Disney BSSRDF, PDF of scattering profile

Time bar (total: 15.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze64.0ms (0.4%)

Memory
34.6MiB live, 110.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%2.1%97.9%0%0%0%0
0%0%2.1%97.9%0%0%0%1
0%0%2.1%97.9%0%0%0%2
25%0.5%1.5%97.9%0%0%0%3
37.5%0.8%1.3%97.9%0%0%0%4
56.2%1.2%0.9%97.9%0%0%0%5
65.6%1.3%0.7%97.9%0%0%0%6
76.6%1.6%0.5%97.9%0%0%0%7
82%1.7%0.4%97.9%0%0%0%8
87.9%1.8%0.2%97.9%0%0%0%9
90.8%1.9%0.2%97.9%0%0%0%10
93.8%1.9%0.1%97.9%0%0%0%11
95.4%2%0.1%97.9%0%0%0%12
Compiler

Compiled 49 to 37 computations (24.5% saved)

sample2.4s (16.1%)

Memory
52.3MiB live, 3 178.9MiB allocated
Samples
1.9s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 550.0ms (34% of total)
ival-div: 270.0ms (16.7% of total)
ival-neg: 265.0ms (16.4% of total)
const: 153.0ms (9.5% of total)
ival-exp: 128.0ms (7.9% of total)
ival-<=: 81.0ms (5% of total)
ival-<: 39.0ms (2.4% of total)
ival-pi: 38.0ms (2.4% of total)
ival-add: 36.0ms (2.2% of total)
exact: 30.0ms (1.9% of total)
ival-and: 24.0ms (1.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain257.0ms (1.7%)

Memory
-4.3MiB live, 551.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15(0.00019807500939350575 0.32254353165626526)1(60.30624008178711 14336.7109375)(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
00-0-(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
00-0-(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 6 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
00-0-(neg.f32 r)
00-0-s
00-0-(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
00-0-(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
00-0-#s(literal 3/4 binary32)
00-0-(/.f32 (neg.f32 r) s)
00-0-#s(literal 1/4 binary32)
05(0.0018011279171332717 0.21690204739570618)0-(exp.f32 (/.f32 (neg.f32 r) s))
00-0-(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 3 binary32) s)
00-0-(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
00-0-#s(literal 6 binary32)
00-0-r
00-0-#s(literal 3 binary32)
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 r) s))sensitivity51
exp.f32(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))sensitivity54
Confusion
Predicted +Predicted -
+10
-8247
Precision
0.1111111111111111
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-81246
Precision?
0.1
Recall?
1.0
Freqs
test
numberfreq
0247
18
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
83.0ms512×0valid
Compiler

Compiled 331 to 79 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 27.0ms (43.4% of total)
ival-div: 14.0ms (22.5% of total)
ival-pi: 7.0ms (11.3% of total)
ival-exp: 7.0ms (11.3% of total)
ival-add: 2.0ms (3.2% of total)
ival-neg: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess214.0ms (1.4%)

Memory
20.9MiB live, 215.6MiB allocated
Algorithm
1×egg-herbie
Rules
2 739×lower-/.f64
2 735×lower-/.f32
2 568×lower-*.f64
2 559×lower-*.f32
1 252×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057175
1192140
2929102
35143102
02533
04333
18328
225222
388920
4244820
5315920
6351520
7391820
8432020
9433220
10524120
11543620
12544920
13545120
14552920
15552920
0833120
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
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
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify372.0ms (2.5%)

Memory
-1.6MiB live, 154.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff64
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff160
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff768
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Rules
2 739×lower-/.f64
2 735×lower-/.f32
2 568×lower-*.f64
2 559×lower-*.f32
1 252×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

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

localize86.0ms (0.6%)

Memory
-4.4MiB live, 76.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.23828125
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy0.296875
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy0.3046875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
36.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 12.0ms (45.8% of total)
ival-div: 6.0ms (22.9% of total)
ival-exp: 4.0ms (15.3% of total)
ival-pi: 1.0ms (3.8% of total)
ival-add: 1.0ms (3.8% of total)
exact: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.2%)

Memory
0.8MiB live, 37.5MiB 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
(* (* (* 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)))

simplify588.0ms (3.9%)

Memory
-161.6MiB live, 180.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 312×lower-fma.f64
7 312×lower-fma.f32
2 681×lower-*.f64
2 681×lower-*.f32
1 238×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite333.0ms (2.2%)

