Disney BSSRDF, PDF of scattering profile

Time bar (total: 15.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze62.0ms (0.4%)

Memory
29.8MiB live, 66.7MiB allocated
Algorithm
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)

sample2.6s (16.9%)

Memory
-175.2MiB live, 3 004.3MiB allocated
Samples
2.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-div: 634.0ms (36.4% of total)
ival-mult: 552.0ms (31.7% of total)
const: 147.0ms (8.4% of total)
ival-exp: 137.0ms (7.9% of total)
ival-<=: 73.0ms (4.2% of total)
ival-<: 42.0ms (2.4% of total)
ival-neg: 40.0ms (2.3% of total)
ival-add: 34.0ms (2% of total)
exact: 30.0ms (1.7% of total)
ival-pi: 29.0ms (1.7% of total)
ival-and: 23.0ms (1.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain313.0ms (2%)

Memory
-31.4MiB live, 611.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-2(8.000012712727766e-6 0.002286891918629408)(/.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-(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
00-0-(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 6 binary32) (PI.f32))
00-0-(neg.f32 r)
00-0-s
00-0-(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
02(6.79490312904818e-7 0.0013953081797808409)0-(exp.f32 (/.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)
07(6.615952968597412 1749.652099609375)0-(exp.f32 (/.f32 (neg.f32 r) s))
00-0-(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 3 binary32) s)
00-0-(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
00-0-#s(literal 6 binary32)
00-0-r
00-0-#s(literal 3 binary32)
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 r) s))sensitivity72
exp.f32(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))sensitivity26
Confusion
Predicted +Predicted -
+21
-6247
Precision
0.25
Recall
0.6666666666666666
Confusion?
Predicted +Predicted MaybePredicted -
+210
-61246
Precision?
0.3
Recall?
1.0
Freqs
test
numberfreq
0248
17
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
102.0ms512×0valid
Compiler

Compiled 331 to 79 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-exp: 37.0ms (45.3% of total)
ival-mult: 23.0ms (28.2% of total)
ival-div: 13.0ms (15.9% of total)
ival-pi: 2.0ms (2.5% of total)
ival-add: 2.0ms (2.5% of total)
ival-neg: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess302.0ms (2%)

Memory
35.3MiB live, 306.5MiB allocated
Algorithm
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
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))))
Compiler

Compiled 35 to 25 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.4MiB 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
99.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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)

simplify228.0ms (1.5%)

Memory
-19.6MiB live, 337.0MiB allocated
Algorithm
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
iter limit
node limit
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)

localize60.0ms (0.4%)

Memory
6.2MiB live, 132.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.2734375
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy0.28515625
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy0.33984375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
39.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 11.0ms (38.6% of total)
ival-div: 10.0ms (35.1% 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)

series33.0ms (0.2%)

Memory
-5.1MiB live, 72.0MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
4.0ms
s
@inf
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms
s
@0
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms
s
@0
(* (* (* 2 (PI)) s) r)
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)))
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)))

simplify279.0ms (1.8%)

Memory
31.3MiB live, 424.8MiB allocated
Algorithm
egg-herbie
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
5 362×lower-*.f64
5 362×lower-*.f32
2 476×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite367.0ms (2.4%)

Memory
-41.6MiB live, 490.9MiB allocated
Rules
6 444×lower-fma.f64
6 444×lower-fma.f32
6 424×lower-/.f64
6 416×lower-/.f32
4 548×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

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

eval86.0ms (0.6%)

Memory
27.3MiB live, 98.5MiB allocated
Compiler

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

prune133.0ms (0.9%)

Memory
11.4MiB live, 279.7MiB allocated
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New67428702
Fresh000
Picked101
Done000
Total67528703
Accuracy
99.6%
Counts
703 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(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)))))
98.5%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
98.5%
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.3%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
99.3%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) r) r)
98.9%
(/.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 (PI.f32) #s(literal 6 binary32)))) (*.f32 r s))
99.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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)))
99.2%
(+.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)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32))))))
99.0%
(+.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)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
9.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
10.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
10.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
9.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
10.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
9.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
98.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
99.3%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
7.7%
#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 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (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))
8.6%
#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 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
8.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
9.5%
#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 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
99.2%
#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 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.6%
#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 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
99.2%
#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 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
Compiler

Compiled 1 836 to 1 150 computations (37.4% saved)

simplify292.0ms (1.9%)

Memory
-32.5MiB live, 223.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 r (*.f32 s #s(literal -3 binary32)))
cost-diff0
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
cost-diff704
(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)))))
cost-diff0
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff0
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
cost-diff96
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff0
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
cost-diff0
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
cost-diff640
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
cost-diff0
(*.f32 s (PI.f32))
cost-diff0
(*.f32 r (*.f32 s (PI.f32)))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
cost-diff0
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff160
(/.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))
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 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Rules
4 818×lower-fma.f64
4 808×lower-fma.f32
4 132×lower-*.f64
4 092×lower-*.f32
3 860×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089752
0148759
1273725
2700662
31984659
44099659
54793659
65332659
75751659
85883659
95901659
106680659
116749659
127056659
137082659
147082659
157112659
08203649
Stop Event
iter limit
node limit
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 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(*.f32 r #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
r
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
#s(literal 5/72 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
#s(literal -7/324 binary32)
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 r r)
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
#s(literal 1/144 binary32)
(*.f32 s (PI.f32))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(fma.f32 (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)))))
(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 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
(*.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)
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 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s))))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 (neg.f32 r) s)
(/.f32 r (neg.f32 s))
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.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 (exp.f32 (/.f32 (*.f32 r #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 (*.f32 r #s(literal -1/3 binary32)) s)))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(*.f32 r #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 #s(literal 6 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
r
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
#s(literal 5/72 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 r (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
#s(literal -7/324 binary32)
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 r r)
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (/.f32 (*.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32)) r) (PI.f32)) (*.f32 s 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 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s))))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 (neg.f32 r) s)
(/.f32 r (neg.f32 s))
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (/.f32 (*.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32)) r) (PI.f32)) (*.f32 s s))) r))
(/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (/.f32 (*.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32)) r) (PI.f32)) (*.f32 s s))) r)
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (/.f32 (*.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32)) r) (PI.f32)) (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
#s(literal 1/144 binary32)
(*.f32 s (PI.f32))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(fma.f32 (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 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (PI.f32)))
(PI.f32)
(*.f32 r s)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)

localize256.0ms (1.7%)

Memory
10.8MiB live, 594.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.27341546470008393
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
accuracy0.28515625
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy0.3572800424907003
(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)))))
accuracy0.39681625976844204
(*.f32 (PI.f32) (*.f32 r s))
accuracy0.33984375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy0.33984375
(*.f32 s (PI.f32))
accuracy0.3973239892891727
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
accuracy28.558647038733927
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
accuracy0.43569479025633806
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
accuracy0.671351887983746
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
accuracy13.51061332102117
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
accuracy28.920039678509582
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
accuracy0.23046875
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
accuracy0.2734375
(*.f32 r (*.f32 s (PI.f32)))
accuracy0.33984375
(*.f32 s (PI.f32))
accuracy29.142326002615075
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
accuracy0.26953125
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.2734375
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy0.3125
(*.f32 r #s(literal -1/3 binary32))
accuracy0.33984375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
153.0ms256×0valid
Compiler

Compiled 675 to 80 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult: 40.0ms (32% of total)
ival-div: 35.0ms (28% of total)
const: 23.0ms (18.4% of total)
ival-exp: 15.0ms (12% of total)
ival-add: 8.0ms (6.4% of total)
ival-neg: 2.0ms (1.6% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.4%)

Memory
-7.2MiB live, 121.2MiB allocated
Counts
25 → 564
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 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 s (PI.f32))) (patch (*.f32 r (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) (patch (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s) (patch (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (patch (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) #<representation binary32>) () ())
#s(alt (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (patch (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))) #<representation binary32>) () ())
#s(alt (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))))) (patch (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))))) #<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 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (patch (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (*.f32 r #s(literal -1/3 binary32)) (patch (*.f32 r #s(literal -1/3 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (patch (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)) (patch #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<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 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)) (taylor -inf r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
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#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
Calls

141 calls:

TimeVariablePointExpression
7.0ms
r
@0
(+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI))))
6.0ms
s
@-inf
(+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI))))
1.0ms
r
@0
(+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI))))
1.0ms
r
@inf
(/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s)
1.0ms
r
@inf
(+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI))))

simplify302.0ms (2%)

