 (/ (PI) (* s s))) (+ (* 20/27 (/ (PI) (* s s))) (/ (* (* 2/3 (/ (PI) s)) -2/3) s)))

simplify580.0ms (3.6%)

Memory
15.6MiB live, 441.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 328×lower-fma.f64
10 328×lower-fma.f32
6 398×lower-*.f64
6 398×lower-*.f32
2 878×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07409329
122638957
269648915
080538646
Stop Event
1×iter limit
1×node limit
Counts
624 → 624
Calls
Call 1
Inputs
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/ 2 (* r (PI)))
(/ (+ (* -4/3 (/ r (* s (PI)))) (* 2 (/ 1 (PI)))) r)
(/ (+ (* r (- (* 5/9 (/ r (* (pow s 2) (PI)))) (* 4/3 (/ 1 (* s (PI)))))) (* 2 (/ 1 (PI)))) r)
(/ (+ (* r (- (* r (+ (* -14/81 (/ r (* (pow s 3) (PI)))) (* 5/9 (/ 1 (* (pow s 2) (PI)))))) (* 4/3 (/ 1 (* s (PI)))))) (* 2 (/ 1 (PI)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (PI)))
(/ 2 (* r (PI)))
(- (* 2 (/ 1 (* r (PI)))) (* 4/3 (/ 1 (* s (PI)))))
(- (+ (* 1/18 (/ r (* (pow s 2) (PI)))) (+ (* 1/2 (/ r (* (pow s 2) (PI)))) (* 2 (/ 1 (* r (PI)))))) (/ 4/3 (* s (PI))))
(- (+ (* -1/6 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/162 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/18 (/ r (* (pow s 2) (PI)))) (+ (* 1/2 (/ r (* (pow s 2) (PI)))) (* 2 (/ 1 (* r (PI)))))))) (/ 4/3 (* s (PI))))
(/ 2 (* r (PI)))
(- (* 2 (/ 1 (* r (PI)))) (* 4/3 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 4/3 (/ 1 (PI)))) s)) (* 2 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s)) (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) s)) (* 4/3 (/ 1 (PI)))) s)) (* 2 (/ 1 (* r (PI)))))
(/ 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 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 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))
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(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
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(/ 1 (* r (PI)))
(/ 1 (* r (PI)))
(/ 1 (* r (PI)))
(/ 1 (* r (PI)))
(/ 1 (* r (PI)))
(/ 1 (* r (PI)))
(/ 1 (* r (PI)))
(/ 1 (* r (PI)))
(/ 1 (* r (PI)))
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(/ 1 (* r (PI)))
(/ 1 (* r (PI)))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
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(* -1/3 (/ r s))
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(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
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(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
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1
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(* (pow s 4) (+ (* -324/7 (/ (PI) (pow r 2))) (* s (- (* s (- (* -1 (* s (+ (* -393660/343 (/ (PI) (pow r 5))) (+ (* 45/14 (/ (+ (* -17496/49 (/ (PI) (pow r 4))) (* 164025/343 (/ (PI) (pow r 4)))) r)) (* 26244/49 (/ (PI) (pow r 5))))))) (+ (* -17496/49 (/ (PI) (pow r 4))) (* 164025/343 (/ (PI) (pow r 4)))))) (* 7290/49 (/ (PI) (pow r 3)))))))
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(* s (+ (* 8/3 (/ (* (pow r 2) (PI)) s)) (* 4 (* r (PI)))))
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(* 4 (* r (* s (PI))))
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(* 4 (* r (* s (PI))))
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(* r (+ (* 4 (* s (PI))) (* r (- (* r (- (* -1 (* r (+ (* -28/81 (/ (PI) (pow s 2))) (+ (* 2/3 (/ (+ (* -16/9 (/ (PI) s)) (* 10/9 (/ (PI) s))) s)) (* 20/27 (/ (PI) (pow s 2))))))) (+ (* -16/9 (/ (PI) s)) (* 10/9 (/ (PI) s))))) (* -8/3 (PI))))))
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(* -324/7 (/ (* (pow s 4) (PI)) (pow r 2)))
(/ (+ (* -7290/49 (/ (* (pow s 5) (PI)) r)) (* -324/7 (* (pow s 4) (PI)))) (pow r 2))
(/ (+ (* -324/7 (* (pow s 4) (PI))) (* -1 (/ (- (+ (* -17496/49 (/ (* (pow s 6) (PI)) r)) (* 164025/343 (/ (* (pow s 6) (PI)) r))) (* -7290/49 (* (pow s 5) (PI)))) r))) (pow r 2))
(/ (+ (* -324/7 (* (pow s 4) (PI))) (* -1 (/ (- (* -1 (/ (- (+ (* -26244/49 (/ (* (pow s 7) (PI)) r)) (+ (* -45/14 (/ (* s (+ (* -17496/49 (* (pow s 6) (PI))) (* 164025/343 (* (pow s 6) (PI))))) r)) (* 393660/343 (/ (* (pow s 7) (PI)) r)))) (+ (* -17496/49 (* (pow s 6) (PI))) (* 164025/343 (* (pow s 6) (PI))))) r)) (* -7290/49 (* (pow s 5) (PI)))) r))) (pow r 2))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(* 8/3 (/ (* (pow r 2) (PI)) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -324/7 (/ (* (pow s 4) (PI)) (pow r 2)))