Memory
17.9MiB live, 238.6MiB allocated
Rules
3 222×lower-fma.f64
3 222×lower-fma.f32
3 212×lower-/.f64
3 208×lower-/.f32
2 274×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

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

eval119.0ms (0.8%)

Memory
-14.4MiB live, 136.5MiB allocated
Compiler

Compiled 26 889 to 1 707 computations (93.7% saved)

prune178.0ms (1.2%)

Memory
-12.2MiB live, 317.0MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New67824702
Fresh000
Picked101
Done000
Total67924703
Accuracy
99.9%
Counts
703 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
▶98.9%
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
11.1%
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) r))))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 s r) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))))
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) #s(literal 3/4 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
99.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
▶11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
11.0%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
10.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) r)))) s)))
11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) r))) s)))
11.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal -1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)))) s)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
11.0%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 s r) (PI.f32))))))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
▶9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s))
▶9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
▶99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
Compiler

Compiled 1 642 to 1 016 computations (38.1% saved)

simplify159.0ms (1.1%)

Memory
28.3MiB live, 263.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
cost-diff0
(/.f32 #s(literal 3/4 binary32) r)
cost-diff64
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
cost-diff1056
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
cost-diff0
(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff0
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff0
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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-diff0
(/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))
cost-diff0
(/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s))
cost-diff640
(fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))))
cost-diff0
(*.f32 s r)
cost-diff0
(*.f32 (*.f32 s r) (PI.f32))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
cost-diff0
(/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s))
cost-diff0
(+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (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 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
cost-diff704
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
Rules
3 082×lower-fma.f64
3 077×lower-fma.f32
2 136×lower-*.f64
2 117×lower-*.f32
1 546×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092802
0151799
1278760
2679726
31977705
44774705
57023705
08027699
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
#s(literal -1/3 binary32)
(/.f32 r s)
r
s
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 (*.f32 s r) (PI.f32))
(*.f32 s r)
s
r
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s))
(/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s)
(fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))))
(/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))
(*.f32 r r)
r
(*.f32 (*.f32 (*.f32 s s) s) (PI.f32))
(*.f32 (*.f32 s s) s)
(*.f32 s s)
s
(PI.f32)
#s(literal -7/324 binary32)
(-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
#s(literal 5/72 binary32)
(/.f32 r (*.f32 (*.f32 s s) (PI.f32)))
(*.f32 (*.f32 s s) (PI.f32))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
#s(literal -1/6 binary32)
(*.f32 (PI.f32) s)
(/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))
#s(literal -1/4 binary32)
(*.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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(/.f32 r (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
#s(literal 1/144 binary32)
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
#s(literal 1/8 binary32)
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 #s(literal 3/4 binary32) r)
#s(literal 3/4 binary32)
r
(*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
(exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(*.f32 #s(literal -3 binary32) s)
#s(literal -3 binary32)
s
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))))
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))))
(+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)))
(/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s))
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
#s(literal -1/3 binary32)
(/.f32 r s)
r
s
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
#s(literal 1/4 binary32)
(*.f32 (*.f32 s r) (PI.f32))
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 s r)
s
r
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
(/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s)
(/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s)
(fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))))
(-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))
(/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))
(/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))
(*.f32 r r)
r
(*.f32 (*.f32 (*.f32 s s) s) (PI.f32))
(*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
s
(PI.f32)
#s(literal -7/324 binary32)
(-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)) (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
#s(literal 5/72 binary32)
(/.f32 r (*.f32 (*.f32 s s) (PI.f32)))
(*.f32 (*.f32 s s) (PI.f32))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
#s(literal -1/6 binary32)
(*.f32 (PI.f32) s)
(/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))
#s(literal -1/4 binary32)
(*.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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
(+.f32 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) r) s) (exp.f32 (/.f32 r s)))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) r) s) (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32))
#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 (*.f32 #s(literal 2 binary32) s) r) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 #s(literal 2 binary32) s) (PI.f32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
(fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(/.f32 r (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
#s(literal 1/144 binary32)
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
#s(literal 1/8 binary32)
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))))
(/.f32 #s(literal 3/4 binary32) r)
#s(literal 3/4 binary32)
r
(*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
(*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))
(exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))
(exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(*.f32 #s(literal -3 binary32) s)
#s(literal -3 binary32)
s
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) r) s) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))
#s(literal 1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (*.f32 (PI.f32) r) s)

localize343.0ms (2.3%)