Memory
32.3MiB live, 497.4MiB allocated
Algorithm
egg-herbie
Rules
15 158×lower-fma.f64
15 158×lower-fma.f32
5 184×lower-*.f64
5 184×lower-*.f32
3 852×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05438017
116357675
246487503
083867310
Stop Event
iter limit
node limit
Counts
564 → 564
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))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* r (- (* 1/8 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -1/24 (/ r (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (+ (* -1/4 (/ r s)) (* 1/8 (/ (pow r 2) (pow s 2)))))
(+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* -1 (/ (+ (* -1/8 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow r 3) s)) (* 1/8 (pow r 2))) s)) (* 1/4 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))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(/ 1/4 (* r (PI)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (/ 5/72 (* r (* (pow s 2) (PI)))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (/ 1/6 (* (pow r 2) (* s (PI)))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 3))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI))))
(- (+ (* -7/324 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
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(* 1/8 (/ (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))
(* 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)))
Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.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)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (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 (/.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 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (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)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 7/324 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/.f32 (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32)))))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (*.f32 #s(literal -1/16 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
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(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/1296 binary32)) (*.f32 s (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))

rewrite339.0ms (2.2%)

Memory
3.8MiB live, 408.4MiB allocated
Rules
5 392×lower-*.f64
5 352×lower-*.f32
5 000×lower-fma.f64
4 990×lower-fma.f32
2 802×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089481
0148488
1532424
25198424
08231423
Stop Event
iter limit
node limit
iter limit
Counts
25 → 869
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 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(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)))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 r #s(literal -1/3 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(*.f32 (PI.f32) (*.f32 r s))
Outputs
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(+.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(pow.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (-.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) (pow.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 2 binary32))) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (-.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 r (neg.f32 s))))) (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 r (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32)))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) (*.f32 (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (-.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 r (neg.f32 s))))) (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 2 binary32))) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(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 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))) (neg.f32 r))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (neg.f32 r))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(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 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
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#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))
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(*.f32 (*.f32 (*.f32 r s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
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eval189.0ms (1.2%)

Memory
-6.1MiB live, 348.8MiB allocated
Compiler

Compiled 64 909 to 2 814 computations (95.7% saved)

prune550.0ms (3.6%)

Memory
22.1MiB live, 488.4MiB allocated
Pruning

68 alts after pruning (67 fresh and 1 done)

PrunedKeptTotal
New1 682571 739
Fresh131023
Picked415
Done000
Total1 699681 767
Accuracy
99.6%
Counts
1 767 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
98.5%
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
98.5%
(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)))))
10.8%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (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)))
98.5%
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.1%
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
98.4%
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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)))))
9.5%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 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)))))
9.3%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 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)))))
10.8%
(fma.f32 #s(approx (exp (/ r (* s -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(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)))))
9.2%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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)))))
10.8%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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)))))
10.8%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) 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)))))
10.7%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.3%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
99.3%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) r) r)
98.9%
(/.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 (PI.f32) #s(literal 6 binary32)))) (*.f32 r s))
99.2%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r s))
99.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
99.2%
(+.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)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32))))))
99.0%
(+.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)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
9.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
9.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
5.6%
(+.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(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal -1/24 binary32)) (*.f32 #s(literal 1/144 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 s (*.f32 s s)))) r)))
6.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (*.f32 #s(literal 1/144 binary32) (*.f32 r r)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) r)))
9.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
4.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))) r)))
10.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
7.9%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
7.9%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.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)))
8.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (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)))
99.3%
(*.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)))
98.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
8.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
8.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) 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))
9.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 7/324 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
99.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
8.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 s (PI.f32)) (*.f32 s s))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))) s))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
8.2%
#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 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r (PI.f32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
8.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 r (PI.f32))))))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
4.8%
#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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)) (*.f32 #s(literal -7/324 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 s (*.f32 s s)))) s))
8.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (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 -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
8.6%
#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 (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
3.4%
#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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
8.1%
#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) (/.f32 s (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 s (PI.f32)) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
8.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 s (PI.f32)) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))
99.2%
#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 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
Compiler

Compiled 3 952 to 2 359 computations (40.3% saved)

simplify350.0ms (2.3%)

Memory
23.5MiB live, 253.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff64
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))
cost-diff160
(fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s)))
cost-diff320
(fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)))
cost-diff704
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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)))))
cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
cost-diff0
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
cost-diff704
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 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)))))
cost-diff0
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
cost-diff0
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))
cost-diff0
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
cost-diff0
(*.f32 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 (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
cost-diff320
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
cost-diff704
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))))
Rules
14 156×lower-fma.f64
14 144×lower-fma.f32
4 526×lower-*.f64
4 494×lower-*.f32
3 426×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081664
0130650
1250631
2637585
32149568
44478565
55575565
67871565
08713550
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.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))))
(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 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
(PI.f32)
(*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.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 s (PI.f32))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(*.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 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 r s)
r
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
#s(literal 5/72 binary32)
(/.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 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 (exp (/ r (* s -3))) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
r
s
(*.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)
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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)))))
#s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))
#s(literal 1 binary32)
(/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s)
(fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s)))
r
#s(literal 1/3 binary32)
(/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))
(fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)))
(*.f32 r #s(literal 1/18 binary32))
#s(literal 1/18 binary32)
(*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))
(*.f32 r (*.f32 r (/.f32 r s)))
(*.f32 r (/.f32 r s))
(/.f32 r s)
s
#s(literal -1/162 binary32)
(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))
(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))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
Outputs
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) r)
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))))
(*.f32 r (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))))
(*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
(PI.f32)
(*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(*.f32 r (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(*.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 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 r s)
r
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))
(/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
#s(literal 5/72 binary32)
(/.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 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 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (PI.f32)))
(PI.f32)
(*.f32 r s)
r
s
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)) s) #s(literal -1/3 binary32)) #s(literal 1 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
#s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s)))
#s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)) s) #s(literal -1/3 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))
(fma.f32 (/.f32 r s) (fma.f32 r (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)) s) #s(literal -1/3 binary32)) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s)
(*.f32 (/.f32 r s) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/162 binary32) s) #s(literal -1/18 binary32)) s) #s(literal 1/3 binary32)))
(fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s)))
(*.f32 r (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/162 binary32) s) #s(literal -1/18 binary32)) s) #s(literal 1/3 binary32)))
r
#s(literal 1/3 binary32)
(/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))
(*.f32 r (*.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/162 binary32) s) #s(literal -1/18 binary32)) s)))
(fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)))
(*.f32 (*.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)))
(*.f32 r #s(literal 1/18 binary32))
#s(literal 1/18 binary32)
(*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))
(*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))
(*.f32 r (*.f32 r (/.f32 r s)))
(*.f32 r (/.f32 (*.f32 r r) s))
(*.f32 r (/.f32 r s))
(/.f32 (*.f32 r r) s)
(/.f32 r s)
s
#s(literal -1/162 binary32)
(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)))
(PI.f32)
(*.f32 r s)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))

localize248.0ms (1.6%)

Memory
1.9MiB live, 436.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3572800424907003
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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)))))
accuracy0.39681625976844204
(*.f32 (PI.f32) (*.f32 r s))
accuracy0.9872180146074554
(*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))
accuracy28.560297504550686
#s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s)))
accuracy0.27341546470008393
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
accuracy0.3572800424907003
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 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)))))
accuracy0.39681625976844204
(*.f32 (PI.f32) (*.f32 r s))
accuracy28.619073180464728
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
accuracy0.2890625
(/.f32 r (*.f32 s (PI.f32)))
accuracy0.33984375
(*.f32 s (PI.f32))
accuracy0.7334091376161798
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
accuracy28.755495292043452
#s(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))))))
accuracy0
(PI.f32)
accuracy0.23046875
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
accuracy0.39681625976844204
(*.f32 (*.f32 r s) (PI.f32))
accuracy29.142326002615075
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
accuracy0.13160539102300295
(*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
accuracy0.25390625
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy0.28515625
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy0.33984375
(*.f32 s (PI.f32))
Samples
139.0ms256×0valid
Compiler

Compiled 596 to 79 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 45.0ms (39.6% of total)
ival-div: 34.0ms (30% of total)
const: 14.0ms (12.3% of total)
ival-add: 7.0ms (6.2% of total)
ival-exp: 7.0ms (6.2% of total)
ival-neg: 2.0ms (1.8% of total)
ival-pi: 1.0ms (0.9% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series96.0ms (0.6%)

Memory
-3.6MiB live, 156.6MiB allocated
Counts
28 → 624
Calls
Call 1
Inputs
#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r)) (patch (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r)) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (patch (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (patch (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r s) (PI.f32)) (patch (*.f32 (*.f32 r s) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 r s) (patch (*.f32 r s) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (patch (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (patch (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 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))))) (patch (fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 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))))) #<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 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (patch #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #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 (fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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))))) (patch (fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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))))) #<representation binary32>) () ())
#s(alt (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (patch (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) (patch (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s)) (patch (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s)) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s (PI.f32))) (patch (/.f32 r (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (patch #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (* 1/4 (/ r (* s (PI)))) (taylor 0 r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* r (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))) (taylor 0 r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* r (+ (* 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 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* 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)))))) (taylor 0 r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* r (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))) (taylor inf r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* r (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))) (taylor inf r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* r (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))) (taylor inf r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* r (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))) (taylor inf r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))))) (taylor -inf r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))))) (taylor -inf r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))))) (taylor -inf r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))))) (taylor -inf r) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s) (taylor 0 s) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s) (taylor 0 s) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s) (taylor 0 s) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s) (taylor 0 s) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* 1/4 (/ r (* s (PI)))) (taylor inf s) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/8 (/ (pow r 2) (* s (PI)))) (+ (* -1/24 (/ (pow r 2) (* s (PI)))) (* 1/4 (/ r (PI))))) s) (taylor inf s) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2))))) (taylor inf s) (#s(alt #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (patch #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s))) (taylor -inf s) (#s(alt #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (patch #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s))) (taylor -inf s) (#s(alt #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (patch #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf r) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor 0 s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor inf s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) s)) (taylor -inf s) (#s(alt (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) (patch (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)) #<representation binary32>) () ())) ())
Calls