(* (pow s 4) (+ (* -7290/49 (/ (* s (PI)) (pow r 3))) (* -324/7 (/ (PI) (pow r 2)))))
(* (pow s 4) (+ (* -324/7 (/ (PI) (pow r 2))) (* s (- (* -1 (* s (+ (* -17496/49 (/ (PI) (pow r 4))) (* 164025/343 (/ (PI) (pow r 4)))))) (* 7290/49 (/ (PI) (pow r 3)))))))
(* (pow s 4) (+ (* -324/7 (/ (PI) (pow r 2))) (* s (- (* s (- (* -1 (* s (+ (* -393660/343 (/ (PI) (pow r 5))) (+ (* 45/14 (/ (+ (* -17496/49 (/ (PI) (pow r 4))) (* 164025/343 (/ (PI) (pow r 4)))) r)) (* 26244/49 (/ (PI) (pow r 5))))))) (+ (* -17496/49 (/ (PI) (pow r 4))) (* 164025/343 (/ (PI) (pow r 4)))))) (* 7290/49 (/ (PI) (pow r 3)))))))
(* 4 (* r (* s (PI))))
(* s (+ (* 8/3 (/ (* (pow r 2) (PI)) s)) (* 4 (* r (PI)))))
(* s (- (+ (* -1 (/ (+ (* -16/9 (* (pow r 3) (PI))) (* 10/9 (* (pow r 3) (PI)))) (pow s 2))) (* 4 (* r (PI)))) (* -8/3 (/ (* (pow r 2) (PI)) s))))
(* s (- (+ (* -1 (/ (+ (* -28/81 (* (pow r 4) (PI))) (+ (* 2/3 (* r (+ (* -16/9 (* (pow r 3) (PI))) (* 10/9 (* (pow r 3) (PI)))))) (* 20/27 (* (pow r 4) (PI))))) (pow s 3))) (* 4 (* r (PI)))) (+ (* -8/3 (/ (* (pow r 2) (PI)) s)) (+ (* -16/9 (/ (* (pow r 3) (PI)) (pow s 2))) (* 10/9 (/ (* (pow r 3) (PI)) (pow s 2)))))))
(* 4 (* r (* s (PI))))
(* -1 (* s (+ (* -4 (* r (PI))) (* -8/3 (/ (* (pow r 2) (PI)) s)))))
(* -1 (* s (+ (* -4 (* r (PI))) (* -1 (/ (- (+ (* -10/9 (/ (* (pow r 3) (PI)) s)) (* 16/9 (/ (* (pow r 3) (PI)) s))) (* -8/3 (* (pow r 2) (PI)))) s)))))
(* -1 (* s (+ (* -4 (* r (PI))) (* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (* r (+ (* -10/9 (* (pow r 3) (PI))) (* 16/9 (* (pow r 3) (PI))))) s)) (+ (* -28/81 (/ (* (pow r 4) (PI)) s)) (* 20/27 (/ (* (pow r 4) (PI)) s)))) (+ (* -10/9 (* (pow r 3) (PI))) (* 16/9 (* (pow r 3) (PI))))) s)) (* -8/3 (* (pow r 2) (PI)))) s)))))
(* 4 (* r (* s (PI))))
(* r (+ (* 8/3 (* r (PI))) (* 4 (* s (PI)))))
(* r (+ (* 4 (* s (PI))) (* r (- (* -1 (* r (+ (* -16/9 (/ (PI) s)) (* 10/9 (/ (PI) s))))) (* -8/3 (PI))))))
(* r (+ (* 4 (* s (PI))) (* r (- (* r (- (* -1 (* r (+ (* -28/81 (/ (PI) (pow s 2))) (+ (* 2/3 (/ (+ (* -16/9 (/ (PI) s)) (* 10/9 (/ (PI) s))) s)) (* 20/27 (/ (PI) (pow s 2))))))) (+ (* -16/9 (/ (PI) s)) (* 10/9 (/ (PI) s))))) (* -8/3 (PI))))))
(* -324/7 (/ (* (pow s 4) (PI)) (pow r 2)))
(/ (+ (* -7290/49 (/ (* (pow s 5) (PI)) r)) (* -324/7 (* (pow s 4) (PI)))) (pow r 2))
(/ (- (+ (* -324/7 (* (pow s 4) (PI))) (* -1 (/ (+ (* -17496/49 (* (pow s 6) (PI))) (* 164025/343 (* (pow s 6) (PI)))) (pow r 2)))) (* 7290/49 (/ (* (pow s 5) (PI)) r))) (pow r 2))
(/ (- (+ (* -324/7 (* (pow s 4) (PI))) (* -1 (/ (+ (* -393660/343 (* (pow s 7) (PI))) (+ (* 45/14 (* s (+ (* -17496/49 (* (pow s 6) (PI))) (* 164025/343 (* (pow s 6) (PI)))))) (* 26244/49 (* (pow s 7) (PI))))) (pow r 3)))) (+ (* -17496/49 (/ (* (pow s 6) (PI)) (pow r 2))) (+ (* 7290/49 (/ (* (pow s 5) (PI)) r)) (* 164025/343 (/ (* (pow s 6) (PI)) (pow r 2)))))) (pow r 2))
(* -324/7 (/ (* (pow s 4) (PI)) (pow r 2)))
(/ (+ (* -7290/49 (/ (* (pow s 5) (PI)) r)) (* -324/7 (* (pow s 4) (PI)))) (pow r 2))
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(/ (+ (* -324/7 (* (pow s 4) (PI))) (* -1 (/ (- (* -1 (/ (- (+ (* -26244/49 (/ (* (pow s 7) (PI)) r)) (+ (* -45/14 (/ (* s (+ (* -17496/49 (* (pow s 6) (PI))) (* 164025/343 (* (pow s 6) (PI))))) r)) (* 393660/343 (/ (* (pow s 7) (PI)) r)))) (+ (* -17496/49 (* (pow s 6) (PI))) (* 164025/343 (* (pow s 6) (PI))))) r)) (* -7290/49 (* (pow s 5) (PI)))) r))) (pow r 2))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
1
(+ 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)))
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Outputs
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(/ 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 (PI.f32) (*.f32 s s))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
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(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/18 binary32) (*.f32 r (/.f32 r s)) (*.f32 r #s(literal 1/3 binary32))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s) (*.f32 #s(literal 1/18 binary32) (*.f32 r r))) (neg.f32 s))) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) (/.f32 r (neg.f32 s))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 r (/.f32 r s)) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 r (*.f32 r r))) s)) s)) s))