Memory
-24.5MiB live, 582.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.296875
(/.f32 r (*.f32 #s(literal -3 binary32) s))
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.3359375
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
accuracy0.35080998016428755
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
accuracy0.5697280135987649
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
accuracy0.6200359195377763
(fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
accuracy0.718181157516061
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
accuracy28.243891327944038
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))
accuracy0.5669679238209248
(/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))
accuracy0.6433132152050328
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
accuracy14.207056455139622
(fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))))
accuracy28.46402858180044
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s))
accuracy0
(PI.f32)
accuracy0.33984375
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
accuracy0.4069137695368841
(*.f32 (*.f32 s r) (PI.f32))
accuracy28.869933899328704
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
accuracy0.046875
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
accuracy0.06429765584007649
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.642660882807168
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
Samples
222.0ms256×0valid
Compiler

Compiled 700 to 85 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 186.0ms
ival-div: 95.0ms (51.1% of total)
ival-mult: 38.0ms (20.4% of total)
const: 22.0ms (11.8% of total)
ival-exp: 18.0ms (9.7% of total)
ival-add: 8.0ms (4.3% of total)
ival-pi: 1.0ms (0.5% of total)
ival-sub: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (0.6%)

Memory
25.7MiB live, 138.5MiB allocated
Counts
32 → 708
Calls
Call 1
Inputs
#s(alt (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (patch (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (patch (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (patch (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (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 s r) (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 s r) (PI.f32)) (patch (*.f32 (*.f32 s r) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 s r) (patch (*.f32 s r) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) (patch (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s) (patch (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (patch (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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 (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (patch (fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (patch (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 3/4 binary32) r) (patch (/.f32 #s(literal 3/4 binary32) r) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (patch (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal -1/3 binary32) (/.f32 r s)) (patch (*.f32 #s(literal -1/3 binary32) (/.f32 r s)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) s) (patch (*.f32 (PI.f32) s) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (patch (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (patch (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)) (patch #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (patch (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (patch (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r) (patch (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (patch (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (patch (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (patch (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (patch (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r)) (taylor inf r) (#s(alt (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (patch (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) #<representation binary32>) () ())) ())
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#s(alt (/ 1/8 (* r (* s (PI)))) (taylor -inf r) (#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
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#s(alt (/ 1/6 (* s (PI))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor inf s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor inf s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor inf s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor inf s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/6 (* s (PI))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 r) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
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#s(alt (* -1/3 (/ r s)) (taylor 0 r) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 r) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
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#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
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#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
Calls

177 calls:

TimeVariablePointExpression
6.0ms
r
@0
(/ (* r r) (* (* (* s s) s) (PI)))
3.0ms
s
@0
(+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s)))
3.0ms
s
@inf
(+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r))))
1.0ms
r
@inf
(* (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r))
1.0ms
s
@0
(* (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r))

simplify295.0ms (2%)