156 calls:

TimeVariablePointExpression
23.0ms
s
@0
(+ (* (exp (/ r (* s -3))) (/ 1/8 (* (PI) (* r s)))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))))
8.0ms
s
@-inf
(/ 1/8 (* (PI) (* r s)))
4.0ms
r
@-inf
(+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI))))))
2.0ms
s
@-inf
(- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s))
2.0ms
s
@0
(+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI))))))

simplify271.0ms (1.8%)

Memory
17.7MiB live, 518.4MiB allocated
Algorithm
egg-herbie
Rules
9 720×lower-fma.f64
9 720×lower-fma.f32
6 032×lower-*.f64
6 032×lower-*.f32
2 980×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05838307
117887924
252827815
082457592
Stop Event
iter limit
node limit
Counts
624 → 624
Calls
Call 1
Inputs
(* 1/4 (/ r (* s (PI))))
(* r (+ (* -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))))))
(* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))
(* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))
(* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))
(* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(* 1/4 (/ r (* s (PI))))
(/ (+ (* -1/8 (/ (pow r 2) (* s (PI)))) (+ (* -1/24 (/ (pow r 2) (* s (PI)))) (* 1/4 (/ r (PI))))) s)
(/ (+ (* -1/8 (/ (pow r 2) (* s (PI)))) (+ (* -1/24 (/ (pow r 2) (* s (PI)))) (+ (* 1/144 (/ (pow r 3) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 3) (* (pow s 2) (PI)))) (* 1/4 (/ r (PI))))))) s)
(/ (+ (* -1/8 (/ (pow r 2) (* s (PI)))) (+ (* -1/24 (/ (pow r 2) (* s (PI)))) (+ (* -1/48 (/ (pow r 4) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 4) (* (pow s 3) (PI)))) (+ (* 1/144 (/ (pow r 3) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 3) (* (pow s 2) (PI)))) (* 1/4 (/ r (PI))))))))) s)
(* 1/4 (/ r (* s (PI))))
(* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow r 2) (PI))) (* -1/24 (/ (pow r 2) (PI)))) s)) (* -1/4 (/ r (PI)))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow r 3) (PI))) (* -1/144 (/ (pow r 3) (PI)))) s)) (+ (* -1/8 (/ (pow r 2) (PI))) (* -1/24 (/ (pow r 2) (PI))))) s)) (* -1/4 (/ r (PI)))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 4) (PI))) (* -1/1296 (/ (pow r 4) (PI)))) s)) (+ (* -1/16 (/ (pow r 3) (PI))) (* -1/144 (/ (pow r 3) (PI))))) s)) (+ (* -1/8 (/ (pow r 2) (PI))) (* -1/24 (/ (pow r 2) (PI))))) s)) (* -1/4 (/ 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 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) 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 (PI)))
(+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI)))))
(+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI)))))
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(/ (- (* 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
(+ 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)))
(/ 1/8 (* 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))))
(/ 1/4 (* 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))
(* 1/18 (pow r 2))
(* (pow r 2) (+ 1/18 (* -1/162 (/ r s))))
(* (pow r 2) (+ 1/18 (* -1/162 (/ r s))))
(* (pow r 2) (+ 1/18 (* -1/162 (/ r s))))
(* -1/162 (/ (pow r 3) s))
(* (pow r 3) (- (* 1/18 (/ 1 r)) (* 1/162 (/ 1 s))))
(* (pow r 3) (- (* 1/18 (/ 1 r)) (* 1/162 (/ 1 s))))
(* (pow r 3) (- (* 1/18 (/ 1 r)) (* 1/162 (/ 1 s))))
(* -1/162 (/ (pow r 3) s))
(* -1 (* (pow r 3) (- (* 1/162 (/ 1 s)) (* 1/18 (/ 1 r)))))
(* -1 (* (pow r 3) (- (* 1/162 (/ 1 s)) (* 1/18 (/ 1 r)))))
(* -1 (* (pow r 3) (- (* 1/162 (/ 1 s)) (* 1/18 (/ 1 r)))))
(* -1/162 (/ (pow r 3) s))
(/ (+ (* -1/162 (pow r 3)) (* 1/18 (* (pow r 2) s))) s)
(/ (+ (* -1/162 (pow r 3)) (* 1/18 (* (pow r 2) s))) s)
(/ (+ (* -1/162 (pow r 3)) (* 1/18 (* (pow r 2) s))) s)
(* 1/18 (pow r 2))
(+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2)))
(+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2)))
(+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2)))
(* 1/18 (pow r 2))
(+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2)))
(+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2)))
(+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2)))
(* 1/3 r)
(* r (+ 1/3 (* -1/18 (/ r s))))
(* r (+ 1/3 (* r (- (* 1/162 (/ r (pow s 2))) (* 1/18 (/ 1 s))))))
(* r (+ 1/3 (* r (- (* 1/162 (/ r (pow s 2))) (* 1/18 (/ 1 s))))))
(* 1/162 (/ (pow r 3) (pow s 2)))
(* (pow r 3) (- (* 1/162 (/ 1 (pow s 2))) (* 1/18 (/ 1 (* r s)))))
(* (pow r 3) (- (+ (/ 1/3 (pow r 2)) (* 1/162 (/ 1 (pow s 2)))) (/ 1/18 (* r s))))
(* (pow r 3) (- (+ (/ 1/3 (pow r 2)) (* 1/162 (/ 1 (pow s 2)))) (/ 1/18 (* r s))))
(* 1/162 (/ (pow r 3) (pow s 2)))
(* -1 (* (pow r 3) (- (* 1/18 (/ 1 (* r s))) (* 1/162 (/ 1 (pow s 2))))))
(* -1 (* (pow r 3) (- (* -1 (/ (- (* 1/3 (/ 1 r)) (* 1/18 (/ 1 s))) r)) (* 1/162 (/ 1 (pow s 2))))))
(* -1 (* (pow r 3) (- (* -1 (/ (- (* 1/3 (/ 1 r)) (* 1/18 (/ 1 s))) r)) (* 1/162 (/ 1 (pow s 2))))))
(* 1/162 (/ (pow r 3) (pow s 2)))
(/ (+ (* -1/18 (* (pow r 2) s)) (* 1/162 (pow r 3))) (pow s 2))
(/ (+ (* 1/162 (pow r 3)) (* s (+ (* -1/18 (pow r 2)) (* 1/3 (* r s))))) (pow s 2))
(/ (+ (* 1/162 (pow r 3)) (* s (+ (* -1/18 (pow r 2)) (* 1/3 (* r s))))) (pow s 2))
(* 1/3 r)
(+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r))
(+ (* -1/18 (/ (pow r 2) s)) (+ (* 1/162 (/ (pow r 3) (pow s 2))) (* 1/3 r)))
(+ (* -1/18 (/ (pow r 2) s)) (+ (* 1/162 (/ (pow r 3) (pow s 2))) (* 1/3 r)))
(* 1/3 r)
(+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r))
(+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r))
(+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(* (pow r 3) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* (pow r 3) (- (/ 1/18 (* r (pow s 2))) (+ (* 1/162 (/ 1 (pow s 3))) (/ 1/3 (* (pow r 2) s)))))
(* (pow r 3) (- (+ (/ 1/18 (* r (pow s 2))) (/ 1 (pow r 3))) (+ (* 1/162 (/ 1 (pow s 3))) (* 1/3 (/ 1 (* (pow r 2) s))))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(* -1 (* (pow r 3) (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))) r)) (* 1/162 (/ 1 (pow s 3))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 s)) (/ 1 r)) r)) (* 1/18 (/ 1 (pow s 2)))) r)) (* 1/162 (/ 1 (pow s 3))))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(/ (- (* 1/18 (* (pow r 2) s)) (* 1/162 (pow r 3))) (pow s 3))
(/ (- (* s (- (* -1/3 (* r s)) (* -1/18 (pow r 2)))) (* 1/162 (pow r 3))) (pow s 3))
(/ (- (* s (- (* s (- s (* 1/3 r))) (* -1/18 (pow r 2)))) (* 1/162 (pow r 3))) (pow s 3))
1
(+ 1 (* -1/3 (/ r s)))
(- (+ 1 (* 1/18 (/ (pow r 2) (pow s 2)))) (* 1/3 (/ r s)))
(- (+ 1 (* -1/162 (/ (pow r 3) (pow s 3)))) (+ (* -1/18 (/ (pow r 2) (pow s 2))) (* 1/3 (/ r s))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (- (* -1/18 (/ (pow r 2) s)) (* -1/3 r)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/162 (/ (pow r 3) s)) (* -1/18 (pow r 2))) s)) (* -1/3 r)) s)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* 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 (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
(* -1/162 (/ (pow r 3) s))
Outputs
(* 1/4 (/ r (* s (PI))))
(*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))
(* r (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))))
(*.f32 r (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))))))
(*.f32 r (fma.f32 r (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 5/72 binary32) (/.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))))))
(*.f32 r (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))))))
(*.f32 (*.f32 r #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))))))
(*.f32 (*.f32 r #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))))))
(*.f32 (*.f32 r #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))))))
(*.f32 (*.f32 r #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 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))
(*.f32 (*.f32 r #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 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))
(*.f32 (*.f32 r #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 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))
(*.f32 (*.f32 r #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 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))
(*.f32 (*.f32 r #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 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.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 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.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 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
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(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)
(* -1/162 (/ (pow r 3) s))
(/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) s)