rewrite716.0ms (4.5%)

Memory
-98.1MiB live, 563.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 416×lower-*.f64
5 378×lower-*.f32
3 730×lower-fma.f64
3 718×lower-fma.f32
3 432×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107790
0165790
1672718
26491718
08207695
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 548
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
(/.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 #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))
(fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))
(*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))))))
(fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)))
(fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))
(/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s)
(*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32))
(*.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 -3 binary32))) (*.f32 s (PI.f32)))))
(/.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 -3 binary32))) (*.f32 s (PI.f32))))) r)
(/.f32 (/.f32 r s) #s(literal -3 binary32))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 s (PI.f32))))) r))
(/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))
(*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
(*.f32 s (PI.f32))
(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(exp.f32 (/.f32 r (neg.f32 s)))
Outputs
(+.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32)))))
(+.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(+.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))))
(+.f32 (*.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(+.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32))))))
(+.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32))))))
(pow.f32 (/.f32 s (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 r (PI.f32)))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32))))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 r (PI.f32)))))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))) (*.f32 s #s(literal 8 binary32)))
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 s #s(literal 8 binary32)) (*.f32 r (PI.f32))))
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 r (PI.f32)) (*.f32 s #s(literal 8 binary32))))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 r (PI.f32))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s (*.f32 r (PI.f32))))
(/.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s (*.f32 r (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 r (PI.f32))))
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1/8 binary32)) (*.f32 s (*.f32 r (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 r (PI.f32)))) (neg.f32 s))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 r (PI.f32)))
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) s)) (*.f32 r (PI.f32)))
(/.f32 (*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))) #s(literal 1 binary32)) (*.f32 s #s(literal 8 binary32)))
(/.f32 (*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))) #s(literal -1/8 binary32)) (neg.f32 s))
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(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(/.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) s)
(/.f32 (*.f32 r #s(literal 1 binary32)) (*.f32 s #s(literal -3 binary32)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r)))
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(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
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(*.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1/3 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 r))) (/.f32 #s(literal 1/3 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 r s))) #s(literal -1/3 binary32)))
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(pow.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s))))
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32))))))) #s(literal -1 binary32))
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(/.f32 #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32)))))) #s(literal 1 binary32))
(/.f32 (neg.f32 #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32))))))) #s(literal -1 binary32))
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32))))))
(*.f32 #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32)))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 r r) (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)
(/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) (*.f32 r r)) s)
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(*.f32 (*.f32 r r) (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s))
(*.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 8/3 binary32) (*.f32 r r)))
(*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s))
(*.f32 (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 r r))
(*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) #s(literal 8/3 binary32))
(*.f32 (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s) r)
(*.f32 (*.f32 (*.f32 r r) #s(literal 8/3 binary32)) (/.f32 (PI.f32) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 r (fma.f32 r (fma.f32 (neg.f32 r) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32)))))))))
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 r (fma.f32 r (fma.f32 (neg.f32 r) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32)))))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 r (fma.f32 r (fma.f32 (neg.f32 r) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32)))))))))
(/.f32 #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 r (fma.f32 r (fma.f32 (neg.f32 r) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (neg.f32 #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 r (fma.f32 r (fma.f32 (neg.f32 r) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32)))))))) #s(literal -1 binary32))
#s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 r (fma.f32 r (fma.f32 (neg.f32 r) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32)))))))
(*.f32 #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 r (fma.f32 r (fma.f32 (neg.f32 r) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))))))) #s(literal 1 binary32))
(*.f32 s (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(*.f32 (PI.f32) s)
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) s))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) s))
(*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 s #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 s (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1/3 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 r))) (/.f32 #s(literal 1/3 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 r s))) #s(literal -1/3 binary32)))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32))
(pow.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 r))) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r s)))

eval165.0ms (1%)