Memory
-14.3MiB live, 298.3MiB allocated
Algorithm
1×egg-herbie
Rules
3 676×lower-fma.f64
3 676×lower-fma.f32
2 467×lower-*.f64
2 467×lower-*.f32
1 725×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081810270
124609809
271059727
081579458
Stop Event
1×iter limit
1×node limit
Counts
708 → 708
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))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (+ (* -1/2 (/ r (PI))) (* -1/18 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ r (PI))) (* -1/18 (/ r (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 2 (* s (PI)))
(+ (* -4/3 (/ r (* (pow s 2) (PI)))) (* 2 (/ 1 (* s (PI)))))
(+ (* r (- (* 5/9 (/ r (* (pow s 3) (PI)))) (* 4/3 (/ 1 (* (pow s 2) (PI)))))) (* 2 (/ 1 (* s (PI)))))
(+ (* r (- (* r (+ (* -14/81 (/ r (* (pow s 4) (PI)))) (* 5/9 (/ 1 (* (pow s 3) (PI)))))) (* 4/3 (/ 1 (* (pow s 2) (PI)))))) (* 2 (/ 1 (* s (PI)))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s)
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s)
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s)
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) s)
(/ 2 (* s (PI)))
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/3 (/ r (* s (PI)))) (* 2 (/ 1 (PI))))) s)
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/3 (/ r (* s (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/2 (/ (pow r 2) (* (pow s 2) (PI)))) (* 2 (/ 1 (PI))))))) s)
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/3 (/ r (* s (PI)))) (+ (* -1/6 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* -1/162 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/2 (/ (pow r 2) (* (pow s 2) (PI)))) (* 2 (/ 1 (PI))))))))) s)
(/ 2 (* s (PI)))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (* 2 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (+ (* -1 (/ (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (pow r 2) (PI)))) s)) (* -1/3 (/ r (PI))))) s)) (* 2 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (pow r 3) (PI)))) s)) (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (pow r 2) (PI))))) s)) (* -1/3 (/ r (PI))))) s)) (* 2 (/ 1 (PI)))) s))
(/ 1 (* s (PI)))
(+ (* -1/3 (/ r (* (pow s 2) (PI)))) (/ 1 (* s (PI))))
(+ (* r (- (* 1/18 (/ r (* (pow s 3) (PI)))) (* 1/3 (/ 1 (* (pow s 2) (PI)))))) (/ 1 (* s (PI))))
(+ (* r (- (* r (+ (* -1/162 (/ r (* (pow s 4) (PI)))) (* 1/18 (/ 1 (* (pow s 3) (PI)))))) (* 1/3 (/ 1 (* (pow s 2) (PI)))))) (/ 1 (* s (PI))))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ (exp (* -1/3 (/ r s))) (* s (PI)))
(/ 1 (* s (PI)))
(/ (+ (* -1/3 (/ r (* s (PI)))) (/ 1 (PI))) s)
(/ (+ (* -1/3 (/ r (* s (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (/ 1 (PI)))) s)
(/ (+ (* -1/3 (/ r (* s (PI)))) (+ (* -1/162 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (/ 1 (PI))))) s)
(/ 1 (* s (PI)))
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(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) 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 (fma.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) 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 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI)))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s r))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 5/9 binary32) s)) #s(literal 1/8 binary32) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (/.f32 #s(literal -14/81 binary32) (*.f32 s s)) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 5/9 binary32) s))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))))
(* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (+ (* -1/2 (/ r (PI))) (* -1/18 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -5/9 binary32) (/.f32 r (PI.f32))) s) #s(literal -1/8 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ r (PI))) (* -1/18 (/ r (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 r (/.f32 r (PI.f32)))) #s(literal -14/81 binary32)) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) 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 (fma.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) 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 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) s))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s 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 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s 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 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))))
(* -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 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s 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 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
(/ 2 (* s (PI)))
(/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))
(+ (* -4/3 (/ r (* (pow s 2) (PI)))) (* 2 (/ 1 (* s (PI)))))
(fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))
(+ (* r (- (* 5/9 (/ r (* (pow s 3) (PI)))) (* 4/3 (/ 1 (* (pow s 2) (PI)))))) (* 2 (/ 1 (* s (PI)))))
(fma.f32 (fma.f32 (/.f32 #s(literal 5/9 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r (/.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))
(+ (* r (- (* r (+ (* -14/81 (/ r (* (pow s 4) (PI)))) (* 5/9 (/ 1 (* (pow s 3) (PI)))))) (* 4/3 (/ 1 (* (pow s 2) (PI)))))) (* 2 (/ 1 (* s (PI)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) (/.f32 #s(literal 5/9 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) r (/.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
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(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))

rewrite310.0ms (2.1%)