rewrite316.0ms (2.1%)

Memory
-2.4MiB live, 477.2MiB allocated
Rules
5 362×lower-*.f64
5 330×lower-*.f32
4 062×lower-/.f64
4 038×lower-/.f32
3 540×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081470
0130456
1494437
24661430
09012424
Stop Event
iter limit
node limit
iter limit
Counts
28 → 811
Calls
Call 1
Inputs
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
(*.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))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 r s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 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 (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))) #s(literal 1 binary32))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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)))))
(fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32)))
(fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))
(*.f32 s (PI.f32))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(PI.f32)
(/.f32 r (*.f32 s (PI.f32)))
(*.f32 (PI.f32) (*.f32 r s))
#s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s)))
(*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))
Outputs
(+.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.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 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))
(pow.f32 (/.f32 (fma.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 (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))))) (*.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))) (fma.f32 (exp.f32 (*.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))) #s(literal 3 binary32))) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 r (*.f32 r r)) (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) (-.f32 (*.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))
(fma.f32 r (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 r (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))
(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 r (*.f32 s (PI.f32))))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (*.f32 r (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 r (*.f32 s (PI.f32))))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (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 r (*.f32 s (PI.f32))))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) r (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.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 (*.f32 s (PI.f32)) #s(literal 8 binary32))) r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (*.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.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 r (*.f32 s (PI.f32))))))
(fma.f32 (*.f32 (*.f32 r (exp.f32 (/.f32 r (neg.f32 s)))) #s(literal 1/8 binary32)) (/.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 r (*.f32 s (PI.f32))))))
(-.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))))) (*.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))) (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) #s(literal 2 binary32)) (*.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.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 (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))))) (*.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))) (fma.f32 (exp.f32 (*.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))) #s(literal 3 binary32))) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 r (*.f32 r r)) (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) (-.f32 (*.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (exp.f32 (*.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))) #s(literal 3 binary32))) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 r (*.f32 r r)) (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s)))))) (fma.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 (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))))) (*.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))))))
(/.f32 (fma.f32 (exp.f32 (*.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))) #s(literal 3 binary32))) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 r (*.f32 r r)) (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s)))))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) #s(literal 2 binary32)) (-.f32 (*.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))))) (*.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))))))))
(/.f32 (-.f32 (*.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32)))))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/8 binary32) (/.f32 r (*.f32 s (PI.f32))))) #s(literal 2 binary32))) (*.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))
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(/.f32 (/.f32 r s) #s(literal -3 binary32))
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(/.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) s)
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(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 r #s(literal 3 binary32)))
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(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 r))
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(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(neg.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s)) #s(literal 1/4 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)) #s(literal 3/4 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
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(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) s)))
(/.f32 #s(literal -1/8 binary32) (*.f32 s (neg.f32 (PI.f32))))
(/.f32 #s(literal -1/4 binary32) (neg.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s))))
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(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s)
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
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(/.f32 (/.f32 #s(literal 3/4 binary32) s) (*.f32 (PI.f32) #s(literal 6 binary32)))
(/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) #s(literal 2 binary32)))
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(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s))))
(*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))))
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(*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))
(PI.f32)
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(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(neg.f32 (/.f32 r (*.f32 s (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (neg.f32 r) (*.f32 s (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 s (PI.f32)) r)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s (PI.f32)) r) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s (PI.f32)) r) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 s r) (PI.f32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (neg.f32 (PI.f32)))) (/.f32 r (*.f32 s (neg.f32 (PI.f32)))))
(/.f32 r (*.f32 s (PI.f32)))
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(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 r s)))
(/.f32 (/.f32 r s) (PI.f32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s (PI.f32)) r)))
(/.f32 (*.f32 r #s(literal 1 binary32)) (*.f32 s (PI.f32)))
(/.f32 (/.f32 r (PI.f32)) s)
(/.f32 (/.f32 (/.f32 r s) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 r s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
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(*.f32 (/.f32 r (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 r (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32))))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 r (PI.f32)))
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 (*.f32 s (PI.f32)) r)
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 (*.f32 (*.f32 r s) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 r s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
#s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (*.f32 r (fma.f32 r (*.f32 (/.f32 r s) #s(literal -1/162 binary32)) (*.f32 r #s(literal 1/18 binary32)))) s)) s)))
(*.f32 r (/.f32 (*.f32 (*.f32 r r) #s(literal -1/162 binary32)) s))
(*.f32 (*.f32 r r) (*.f32 (/.f32 r s) #s(literal -1/162 binary32)))
(*.f32 (/.f32 (*.f32 r r) s) (*.f32 r #s(literal -1/162 binary32)))
(*.f32 (/.f32 (*.f32 r (*.f32 r r)) s) #s(literal -1/162 binary32))
(*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s))
(*.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal -1/162 binary32)) s) r)
(*.f32 (*.f32 #s(literal -1/162 binary32) r) (/.f32 (*.f32 r r) s))
(*.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r r)) (/.f32 r s))

eval533.0ms (3.5%)

Memory
-100.6MiB live, 504.6MiB allocated
Compiler

Compiled 80 827 to 4 514 computations (94.4% saved)

prune713.0ms (4.7%)

Memory
21.8MiB live, 988.7MiB allocated
Pruning

96 alts after pruning (93 fresh and 3 done)

PrunedKeptTotal
New2 201502 251
Fresh194362
Picked325
Done011
Total2 223962 319
Accuracy
99.6%
Counts
2 319 → 96
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
99.3%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
9.5%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
9.5%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
9.5%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
98.5%
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
98.4%
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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)))))
9.5%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 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)))))
10.8%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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)))))
10.8%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) 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)))))
7.7%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
10.8%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 #s(approx (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (neg.f32 s))) 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)))))
10.8%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32))) 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)))))
10.5%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (/.f32 #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)))))
8.0%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s))) 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)))))
10.7%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (*.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/162 binary32) (/.f32 #s(literal -1/18 binary32) s)) #s(literal 1/3 binary32)))) s))) (/.f32 #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)))))
10.6%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 s (fma.f32 r #s(literal -1/3 binary32) s))) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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)))))
6.0%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
6.2%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)))
7.5%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
7.8%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
9.2%
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 #s(literal 1/8 binary32) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s))))
11.1%
(/.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (neg.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)))) (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) r))
9.4%
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
99.3%
(/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) r)
99.2%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r s))
9.5%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r s))
9.4%
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
99.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
10.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (*.f32 r (fma.f32 r (*.f32 (/.f32 r s) #s(literal -1/162 binary32)) (*.f32 r #s(literal 1/18 binary32)))) s)) s))))) (*.f32 (PI.f32) (*.f32 r s)))
9.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 (PI.f32) (*.f32 r s)))
8.7%
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 r (PI.f32)) (*.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal -1/6 binary32))) s)) (*.f32 r r))
99.2%
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 (*.f32 r #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 r r))
8.7%
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r))
8.9%
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
64.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s)) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s))) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
99.2%
(+.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)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32))))))
9.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
5.6%
(+.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(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal -1/24 binary32)) (*.f32 #s(literal 1/144 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 s (*.f32 s s)))) r)))
6.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (*.f32 #s(literal 1/144 binary32) (*.f32 r r)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) r)))
4.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))) r)))
7.9%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
7.9%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.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)))
8.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (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)))
99.3%
(*.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)))
98.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
98.9%
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 r r) (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))) #s(literal -1 binary32)))
8.6%
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r 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))
8.2%
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
10.1%
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.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))
99.2%
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r 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))
8.6%
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
9.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 7/324 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (PI.f32) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (*.f32 (*.f32 s s) (PI.f32))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
8.2%
#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 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r (PI.f32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
8.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 r (PI.f32))))))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
4.8%
#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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)) (*.f32 #s(literal -7/324 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 s (*.f32 s s)))) s))
8.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (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 -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
8.6%
#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 (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
3.4%
#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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
8.1%
#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) (/.f32 s (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 s (PI.f32)) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
10.0%
#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 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.6%
#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(approx (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
8.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 s (PI.f32)) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
99.2%
#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 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
4.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))
5.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
Compiler