Memory
-14.7MiB live, 256.4MiB allocated
Compiler

Compiled 38 077 to 3 142 computations (91.7% saved)

prune790.0ms (4.9%)

Memory
32.1MiB live, 1 305.3MiB allocated
Pruning

94 alts after pruning (87 fresh and 7 done)

PrunedKeptTotal
New1 205651 270
Fresh162238
Picked145
Done336
Total1 225941 319
Accuracy
99.9%
Counts
1 319 → 94
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.1%
(fma.f32 (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.0%
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.1%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 r s) #s(literal 6 binary32)) (PI.f32))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
11.3%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
12.6%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 #s(approx (- (/ -1/18 (PI)) (/ (+ (* (/ (* r r) (* s (PI))) 1/972) (* (/ r (PI)) -1/108)) s)) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/18 binary32) (PI.f32)))) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.1%
(/.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)) r)) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
67.1%
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
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 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))) (*.f32 s #s(literal 8 binary32))))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
12.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #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 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 s #s(literal 8 binary32)) (*.f32 r (PI.f32)))))
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 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32) (*.f32 (*.f32 s (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s))) (*.f32 (*.f32 s (PI.f32)) (PI.f32)))) r))
96.5%
#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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/3 binary32) s)) (neg.f32 r)) (*.f32 s (PI.f32))))) r))
95.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) (/.f32 r #s(literal 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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32)))) (*.f32 s (PI.f32))))) r))
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 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))) 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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -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 (/.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))
11.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (/ (/ r s) -3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
4.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))) s))
4.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s #s(approx (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))))
22.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) (*.f32 #s(literal 8/3 binary32) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
15.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (*.f32 r r) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
22.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 s r) (*.f32 s (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (*.f32 s r) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
28.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (/.f32 (*.f32 (fma.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (*.f32 (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s)) #s(literal 64/9 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32))) #s(literal 16 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))))) s) (fma.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (-.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32))) #s(literal 16 binary32)))))))
48.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (/.f32 (*.f32 (*.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 r (-.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)))) s) (*.f32 r (-.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)))))))
70.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) #s(literal 32/81 binary32)) (*.f32 (*.f32 #s(literal -2/3 binary32) r) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r (*.f32 r r))) #s(literal 2/3 binary32)) s)))) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)))))
22.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r (PI.f32))) #s(literal -8/3 binary32)) s)) (neg.f32 s)))))
22.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32)))) s))))
22.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) #s(literal 8/3 binary32)))))))
22.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 8/3 binary32) (*.f32 r r))))))))
✓22.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
59.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32))))))))))
22.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (* (* r r) (* (/ (PI) s) 8/3)) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s))))))))
57.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (-.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32)))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32))) (*.f32 s s)))))))
22.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)))))))
15.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 r (fma.f32 r (fma.f32 (neg.f32 r) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32)))))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 20/27 binary32) (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (/.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
61.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2/3 binary32) s)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
61.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
61.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 #s(literal 20/27 binary32) s) (/.f32 (PI.f32) s) (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (/.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
61.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 #s(literal -2/3 binary32) s) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s s)) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 20/27 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
20.0%
#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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (PI.f32) (/.f32 #s(literal 20/27 binary32) (*.f32 s s)) (fma.f32 #s(literal 2/3 binary32) (*.f32 (/.f32 (PI.f32) s) (/.f32 #s(literal -2/3 binary32) s)) (*.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
20.0%
#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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal 20/27 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (/.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal -28/81 binary32)) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 20/27 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2/3 binary32)) s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 (/.f32 (PI.f32) s) (/.f32 #s(literal -2/3 binary32) s)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2/3 binary32)) (/.f32 #s(literal 1 binary32) s)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2/3 binary32) s)) (/.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
61.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 (/.f32 #s(literal 20/27 binary32) s) (/.f32 (PI.f32) s) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
20.0%
#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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal 20/27 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 #s(literal -2/3 binary32) s)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
✓19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 #s(approx (* (* 2/3 (/ (PI) s)) -2/3) (/.f32 (*.f32 (PI.f32) #s(literal -4/9 binary32)) s)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (*.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2/3 binary32) s))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (*.f32 (/.f32 #s(literal -2/3 binary32) s) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (*.f32 #s(literal 2/3 binary32) (/.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2/3 binary32)) s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (*.f32 #s(literal 2/3 binary32) (*.f32 (/.f32 (PI.f32) s) (/.f32 #s(literal -2/3 binary32) s))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2/3 binary32)) (/.f32 #s(literal 1 binary32) s))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) #s(approx (/ (* (* 2/3 (/ (PI) s)) -2/3) s) (/.f32 (*.f32 (PI.f32) #s(literal -4/9 binary32)) (*.f32 s s))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 2/3 binary32) (/.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2/3 binary32)) s) (/.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
23.0%
#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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)) (*.f32 s s) (*.f32 s (*.f32 (PI.f32) #s(literal 20/27 binary32)))) (*.f32 s (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
29.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
23.0%
#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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) s (*.f32 (*.f32 s s) (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))) (*.f32 (*.f32 s s) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
20.0%
#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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) #s(approx (+ (* 20/27 (/ (PI) (* s s))) (/ (* (* 2/3 (/ (PI) s)) -2/3) s)) (/.f32 (*.f32 (PI.f32) #s(literal 8/27 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
12.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (/.f32 (*.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)) (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 s s))) (-.f32 (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (+.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 20/27 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (/.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (*.f32 s s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (+.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (/.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (*.f32 s s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
19.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
61.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 #s(approx (+ (* -28/81 (/ (PI) (* s s))) (+ (* 20/27 (/ (PI) (* s s))) (/ (* (* 2/3 (/ (PI) s)) -2/3) s))) (/.f32 (*.f32 (PI.f32) #s(literal -4/81 binary32)) (*.f32 s s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
28.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
14.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
14.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))) r))))))))
8.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
✓11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
✓11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
✓11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
12.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #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))))))
11.5%
#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 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
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 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
99.0%
#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 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
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) s) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (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 #s(literal 1/8 binary32) s) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
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) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))))))
11.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))))))
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))) #s(approx (* (/ 1/8 s) (* (/ 1 (* r (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3)))))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))))
Compiler