Compiled 5 395 to 3 201 computations (40.7% saved)

simplify355.0ms (2.3%)

Memory
4.2MiB live, 191.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))
cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
cost-diff320
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
cost-diff704
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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)))))
cost-diff0
(exp.f32 (/.f32 r (neg.f32 s)))
cost-diff0
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))
cost-diff0
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
cost-diff160
(*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))))
cost-diff0
(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))))
cost-diff0
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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))))))
cost-diff0
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r))
cost-diff320
(*.f32 r (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)))))
cost-diff0
(*.f32 r (PI.f32))
cost-diff0
(*.f32 (*.f32 r (PI.f32)) s)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
cost-diff0
(/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) r)
cost-diff64
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
cost-diff512
(/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r)
cost-diff544
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
Rules
7 302×lower-fma.f64
7 292×lower-fma.f32
3 928×lower-*.f64
3 898×lower-*.f32
2 726×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088614
0136607
1291598
2756552
32698529
43329529
53634529
64404529
75299529
85979529
08131520
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) r)
(/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r)
(*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
r
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))
#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 #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
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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))))))
(*.f32 r (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
(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))))
#s(literal -1/6 binary32)
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r r)
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))))
#s(literal 1 binary32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
s
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))
(*.f32 s (PI.f32))
(PI.f32)
#s(literal 8 binary32)
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
r
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
s
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))
(*.f32 r r)
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
#s(literal 1/18 binary32)
(*.f32 s s)
#s(literal 1 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
(*.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)
Outputs
(/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) r)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))) r)
(/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))
(*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(*.f32 r (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))))
r
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.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 (*.f32 s (PI.f32)) #s(literal 8 binary32))
(*.f32 s (*.f32 (PI.f32) #s(literal 8 binary32)))
#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 #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
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 (/.f32 r (*.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/4 binary32)))) (*.f32 r r))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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))))))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 (/.f32 r (*.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/4 binary32))))
(*.f32 r (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)))))
(*.f32 (/.f32 r (*.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/4 binary32)))
r
(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))))
#s(literal -1/6 binary32)
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r r)
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 8 binary32)))))
(*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))))
(+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
r
(neg.f32 s)
s
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 8 binary32))))
(*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))
(*.f32 s (*.f32 (PI.f32) #s(literal 8 binary32)))
(*.f32 s (PI.f32))
(PI.f32)
#s(literal 8 binary32)
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) #s(literal 1 binary32)))))
#s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))
#s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
(fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) #s(literal 1 binary32))
r
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
s
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))
(*.f32 r r)
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
#s(literal 1/18 binary32)
(*.f32 s s)
#s(literal 1 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (PI.f32)))
(PI.f32)
(*.f32 r s)
(*.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)

localize330.0ms (2.2%)

Memory
-15.3MiB live, 259.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3828125
(/.f32 #s(literal -1/3 binary32) s)
accuracy0.39681625976844204
(*.f32 (PI.f32) (*.f32 r s))
accuracy1.5235380762928277
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))
accuracy28.50204816290678
#s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))
accuracy0.14249410903782525
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
accuracy0.27734375
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
accuracy0.33984375
(*.f32 s (PI.f32))
accuracy28.619073180464728
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
accuracy0.43569479025633806
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
accuracy0.507769122395459
(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))))
accuracy0.5564404837811779
(*.f32 r (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)))))
accuracy29.213630374532986
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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))))))
accuracy0.23046875
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
accuracy0.2578125
(*.f32 (*.f32 r (PI.f32)) s)
accuracy0.328125
(*.f32 r (PI.f32))
accuracy29.142326002615075
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
accuracy0.11988664102300294
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
accuracy0.25390625
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy0.28515625
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy0.33984375
(*.f32 s (PI.f32))
Samples
209.0ms256×0valid
Compiler

Compiled 544 to 81 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-mult: 90.0ms (48.5% of total)
ival-div: 65.0ms (35% of total)
const: 10.0ms (5.4% of total)
ival-add: 8.0ms (4.3% of total)
ival-exp: 7.0ms (3.8% of total)
ival-neg: 2.0ms (1.1% of total)
ival-pi: 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)

series84.0ms (0.5%)

Memory
10.3MiB live, 80.2MiB allocated
Counts
29 → 648
Calls
Call 1
Inputs
#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) (patch (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (patch (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) r) (patch (/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) 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 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r (PI.f32)) s) (patch (*.f32 (*.f32 r (PI.f32)) s) #<representation binary32>) () ())
#s(alt (*.f32 r (PI.f32)) (patch (*.f32 r (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 r (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))))) (patch (*.f32 r (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))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r)) (patch (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r)) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (patch #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) #<representation binary32>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (patch (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())
#s(alt (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (patch (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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))))) (patch (fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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))))) #<representation binary32>) () ())
#s(alt (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (patch (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (patch (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (patch #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (patch (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (patch #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (patch (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* s (PI))) (taylor 0 r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor inf r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor -inf r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor -inf r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor -inf r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) (taylor -inf r) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) s) (taylor 0 s) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) s) (taylor 0 s) (#s(alt (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (patch (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* r (* s (PI))) (taylor 0 r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf s) (#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor 0 s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor 0 s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor 0 s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor 0 s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor inf s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor inf s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor inf s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor inf s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor -inf s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor -inf s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor -inf s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1/3 s) (taylor -inf s) (#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())) ())
Calls

162 calls:

TimeVariablePointExpression
13.0ms
s
@inf
(/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8)))
7.0ms
s
@inf
(/ -1/3 s)
1.0ms
r
@inf
(/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8)))
1.0ms
r
@-inf
(/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8)))
1.0ms
r
@-inf
(/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) r)

simplify426.0ms (2.8%)

Memory
20.0MiB live, 339.3MiB allocated
Algorithm
egg-herbie
Rules
11 606×lower-fma.f64
11 606×lower-fma.f32
5 598×lower-*.f64
5 598×lower-*.f32
3 642×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05998851
117958352
252028135
080917890
Stop Event
iter limit
node limit
Counts
648 → 648
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)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) s)
(/ 1/4 (* s (PI)))
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI))))) s)
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI))))))) s)
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (+ (* -1/48 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI))))))))) s)
(/ 1/4 (* s (PI)))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ r (PI))) (* -1/24 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow r 2) (PI))) (* -1/144 (/ (pow r 2) (PI)))) s)) (+ (* -1/8 (/ r (PI))) (* -1/24 (/ r (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) (PI))) (* -1/1296 (/ (pow r 3) (PI)))) s)) (+ (* -1/16 (/ (pow r 2) (PI))) (* -1/144 (/ (pow r 2) (PI))))) s)) (+ (* -1/8 (/ r (PI))) (* -1/24 (/ r (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/ 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)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) s)
(/ 1/4 (* s (PI)))
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI))))) s)
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI))))))) s)
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (+ (* -1/48 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI))))))))) s)
(/ 1/4 (* s (PI)))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ r (PI))) (* -1/24 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow r 2) (PI))) (* -1/144 (/ (pow r 2) (PI)))) s)) (+ (* -1/8 (/ r (PI))) (* -1/24 (/ r (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) (PI))) (* -1/1296 (/ (pow r 3) (PI)))) s)) (+ (* -1/16 (/ (pow r 2) (PI))) (* -1/144 (/ (pow r 2) (PI))))) s)) (+ (* -1/8 (/ r (PI))) (* -1/24 (/ r (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/ 1/8 (* s (PI)))
(+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI)))))
(+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI)))))
(+ (* 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)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(/ 1/8 (* s (PI)))
(/ (+ (* -1/8 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI))))) s)
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/48 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI)))))) s)
(/ 1/8 (* s (PI)))
(* -1 (/ (- (* 1/8 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ r (PI))) (* 1/16 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow r 2) (PI))) (* 1/48 (/ (pow r 3) (* s (PI))))) s)) (* -1/8 (/ r (PI)))) s)) (* 1/8 (/ 1 (PI)))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (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)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ 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)
(/ (+ (* 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)
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(* -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
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* (pow r 2) (- (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))) (/ 1/3 (* r s))))
(* (pow r 2) (- (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))) (/ 1/3 (* r s))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/3 (/ 1 s)) (/ 1 r)) r)) (* 1/18 (/ 1 (pow s 2)))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/3 (/ 1 s)) (/ 1 r)) r)) (* 1/18 (/ 1 (pow s 2)))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/ (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))) (pow s 2))
(/ (+ (* 1/18 (pow r 2)) (* s (+ s (* -1/3 r)))) (pow s 2))
(/ (+ (* 1/18 (pow r 2)) (* s (+ s (* -1/3 r)))) (pow s 2))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (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 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) 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
(+ 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)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (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)))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
(* 8 (* r (* s (PI))))
1
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/ (+ (* 1/18 (pow r 2)) (pow s 2)) (pow s 2))
(/ (+ (* 1/18 (pow r 2)) (pow s 2)) (pow s 2))
(/ (+ (* 1/18 (pow r 2)) (pow s 2)) (pow s 2))
1
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
1
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
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 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(+ (* r (- (* r (+ (* -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)))) (* 1/8 (/ (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)))) (* 1/8 (/ (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)))) (* 1/8 (/ (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)))) (* 1/8 (/ (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)))) (* 1/8 (/ (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)))) (* 1/8 (/ (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)))) (* 1/8 (/ (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)))) (* 1/8 (/ (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))) (* 1/8 (/ (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))) (* 1/8 (/ (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))) (* 1/8 (/ (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))) (* 1/8 (/ (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 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI))))) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI))))))) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) s)
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (+ (* -1/48 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI))))))))) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (fma.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 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 (/ (+ (* -1/8 (/ r (PI))) (* -1/24 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow r 2) (PI))) (* -1/144 (/ (pow r 2) (PI)))) s)) (+ (* -1/8 (/ r (PI))) (* -1/24 (/ r (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal 5/72 binary32) (*.f32 r (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) (PI))) (* -1/1296 (/ (pow r 3) (PI)))) s)) (+ (* -1/16 (/ (pow r 2) (PI))) (* -1/144 (/ (pow r 2) (PI))))) s)) (+ (* -1/8 (/ r (PI))) (* -1/24 (/ r (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
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(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (*.f32 r (*.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (*.f32 r (*.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(* (pow r 2) (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (*.f32 r (*.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(/ (+ (* 1/18 (pow r 2)) (pow s 2)) (pow s 2))
(/.f32 (fma.f32 s s (*.f32 r (*.f32 r #s(literal 1/18 binary32)))) (*.f32 s s))
(/ (+ (* 1/18 (pow r 2)) (pow s 2)) (pow s 2))
(/.f32 (fma.f32 s s (*.f32 r (*.f32 r #s(literal 1/18 binary32)))) (*.f32 s s))
(/ (+ (* 1/18 (pow r 2)) (pow s 2)) (pow s 2))
(/.f32 (fma.f32 s s (*.f32 r (*.f32 r #s(literal 1/18 binary32)))) (*.f32 s s))
1
#s(literal 1 binary32)
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(+ 1 (* 1/18 (/ (pow r 2) (pow s 2))))
(fma.f32 r (*.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #s(literal 1 binary32))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(* r (* s (PI)))
(*.f32 s (*.f32 (PI.f32) r))
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)

rewrite333.0ms (2.2%)

Memory
-4.0MiB live, 475.7MiB allocated
Rules
4 930×lower-*.f64
4 900×lower-*.f32
3 622×lower-/.f64
3 594×lower-/.f32
3 314×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088475
0136464
1528452
24494452
08450447
Stop Event
iter limit
node limit
iter limit
Counts
29 → 820
Calls
Call 1
Inputs
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) 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 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 r (PI.f32))
(*.f32 r (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)))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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))))))
(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))))
(*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
#s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))
(*.f32 s (PI.f32))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
#s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))
(*.f32 (PI.f32) (*.f32 r s))
(/.f32 #s(literal -1/3 binary32) s)
Outputs
(+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(pow.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))))) (fma.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) (*.f32 s (PI.f32)))) (/.f32 (exp.f32 (*.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))) #s(literal 3 binary32))) (*.f32 #s(literal 512 binary32) (*.f32 (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) (*.f32 s (PI.f32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(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 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal -8 binary32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(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 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 s (PI.f32))) #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(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 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(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 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(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 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s) (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(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 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(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 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
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(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1 binary32)) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (*.f32 r r) r) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 s s)))))
(/.f32 (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1 binary32))) (neg.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 s s))))
(*.f32 (fma.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (*.f32 r r) r) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 s s)))))
(*.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal -1 binary32))))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 r (PI.f32)))
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 (*.f32 s (PI.f32)) r)
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (*.f32 (*.f32 r s) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 r s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(neg.f32 (/.f32 #s(literal 1/3 binary32) s))
(exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal -3 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s #s(literal -3 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 s #s(literal -3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1/3 binary32) s)
(/.f32 #s(literal 1/3 binary32) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -3 binary32))
(/.f32 #s(literal -1 binary32) (*.f32 s #s(literal 3 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/3 binary32))

eval207.0ms (1.4%)

Memory
29.4MiB live, 372.8MiB allocated
Compiler

Compiled 53 196 to 3 687 computations (93.1% saved)

prune738.0ms (4.8%)

Memory
-17.5MiB live, 870.9MiB allocated
Pruning

119 alts after pruning (114 fresh and 5 done)

PrunedKeptTotal
New1 610541 664
Fresh286088
Picked325
Done033
Total1 6411191 760
Accuracy
99.6%
Counts
1 760 → 119
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
99.3%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
9.5%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
9.5%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
98.5%
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
10.6%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #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)))))
10.8%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s)) r #s(literal 1 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)))))
8.2%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(approx (exp (/ r (neg 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))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.3%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)) (*.f32 r (*.f32 r #s(literal 1/2 binary32)))) s)) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(approx (exp (/ r (neg s))) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 r s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 r (*.f32 r #s(literal 1/2 binary32))) (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.1%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.1%
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
10.8%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) 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)))))
7.7%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
10.5%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (/.f32 #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)))))
8.0%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s))) 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)))))
10.7%
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (*.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/162 binary32) (/.f32 #s(literal -1/18 binary32) s)) #s(literal 1/3 binary32)))) s))) (/.f32 #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)))))
10.6%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 s (fma.f32 r #s(literal -1/3 binary32) s))) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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)))))
6.0%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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)))))
5.6%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (/.f32 (*.f32 r (fma.f32 r #s(literal 1/18 binary32) (*.f32 #s(literal -1/3 binary32) s))) (*.f32 s 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)))))
6.3%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/18 binary32))) (*.f32 s 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)))))
5.6%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) (*.f32 s r)))))) (/.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)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) #s(literal 1 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)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.4%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
6.2%
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)))
9.2%
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 #s(literal 1/8 binary32) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s))))
9.4%
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
9.5%
(/.f32 (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) s) (*.f32 (PI.f32) #s(literal 8 binary32)))
9.4%
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) r)
9.5%
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
9.1%
(/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (/ (exp (/ r (neg s))) (* (* s (PI)) 8)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) r) r)
99.2%
(/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) r)
8.9%
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r) r)
99.2%
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (*.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) r)
9.4%
(/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
99.2%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r s))
9.5%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r s))
9.5%
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
9.3%
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
10.8%
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) s))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
10.7%
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)) (*.f32 r (*.f32 r #s(literal 1/18 binary32)))) (neg.f32 s))) s))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
9.3%
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (+.f32 (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 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
9.4%
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 (*.f32 r (PI.f32)) (*.f32 s #s(literal 8 binary32))))
9.4%
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 8 binary32))))
7.5%
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)) (*.f32 r (*.f32 r #s(literal 1/2 binary32)))) s)) s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
7.8%
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
10.8%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
99.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
10.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (*.f32 r (fma.f32 r (*.f32 (/.f32 r s) #s(literal -1/162 binary32)) (*.f32 r #s(literal 1/18 binary32)))) s)) s))))) (*.f32 (PI.f32) (*.f32 r s)))
9.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 (PI.f32) (*.f32 r s)))
99.0%
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 r (*.f32 r (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))) #s(literal -1 binary32))) r)
8.6%
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r)
8.9%
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
99.2%
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) 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)))))) r)
99.2%
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 (*.f32 r #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 r r))
8.7%
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r))
8.9%
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
8.9%
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
9.9%
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) (fma.f32 #s(literal 5/9 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 2 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
8.6%
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
8.2%
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
10.1%
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 r (fma.f32 #s(literal 5/9 binary32) (/.f32 r (*.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
9.6%
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 5/9 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -14/81 binary32)) s)) (neg.f32 s))) s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
10.1%
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -5/9 binary32)) s)) s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
8.2%
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) (fma.f32 #s(literal 5/9 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (*.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) #s(literal -14/81 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
8.9%
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
64.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s)) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s))) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
9.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r)))
99.2%
(+.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)))) #s(approx (* (* (* 6 (PI)) s) r) (*.f32 s (*.f32 (*.f32 r (PI.f32)) #s(literal 6 binary32))))))
7.9%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.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)))
8.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.5%
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
99.3%
(*.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)))
10.8%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32)))))
98.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
98.9%
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 r r) (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))) #s(literal -1 binary32)))
99.1%
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) 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)))
8.6%
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) r) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
10.1%
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.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))
98.0%
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))) (*.f32 s (*.f32 r r))))
99.1%
#s(approx (/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8))) (/.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 s (*.f32 (PI.f32) r))))
8.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (PI.f32) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))) (*.f32 (*.f32 s s) (PI.f32))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
8.2%
#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 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r (PI.f32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
8.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 r (PI.f32))))))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
4.8%
#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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)) (*.f32 #s(literal -7/324 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 s (*.f32 s s)))) s))
8.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (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 -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
8.6%
#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 (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
3.4%
#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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
8.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 s (PI.f32)) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
99.2%
#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 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
4.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))
5.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
Compiler