Compiled 8 675 to 2 986 computations (65.6% saved)

regimes142.0ms (0.9%)

Memory
-14.7MiB live, 303.9MiB allocated
Counts
164 → 1
Calls
Call 1
Inputs
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) #s(literal 32/81 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32))))) (neg.f32 s)) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))) (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 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 s #s(literal 8 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 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -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))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))) (*.f32 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) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 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))) #s(approx (/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 s r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (PI.f32))))
(*.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 (/.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)))) (/.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 (/.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))
#s(approx (+ (/ (* 1/4 (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 s (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -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)))))
#s(approx (+ (/ (* 1/4 (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 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))) r))
(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)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 r s) #s(literal 6 binary32)) (PI.f32))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32) (*.f32 (*.f32 s (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s))) (*.f32 (*.f32 s (PI.f32)) (PI.f32)))) 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)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(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 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
(/.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)) r)) (*.f32 s (*.f32 (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 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/3 binary32) s)) (neg.f32 r)) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32)))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) (/.f32 r #s(literal 3 binary32))) (*.f32 s (PI.f32))))) r))
(fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 (fma.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.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))))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))))) (*.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))))) (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
(*.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 #s(literal 1 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)))
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 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s)))
Calls

3 calls:

47.0ms
r
45.0ms
s
35.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
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)

regimes105.0ms (0.7%)

Memory
10.1MiB live, 205.6MiB allocated
Counts
129 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
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(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 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 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 #s(literal 1/18 binary32) (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1 binary32)))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (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))
#s(approx (+ (/ (* 1/4 (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) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (/ (/ r s) -3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (/.f32 (*.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)) (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 s s))) (-.f32 (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
(+.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)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (/.f32 (*.f32 (fma.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (*.f32 (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s)) #s(literal 64/9 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32))) #s(literal 16 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))))) s) (fma.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (-.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32))) #s(literal 16 binary32)))))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 #s(approx (- (/ -1/18 (PI)) (/ (+ (* (/ (* r r) (* s (PI))) 1/972) (* (/ r (PI)) -1/108)) s)) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/18 binary32) (PI.f32)))) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.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)))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) #s(literal 32/81 binary32)) (*.f32 (*.f32 #s(literal -2/3 binary32) r) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r (*.f32 r r))) #s(literal 2/3 binary32)) s)))) (neg.f32 s))) (neg.f32 s))) (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))) #s(approx (* (/ 1/8 s) (* (/ 1 (* r (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3)))))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 1/8 binary32) (*.f32 s (*.f32 r (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) #s(literal 32/81 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32))))) (neg.f32 s)) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))) (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 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 s #s(literal 8 binary32)) (*.f32 r (PI.f32)))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (/ 1/8 s) (* (/ 1 (* r (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3)))))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))))
Calls

3 calls:

34.0ms
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
99.5%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)

regimes183.0ms (1.1%)

Memory
6.3MiB live, 124.5MiB allocated
Counts
125 → 3
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
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(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 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 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 #s(literal 1/18 binary32) (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1 binary32)))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (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))
#s(approx (+ (/ (* 1/4 (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) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (/ (/ r s) -3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (/.f32 (*.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)) (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 s s))) (-.f32 (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
(+.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)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (/.f32 (*.f32 (fma.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (*.f32 (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s)) #s(literal 64/9 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32))) #s(literal 16 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))))) s) (fma.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (-.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32))) #s(literal 16 binary32)))))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 #s(approx (- (/ -1/18 (PI)) (/ (+ (* (/ (* r r) (* s (PI))) 1/972) (* (/ r (PI)) -1/108)) s)) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/18 binary32) (PI.f32)))) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.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)))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/108 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/972 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 s (PI.f32))))) s)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) #s(literal 32/81 binary32)) (*.f32 (*.f32 #s(literal -2/3 binary32) r) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 r (*.f32 r r))) #s(literal 2/3 binary32)) s)))) (neg.f32 s))) (neg.f32 s))) (neg.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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32))))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (/.f32 (*.f32 (fma.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (*.f32 (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s)) #s(literal 64/9 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32))) #s(literal 16 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))))) s) (fma.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (-.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32))) #s(literal 16 binary32)))))))
Calls