Compiled 8 454 to 2 734 computations (67.7% saved)

regimes207.0ms (1.3%)

Memory
26.5MiB live, 369.2MiB allocated
Counts
190 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.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 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.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) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.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 (/.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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) r) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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(approx (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) 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))
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(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s)) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s))) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 r r) (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))) #s(literal -1 binary32)))
(/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) 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)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 r (*.f32 r (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))) #s(literal -1 binary32))) r)
(/.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (neg.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)))) (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) 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 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Calls

3 calls:

88.0ms
s
55.0ms
r
53.0ms
(+.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
99.3%1s
99.3%1r
99.3%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)

regimes160.0ms (1%)

Memory
-34.4MiB live, 299.3MiB allocated
Counts
176 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.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 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.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) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.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 (/.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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) r) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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(approx (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) 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))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r 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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 r (fma.f32 #s(literal 5/9 binary32) (/.f32 r (*.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -5/9 binary32)) s)) s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) (fma.f32 #s(literal 5/9 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 2 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 r (PI.f32)) (*.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal -1/6 binary32))) s)) (*.f32 r r))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (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 (/ (* r -1/3) 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))
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(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (+.f32 (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 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 s (fma.f32 r #s(literal -1/3 binary32) s))) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (/.f32 #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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
#s(approx (/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8))) (/.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 s (*.f32 (PI.f32) r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r s))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))) (*.f32 s (*.f32 r r))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) 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)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r 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(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) 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)))))) r)
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 (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 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 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 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 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 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 (*.f32 r #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 r r))
Outputs
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
Calls

3 calls:

52.0ms
s
51.0ms
r
45.0ms
(+.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
99.3%1s
99.3%1r
99.3%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)

regimes175.0ms (1.1%)

Memory
24.5MiB live, 301.0MiB allocated
Counts
172 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.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 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.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) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
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(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
Outputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
Calls

3 calls:

75.0ms
s
49.0ms
r
42.0ms
(+.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
99.3%1s
99.3%1r
99.3%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)

regimes172.0ms (1.1%)

Memory
25.3MiB live, 249.0MiB allocated
Counts
170 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.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 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.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) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.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 (/.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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) r) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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(approx (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) 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))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r 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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 r (fma.f32 #s(literal 5/9 binary32) (/.f32 r (*.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -5/9 binary32)) s)) s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) (fma.f32 #s(literal 5/9 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 2 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 r (PI.f32)) (*.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal -1/6 binary32))) s)) (*.f32 r r))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (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 (/ (* r -1/3) 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 (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.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))
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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 (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.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 (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
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(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (/.f32 #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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
#s(approx (/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8))) (/.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 s (*.f32 (PI.f32) r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r s))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))) (*.f32 s (*.f32 r r))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) 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)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r 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(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) 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)))))) r)
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 (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 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
Outputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
Calls

3 calls:

63.0ms
r
50.0ms
(+.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)))
49.0ms
s
Results
AccuracySegmentsBranch
99.3%1s
99.3%1r
99.3%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)

regimes147.0ms (1%)

Memory
-31.6MiB live, 197.2MiB allocated
Counts
160 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.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 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.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) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.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 (/.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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) r) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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(approx (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
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(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) (*.f32 s r)))))) (/.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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s))) 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 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)) (*.f32 r (*.f32 r #s(literal 1/18 binary32)))) (neg.f32 s))) s))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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 (/.f32 (*.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 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal -1/24 binary32)) (*.f32 #s(literal 1/144 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 s (*.f32 s s)))) r)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (*.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/162 binary32) (/.f32 #s(literal -1/18 binary32) s)) #s(literal 1/3 binary32)))) s))) (/.f32 #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 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (+.f32 (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 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 s (fma.f32 r #s(literal -1/3 binary32) s))) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (/.f32 #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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
#s(approx (/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8))) (/.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 s (*.f32 (PI.f32) r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r s))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))) (*.f32 s (*.f32 r r))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) 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)))
Outputs
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
Calls

3 calls:

45.0ms
r
44.0ms
s
36.0ms
(+.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
99.2%1s
99.2%1r
99.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes137.0ms (0.9%)

Memory
-14.9MiB live, 213.3MiB allocated
Counts
156 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.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 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.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) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r) r)
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(fma.f32 #s(approx (exp (/ r (* s -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(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 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (*.f32 r (fma.f32 r (*.f32 (/.f32 r s) #s(literal -1/162 binary32)) (*.f32 r #s(literal 1/18 binary32)))) s)) s))))) (*.f32 (PI.f32) (*.f32 r s)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) 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)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 #s(approx (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (neg.f32 s))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s)) r #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #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 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) (*.f32 s r)))))) (/.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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s))) 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 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)) (*.f32 r (*.f32 r #s(literal 1/18 binary32)))) (neg.f32 s))) s))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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 (/.f32 (*.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 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal -1/24 binary32)) (*.f32 #s(literal 1/144 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 s (*.f32 s s)))) r)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (*.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/162 binary32) (/.f32 #s(literal -1/18 binary32) s)) #s(literal 1/3 binary32)))) s))) (/.f32 #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 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (+.f32 (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 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 s (fma.f32 r #s(literal -1/3 binary32) s))) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (/.f32 #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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
#s(approx (/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8))) (/.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 s (*.f32 (PI.f32) r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
Outputs
#s(approx (/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8))) (/.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 s (*.f32 (PI.f32) r))))
Calls

3 calls:

47.0ms
r
42.0ms
s
34.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.1%1s
99.1%1r
99.1%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes186.0ms (1.2%)

Memory
18.2MiB live, 170.1MiB allocated
Counts
154 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/18 binary32))) (*.f32 s 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 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (*.f32 #s(literal 1/144 binary32) (*.f32 r r)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (/.f32 (*.f32 r (fma.f32 r #s(literal 1/18 binary32) (*.f32 #s(literal -1/3 binary32) s))) (*.f32 s 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 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -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(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 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (*.f32 r (fma.f32 r (*.f32 (/.f32 r s) #s(literal -1/162 binary32)) (*.f32 r #s(literal 1/18 binary32)))) s)) s))))) (*.f32 (PI.f32) (*.f32 r s)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) 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)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 #s(approx (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (neg.f32 s))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s)) r #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #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 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) (*.f32 s r)))))) (/.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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s))) 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 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)) (*.f32 r (*.f32 r #s(literal 1/18 binary32)))) (neg.f32 s))) s))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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 (/.f32 (*.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 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal -1/24 binary32)) (*.f32 #s(literal 1/144 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 s (*.f32 s s)))) r)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (*.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/162 binary32) (/.f32 #s(literal -1/18 binary32) s)) #s(literal 1/3 binary32)))) s))) (/.f32 #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 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (+.f32 (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 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 s (fma.f32 r #s(literal -1/3 binary32) s))) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (fma.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s)))) s))) (/.f32 #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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
Calls

3 calls:

101.0ms
s
44.0ms
r
33.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.8%1s
10.8%1r
10.8%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)

regimes141.0ms (0.9%)

Memory
8.5MiB live, 247.8MiB allocated
Counts
146 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
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(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) s))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 #s(literal 1/8 binary32) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (*.f32 (PI.f32) (*.f32 r s))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (/.f32 (*.f32 r (*.f32 r #s(literal 1/18 binary32))) (*.f32 s 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 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (*.f32 #s(literal 1/144 binary32) (*.f32 r r)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (/.f32 (*.f32 r (fma.f32 r #s(literal 1/18 binary32) (*.f32 #s(literal -1/3 binary32) s))) (*.f32 s 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 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -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(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 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (*.f32 r (fma.f32 r (*.f32 (/.f32 r s) #s(literal -1/162 binary32)) (*.f32 r #s(literal 1/18 binary32)))) s)) s))))) (*.f32 (PI.f32) (*.f32 r s)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) 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)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 #s(approx (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) (neg.f32 s))) 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)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s)) r #s(literal 1 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 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #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 #s(approx (exp (/ r (* s -3))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) (*.f32 s r)))))) (/.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 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 1/162 binary32)) (*.f32 s s))) 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 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)) (*.f32 r (*.f32 r #s(literal 1/18 binary32)))) (neg.f32 s))) s))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(approx (- 1 (/ (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) s)) (/.f32 (fma.f32 s (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32))) (*.f32 s (*.f32 s 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 (/.f32 (*.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 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal -1/24 binary32)) (*.f32 #s(literal 1/144 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 s (*.f32 s s)))) r)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* r 1/3) (/ (+ (* r (* r 1/18)) (* (* r (* r (/ r s))) -1/162)) (neg s))) (*.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/162 binary32) (/.f32 #s(literal -1/18 binary32) s)) #s(literal 1/3 binary32)))) s))) (/.f32 #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 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (+.f32 (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 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
Outputs
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) s))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
Calls