3 calls:

110.0ms
r
37.0ms
s
24.0ms
(+.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
77.5%3s
70.3%1r
70.3%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)

regimes118.0ms (0.7%)

Memory
-26.7MiB live, 168.0MiB allocated
Counts
118 → 2
Calls
Call 1
Inputs
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)) (*.f32 s s) (*.f32 s (*.f32 (PI.f32) #s(literal 20/27 binary32)))) (*.f32 s (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2/3 binary32)) (/.f32 #s(literal 1 binary32) s))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* r (* s (* (PI) 6)))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 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 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 #s(literal 1/18 binary32) (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1 binary32)))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (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))
#s(approx (+ (/ (* 1/4 (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) s) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 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 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (* (/ r s) -1/3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(approx (exp (/ (/ r s) -3)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (/.f32 (*.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)) (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 s s))) (-.f32 (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
(+.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)))
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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32))))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Calls

3 calls:

32.0ms
r
31.0ms
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
61.8%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)))
61.8%1r
72.0%2s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes60.0ms (0.4%)

Memory
23.4MiB live, 59.5MiB allocated
Counts
105 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
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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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32))))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)) (*.f32 s s) (*.f32 s (*.f32 (PI.f32) #s(literal 20/27 binary32)))) (*.f32 s (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Calls

1 calls:

51.0ms
s
Results
AccuracySegmentsBranch
65.2%2s
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes40.0ms (0.2%)

Memory
-16.2MiB live, 68.6MiB allocated
Counts
97 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) #s(literal 8/3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r (PI.f32))) #s(literal -8/3 binary32)) s)) (neg.f32 s)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 #s(literal 20/27 binary32) s) (/.f32 (PI.f32) s) (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (/.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) s (*.f32 (*.f32 s s) (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))) (*.f32 (*.f32 s s) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32))))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) s (*.f32 (*.f32 s s) (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))) (*.f32 (*.f32 s s) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Calls

1 calls:

32.0ms
s
Results
AccuracySegmentsBranch
65.2%2s
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes56.0ms (0.3%)

Memory
4.2MiB live, 115.3MiB 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) #s(literal 8/3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r (PI.f32))) #s(literal -8/3 binary32)) s)) (neg.f32 s)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2/3 binary32) s)) (/.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (PI.f32) (/.f32 #s(literal 20/27 binary32) (*.f32 s s)) (fma.f32 #s(literal 2/3 binary32) (*.f32 (/.f32 (PI.f32) s) (/.f32 #s(literal -2/3 binary32) s)) (*.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal 20/27 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (/.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 #s(literal 20/27 binary32) s) (/.f32 (PI.f32) s) (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (/.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 #s(literal 20/27 binary32) s) (/.f32 (PI.f32) s) (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (/.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Calls

2 calls:

26.0ms
s
21.0ms
(+.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
61.8%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)))
61.8%1s
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes84.0ms (0.5%)

Memory
37.7MiB live, 188.8MiB 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 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) s) #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (* (* r r) (* (/ (PI) s) 8/3)) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 8/3 binary32) (*.f32 r 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) #s(literal 8/3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r (PI.f32))) #s(literal -8/3 binary32)) s)) (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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32)) (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32))) (neg.f32 s)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 #s(literal -2/3 binary32) s)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 (/.f32 #s(literal 20/27 binary32) s) (/.f32 (PI.f32) s) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2/3 binary32) s)) (/.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (PI.f32) (/.f32 #s(literal 20/27 binary32) (*.f32 s s)) (fma.f32 #s(literal 2/3 binary32) (*.f32 (/.f32 (PI.f32) s) (/.f32 #s(literal -2/3 binary32) s)) (*.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (PI.f32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal 20/27 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (/.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 (/.f32 #s(literal 20/27 binary32) s) (/.f32 (PI.f32) s) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Calls

3 calls:

27.0ms
r
27.0ms
s
22.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
61.8%1s
61.8%1r
61.8%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)

regimes77.0ms (0.5%)

Memory
-6.1MiB live, 154.2MiB allocated
Counts
91 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 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) s) #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (* (* r r) (* (/ (PI) s) 8/3)) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 8/3 binary32) (*.f32 r 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) #s(literal 8/3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (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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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 #s(literal -2/3 binary32) s)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2/3 binary32) s)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Calls

3 calls:

24.0ms
r
24.0ms
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
61.8%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)))
61.8%1s
61.8%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes66.0ms (0.4%)

Memory
-8.8MiB live, 71.2MiB allocated
Counts
68 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 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) s) #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (* (* r r) (* (/ (PI) s) 8/3)) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 8/3 binary32) (*.f32 r 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) #s(literal 8/3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r (PI.f32))) #s(literal -8/3 binary32)) s)) (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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32)) (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32))) (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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (*.f32 s r) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 s r) (*.f32 s (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)))))))
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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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 #s(literal -2/3 binary32) s) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Calls

3 calls:

27.0ms
s
20.0ms
r
14.0ms
(+.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
61.8%1r
61.8%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)))
61.8%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes62.0ms (0.4%)

Memory
-21.4MiB live, 107.8MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s #s(approx (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (-.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32)))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32))) (*.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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 #s(approx (+ (* -28/81 (/ (PI) (* s s))) (+ (* 20/27 (/ (PI) (* s s))) (/ (* (* 2/3 (/ (PI) s)) -2/3) s))) (/.f32 (*.f32 (PI.f32) #s(literal -4/81 binary32)) (*.f32 s s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))) (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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32))))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/9 binary32)) (PI.f32)) (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
#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 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) #s(approx (+ (* 20/27 (/ (PI) (* s s))) (/ (* (* 2/3 (/ (PI) s)) -2/3) s)) (/.f32 (*.f32 (PI.f32) #s(literal 8/27 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (+.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (*.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (*.f32 s (*.f32 s s)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) (/.f32 #s(literal 1 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 r (fma.f32 r (fma.f32 (neg.f32 r) (fma.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s))) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32)))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 (/.f32 (PI.f32) s) (/.f32 #s(literal -2/3 binary32) s)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -2/3 binary32)) s) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 #s(approx (+ (* -28/81 (/ (PI) (* s s))) (+ (* 20/27 (/ (PI) (* s s))) (/ (* (* 2/3 (/ (PI) s)) -2/3) s))) (/.f32 (*.f32 (PI.f32) #s(literal -4/81 binary32)) (*.f32 s s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Calls

3 calls:

23.0ms
s
19.0ms
r
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
61.2%1s
61.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
61.2%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes45.0ms (0.3%)

Memory
1.0MiB live, 77.9MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 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) s) #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (* (* r r) (* (/ (PI) s) 8/3)) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 8/3 binary32) (*.f32 r 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) #s(literal 8/3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r (PI.f32))) #s(literal -8/3 binary32)) s)) (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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32)) (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32))) (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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (*.f32 s r) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 s r) (*.f32 s (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (*.f32 r r) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) (*.f32 #s(literal 8/3 binary32) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (/.f32 #s(literal 2 binary32) (PI.f32))) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (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 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 s (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)) (*.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (*.f32 s (*.f32 s s)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s #s(approx (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (-.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32)))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32))) (*.f32 s 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (-.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32)))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32))) (*.f32 s s)))))))
Calls

3 calls:

17.0ms
s
13.0ms
r
10.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
57.6%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)))
57.6%1s
57.6%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes43.0ms (0.3%)

Memory
-2.1MiB live, 76.5MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 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) s) #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (* (* r r) (* (/ (PI) s) 8/3)) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 8/3 binary32) (*.f32 r 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) #s(literal 8/3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r (PI.f32))) #s(literal -8/3 binary32)) s)) (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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32)) (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32))) (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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (*.f32 s r) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 s r) (*.f32 s (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (*.f32 r r) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) (*.f32 #s(literal 8/3 binary32) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (/.f32 #s(literal 2 binary32) (PI.f32))) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (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 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 s (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)) (*.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (*.f32 s (*.f32 s s)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s #s(approx (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)) (/.f32 (*.f32 (*.f32 r s) #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
Calls

3 calls:

14.0ms
r
13.0ms
s
10.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
28.8%1s
28.8%1r
28.8%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)

regimes32.0ms (0.2%)

Memory
24.8MiB live, 63.8MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 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) s) #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (* (* r r) (* (/ (PI) s) 8/3)) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 8/3 binary32) (*.f32 r 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) #s(literal 8/3 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r (PI.f32))) #s(literal -8/3 binary32)) s)) (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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32)) (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32))) (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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (*.f32 s r) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 s r) (*.f32 s (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (*.f32 r r) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (fma.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) (*.f32 #s(literal 8/3 binary32) s) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32)))) s))))
Calls

3 calls:

10.0ms
r
10.0ms
s
8.0ms
(+.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
22.5%1s
22.5%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)))
22.5%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes22.0ms (0.1%)

Memory
7.7MiB live, 46.0MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)))))))
Calls

3 calls:

8.0ms
r
7.0ms
s
5.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
22.1%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)))
22.1%1r
22.1%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes21.0ms (0.1%)

Memory
8.9MiB live, 46.5MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))) r))))))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))) r))))))))
Calls

3 calls:

7.0ms
r
7.0ms
(+.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)))
6.0ms
s
Results
AccuracySegmentsBranch
22.0%2r
22.1%2s
22.1%2(+.f32 (/.f32 (*.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)

regimes15.0ms (0.1%)

Memory
-12.6MiB live, 28.4MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.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 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 4 binary32) s)))))))
Calls

2 calls:

9.0ms
s
5.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
22.1%2(+.f32 (/.f32 (*.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)))
22.1%2s
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes16.0ms (0.1%)

Memory
-2.2MiB live, 35.6MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 4 binary32) s)))))))
Calls

3 calls:

5.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
5.0ms
r
5.0ms
s
Results
AccuracySegmentsBranch
14.8%1r
14.8%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)))
14.8%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes14.0ms (0.1%)

Memory
-5.9MiB live, 30.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
Calls

3 calls:

6.0ms
r
4.0ms
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
11.0%1s
11.0%1r
11.0%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)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes10.0ms (0.1%)

Memory
25.6MiB live, 25.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
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
11.0%1s
11.0%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)))
11.0%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes5.0ms (0%)