3 calls:

48.0ms
r
46.0ms
s
39.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.8%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)))
10.8%1s
10.8%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes115.0ms (0.8%)

Memory
17.4MiB live, 126.4MiB allocated
Counts
115 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.f32 #s(literal 1 binary32) s)))
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#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 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 -1/6 binary32) (*.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 (/.f32 #s(literal 1 binary32) s) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 s (PI.f32)) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 r (PI.f32))))))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(fma.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 s (PI.f32)) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 r (PI.f32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 (*.f32 r (PI.f32)) (*.f32 s #s(literal 8 binary32))))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r s))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) r)
(/.f32 (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) s) (*.f32 (PI.f32) #s(literal 8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r)))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)) (*.f32 r (*.f32 r #s(literal 1/2 binary32)))) s)) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(approx (exp (/ r (neg 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))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (*.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))) #s(approx (+ (* r (/ -1/3 s)) (+ (* (* r r) (/ 1/18 (* s s))) 1)) #s(literal 1 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 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 8 binary32))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.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 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) 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(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.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 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(approx (exp (/ r (neg s))) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 r s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 r (*.f32 r #s(literal 1/2 binary32))) (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.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 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (/ (exp (/ r (neg s))) (* (* s (PI)) 8)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) r) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (*.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))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 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)))))
Outputs
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
Calls

3 calls:

51.0ms
r
34.0ms
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
10.8%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)))
10.8%1r
10.8%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes107.0ms (0.7%)

Memory
11.0MiB live, 168.6MiB allocated
Counts
112 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
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(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 (*.f32 r (PI.f32)) (*.f32 s #s(literal 8 binary32))))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r s))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) r)
(/.f32 (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) s) (*.f32 (PI.f32) #s(literal 8 binary32)))
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(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(approx (exp (/ r (neg 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))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 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 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 8 binary32))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.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 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
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(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
(fma.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(approx (exp (/ r (neg s))) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 r s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 r (*.f32 r #s(literal 1/2 binary32))) (*.f32 s s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.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 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (/ (exp (/ r (neg s))) (* (* s (PI)) 8)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) r) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32)))))
Outputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32)))))
Calls

3 calls:

36.0ms
(+.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)))
33.0ms
s
32.0ms
r
Results
AccuracySegmentsBranch
10.8%1r
10.8%1s
10.8%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)

regimes113.0ms (0.7%)

Memory
-38.2MiB live, 171.3MiB allocated
Counts
111 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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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#s(approx (+ (/ (* 1/4 (exp (/ (neg 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)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.f32 #s(literal 1 binary32) s)))
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#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
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(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 (*.f32 r (PI.f32)) (*.f32 s #s(literal 8 binary32))))
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(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r s))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) r)
(/.f32 (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r) s) (*.f32 (PI.f32) #s(literal 8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) r)))
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(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
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(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 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)))))
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(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 8 binary32))))
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(/.f32 (/.f32 (*.f32 r (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (/ (exp (/ r (neg s))) (* (* s (PI)) 8)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) r) 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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
Calls

3 calls:

39.0ms
r
38.0ms
s
23.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.1%1r
10.1%1s
10.1%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes46.0ms (0.3%)

Memory
0.7MiB live, 75.4MiB allocated
Counts
52 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.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 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.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) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.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 (/.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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) r) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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(approx (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) 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))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r 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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 r (fma.f32 #s(literal 5/9 binary32) (/.f32 r (*.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -5/9 binary32)) s)) s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) (fma.f32 #s(literal 5/9 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 2 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 r (PI.f32)) (*.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal -1/6 binary32))) s)) (*.f32 r r))
(fma.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (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 (/ (* r -1/3) 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 (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)) (*.f32 #s(literal -7/324 binary32) (*.f32 r (/.f32 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 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
Outputs
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -5/9 binary32)) s)) s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
Calls

3 calls:

16.0ms
r
14.0ms
s
13.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.1%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.1%1r
10.1%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes41.0ms (0.3%)

Memory
11.6MiB live, 90.8MiB allocated
Counts
43 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.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 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.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) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.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 (/.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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) r) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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(approx (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) 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))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r 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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r r))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 r (fma.f32 #s(literal 5/9 binary32) (/.f32 r (*.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
Outputs
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 r (fma.f32 #s(literal 5/9 binary32) (/.f32 r (*.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
Calls

3 calls:

16.0ms
r
12.0ms
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
10.1%1r
10.1%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.1%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes39.0ms (0.3%)

Memory
20.1MiB live, 92.7MiB allocated
Counts
42 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.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 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.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) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.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 (/.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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) r) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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(approx (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) 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))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r 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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r (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)))))) (*.f32 r 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 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
Calls

3 calls:

13.0ms
s
12.0ms
(+.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)))
12.0ms
r
Results
AccuracySegmentsBranch
8.9%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.9%1r
8.9%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes32.0ms (0.2%)

Memory
-15.2MiB live, 64.5MiB allocated
Counts
30 → 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)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 1/4 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))
(/.f32 #s(approx (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) (/.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))) #s(approx (+ (/ (+ (* 5/72 (/ r (* s (PI)))) (/ -1/6 (PI))) (* s s)) (/ 1/4 (* r (* s (PI))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.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 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg 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))) (/.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 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 r (*.f32 s (PI.f32))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (*.f32 r #s(approx (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))) (*.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) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (/.f32 (*.f32 r #s(approx (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.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 (/.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 (/ (* r -1/3) s))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (/ (/ (* r (+ (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/ (exp (/ r (neg s))) (* (* s (PI)) 8)))) r) r) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 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)))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
Calls

3 calls:

12.0ms
s
9.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.0ms
r
Results
AccuracySegmentsBranch
8.9%1s
8.9%1r
8.9%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes7.0ms (0%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) #s(literal 2 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
Calls

3 calls:

2.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
2.0ms
r
2.0ms
s
Results
AccuracySegmentsBranch
8.9%1r
8.9%1s
8.9%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes6.0ms (0%)

Memory
-24.5MiB live, 14.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
Calls

3 calls:

3.0ms
s
1.0ms
r
1.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
8.9%1s
8.9%1r
8.9%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes4.0ms (0%)

Memory
12.2MiB live, 12.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
1.0ms
r
1.0ms
s
Results
AccuracySegmentsBranch
8.9%1r
8.9%1s
8.9%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify17.0ms (0.1%)

Memory
0.6MiB live, 37.9MiB allocated
Algorithm
egg-herbie
Rules
84×*-commutative_binary32
34×+-commutative_binary32
18×sub-neg_binary32
14×neg-sub0_binary32
14×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0193712
1254712
2272712
3284712
4291712
5293712
Stop Event
saturated
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 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
#s(approx (/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8))) (/.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 s (*.f32 (PI.f32) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) s))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -5/9 binary32)) s)) s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 r (fma.f32 #s(literal 5/9 binary32) (/.f32 r (*.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
Outputs
(+.f32 (/.f32 (*.f32 #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 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(*.f32 (/.f32 #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 (neg.f32 (/.f32 r s))) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (neg.f32 (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
#s(approx (/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8))) (/.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 s (*.f32 (PI.f32) r))))
#s(approx (/ (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (* r (* (* s (PI)) 8))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))) (*.f32 s (*.f32 r (PI.f32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 r s)))) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) s))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32) (*.f32 r #s(literal 1/3 binary32))) s)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32)))))
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) (*.f32 s s))) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -5/9 binary32)) s)) s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(approx (* 1 (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (fma.f32 r (fma.f32 #s(literal 5/9 binary32) (/.f32 r (*.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #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 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r (sqrt.f32 (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 r (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (*.f32 r s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))

soundness1.8s (12%)

Memory
21.6MiB live, 1 500.9MiB allocated
Rules
15 158×lower-fma.f64
15 158×lower-fma.f32
14 624×lower-fma.f64
14 624×lower-fma.f32
11 606×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359561788
082271755
05438017
116357675
246487503
083867310
088475
0136464
1528452
24494452
08450447
081470
0130456
1494437
24661430
09012424
02590
04390
114279
2131271
0945671
05998851
117958352
252028135
080917890
089481
0148488
1532424
25198424
08231423
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 031 to 487 computations (52.8% saved)

preprocess170.0ms (1.1%)

Memory
-21.3MiB live, 276.3MiB allocated
Compiler

Compiled 862 to 304 computations (64.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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