Memory
-27.1MiB live, 11.8MiB 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:

2.0ms
r
1.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
1.0ms
s
Results
AccuracySegmentsBranch
11.0%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)))
11.0%1s
11.0%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

bsearch1.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.0297071275386944e-12
8.963757687496798e-12
0.0ms
5.421719782061874e-20
1.0824904256054025e-19
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
5.421719782061874e-20
1.0824904256054025e-19
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
5.421719782061874e-20
1.0824904256054025e-19
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
5.421719782061874e-20
1.0824904256054025e-19
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.3441549305895362e-12
1.5060714177519974e-12
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.1227095525842696e-28
4.471251958916531e-28
Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify46.0ms (0.3%)

Memory
-2.3MiB live, 80.9MiB allocated
Algorithm
1×egg-herbie
Rules
168×*-commutative_binary32
84×neg-mul-1_binary32
60×unsub-neg_binary32
56×distribute-rgt-neg-in_binary32
54×distribute-lft-neg-in_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03162794
14012794
24252794
34582794
44812794
55022794
65642794
76522794
86612794
96632794
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -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))) #s(approx (* (/ 1/8 s) (* (/ 1 (* r (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3)))))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))))
(if (<=.f32 s #s(literal 7737125/77371252455336267181195264 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32)))))))))) (if (<=.f32 s #s(literal 11529215/2305843009213693952 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (/.f32 (*.f32 (fma.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (*.f32 (*.f32 (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s) (/.f32 (*.f32 (*.f32 r r) (PI.f32)) s)) #s(literal 64/9 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32))) #s(literal 16 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))))) s) (fma.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (-.f32 (*.f32 r (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)) (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32))) #s(literal 16 binary32)))))))))
(if (<=.f32 s #s(literal 7737125/77371252455336267181195264 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32)))))))))) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32))) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (/.f32 s (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))))
(if (<=.f32 s #s(literal 7737125/77371252455336267181195264 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32)))))))))) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)) (*.f32 s s) (*.f32 s (*.f32 (PI.f32) #s(literal 20/27 binary32)))) (*.f32 s (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))))
(if (<=.f32 s #s(literal 7737125/77371252455336267181195264 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (fma.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal -2/3 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal -8/3 binary32)))))))))) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 20/27 binary32)) s (*.f32 (*.f32 s s) (*.f32 (/.f32 (PI.f32) s) #s(literal -4/9 binary32)))) (*.f32 (*.f32 s s) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 #s(literal 20/27 binary32) s) (/.f32 (PI.f32) s) (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)) (/.f32 (*.f32 (PI.f32) #s(literal -28/81 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 (/.f32 #s(literal 20/27 binary32) s) (/.f32 (PI.f32) s) (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -2/3 binary32)) (*.f32 s s)))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 (PI.f32) s) (*.f32 #s(literal 2/3 binary32) (/.f32 #s(literal -2/3 binary32) s)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 (/.f32 #s(literal -2/3 binary32) s) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (/.f32 (PI.f32) (*.f32 s s)) #s(literal 32/81 binary32))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 #s(approx (+ (* -28/81 (/ (PI) (* s s))) (+ (* 20/27 (/ (PI) (* s s))) (/ (* (* 2/3 (/ (PI) s)) -2/3) s))) (/.f32 (*.f32 (PI.f32) #s(literal -4/81 binary32)) (*.f32 s s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (-.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 4 binary32)))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32))) (*.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 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 (*.f32 r (fma.f32 r (/.f32 (*.f32 (PI.f32) #s(literal 8/3 binary32)) s) (*.f32 (PI.f32) #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s (*.f32 r (fma.f32 (PI.f32) #s(literal 4 binary32) (/.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) s)))))))
(if (<=.f32 s #s(literal 6917529/4611686018427387904 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s))))))) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) #s(approx (* s (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3)))) (*.f32 r (*.f32 r (fma.f32 (PI.f32) #s(literal 8/3 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))) r)))))))))
(if (<=.f32 s #s(literal 8307675/20769187434139310514121985316880384 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 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 s #s(approx (+ (* r (* (PI) 4)) (* (* r r) (* (/ (PI) s) 8/3))) (*.f32 #s(literal 8/3 binary32) (/.f32 (*.f32 r (*.f32 r (PI.f32))) s))))))) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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) #s(approx (/ s (+ (* (* -7/324 r) (/ r (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 #s(literal 8/3 binary32) r (*.f32 #s(literal 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 1/4 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 #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
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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 s (PI.f32)))))

soundness1.7s (10.8%)

Memory
0.7MiB live, 1 238.8MiB allocated
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
10 328×lower-fma.f64
10 328×lower-fma.f32
7 630×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094310157
129199849
083649561
02421900
17561845
221131788
359491788
082201755
094612
0157620
1578577
25502562
08843557
07409329
122638957
269648915
080538646
0107790
0165790
1672718
26491718
08207695
0111697
0168691
1710661
26516661
08205657
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 2 413 to 1 036 computations (57.1% saved)

preprocess170.0ms (1.1%)

Memory
14.0MiB live, 366.7MiB allocated
Compiler

Compiled 1 924 to 456 computations (76.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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