Memory
45.1MiB live, 388.2MiB allocated
Rules
2 943×lower-*.f64
2 924×lower-*.f32
1 989×lower-fma.f64
1 984×lower-fma.f32
1 711×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092598
0151592
1553558
25501558
08958553
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
32 → 924
Calls
Call 1
Inputs
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.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 (*.f32 s r) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
(*.f32 (*.f32 s r) (PI.f32))
(*.f32 s r)
(fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.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 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s))
(/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s)
(/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 3/4 binary32) r)
(*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 (PI.f32) s)
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(PI.f32)
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
Outputs
(*.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))))) (/.f32 #s(literal 1 binary32) r))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))))
(*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))))) (neg.f32 r))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))))) (*.f32 r #s(literal 8 binary32)))
(/.f32 (*.f32 (-.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) (/.f32 #s(literal 1/8 binary32) r)) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)))
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)) (-.f32 (+.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))))
(/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (/.f32 #s(literal 1/8 binary32) r)) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (-.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) (*.f32 (PI.f32) s))))) (-.f32 (+.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) #s(literal -1/8 binary32)) (neg.f32 r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) #s(literal 1 binary32)) (*.f32 r #s(literal 8 binary32)))
(/.f32 (neg.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))))) (neg.f32 r))
(/.f32 (*.f32 #s(literal -1/8 binary32) (-.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))) (*.f32 (neg.f32 r) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s))))
(/.f32 (*.f32 #s(literal -1/8 binary32) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) (*.f32 (PI.f32) s))))) (*.f32 (neg.f32 r) (-.f32 (+.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))))
(/.f32 (*.f32 #s(literal -1/8 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))))) (*.f32 (neg.f32 r) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))) (*.f32 (*.f32 r #s(literal 8 binary32)) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) (*.f32 (PI.f32) s))))) (*.f32 (*.f32 r #s(literal 8 binary32)) (-.f32 (+.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))))) (*.f32 (*.f32 r #s(literal 8 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))) (*.f32 r (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) (*.f32 (PI.f32) s))))) (*.f32 r (-.f32 (+.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))))) (*.f32 r (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))
(/.f32 (*.f32 (-.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) #s(literal -1/8 binary32)) (*.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)) (neg.f32 r)))
(/.f32 (*.f32 (-.f32 (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) s) r (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)) (*.f32 r #s(literal 8 binary32))))
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(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))
(/.f32 #s(literal 1/6 binary32) (neg.f32 (*.f32 (neg.f32 s) (PI.f32))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
(/.f32 #s(literal -1/6 binary32) (*.f32 (neg.f32 s) (PI.f32)))
(pow.f32 (/.f32 s (/.f32 #s(literal 1/6 binary32) (PI.f32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 r #s(literal 3 binary32)))
(*.f32 (*.f32 r #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal -1 binary32) (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 r))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))
(*.f32 (neg.f32 r) (/.f32 #s(literal 1/3 binary32) s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 r (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/3 binary32)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(/.f32 (*.f32 (neg.f32 r) #s(literal -1/3 binary32)) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1/3 binary32) (neg.f32 r)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 r) #s(literal 1 binary32)) (*.f32 #s(literal 3 binary32) s))
(/.f32 (neg.f32 (*.f32 r #s(literal -1/3 binary32))) (neg.f32 s))
(/.f32 (*.f32 r #s(literal 1 binary32)) (*.f32 #s(literal -3 binary32) s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 r #s(literal -1/3 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal -3 binary32) (/.f32 s r)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 #s(literal 3 binary32) s)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(-.f32 #s(literal 0 binary32) (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(pow.f32 (/.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r))) #s(literal -1 binary32)))
(neg.f32 (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))

eval326.0ms (2.2%)

Memory
3.4MiB live, 585.6MiB allocated
Compiler

Compiled 81 458 to 5 640 computations (93.1% saved)

prune581.0ms (3.9%)

Memory
-9.9MiB live, 851.9MiB allocated
Pruning

67 alts after pruning (64 fresh and 3 done)

PrunedKeptTotal
New2 149532 202
Fresh81119
Picked235
Done000
Total2 159672 226
Accuracy
99.9%
Counts
2 226 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.9%
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
10.3%
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) #s(approx (* (exp (/ r (* -3 s))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
62.7%
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r))
11.1%
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) r))))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 s r) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))))
11.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) r))) s)))
11.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal -1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)))) s)))
11.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
6.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) #s(approx (/ (+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s))) r) (*.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r))))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/4 binary32) s)) r #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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/24 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/8 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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
8.9%
(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
9.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/48 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 #s(literal 1/16 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
9.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/48 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/16 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) r)))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
✓9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
▶9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) (*.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))))) s))
60.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) r)))
99.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (*.f32 r #s(literal 8 binary32))))
10.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
3.6%
#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 r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s r) s) (PI.f32))) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) (*.f32 r r))) s))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
▶9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))))) (/.f32 #s(literal 1 binary32) s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
98.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
▶99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
✓99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
▶10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) r) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 r r) r) s) #s(literal -1/162 binary32) (*.f32 (*.f32 #s(literal 1/18 binary32) r) r)) s)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/162 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/18 binary32))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) #s(literal 1 binary32)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
10.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 #s(approx (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 s s) (PI.f32)))) #s(literal 1/18 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 #s(approx (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 s s) (PI.f32)))) #s(literal 1/18 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
9.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 5/9 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r (/.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
▶4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s r))))
Compiler

Compiled 3 981 to 2 376 computations (40.3% saved)

simplify157.0ms (1.1%)

Memory
-7.7MiB live, 218.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s))
cost-diff0
(+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
cost-diff0
(*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
cost-diff0
(/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))
cost-diff0
#s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
cost-diff512
(fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32)))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 s r))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
cost-diff192
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32)))
cost-diff992
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
cost-diff0
(*.f32 (PI.f32) r)
cost-diff0
(*.f32 (*.f32 (PI.f32) r) s)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
cost-diff0
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s))
cost-diff0
(+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
cost-diff0
(*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Rules
3 867×lower-fma.f64
3 863×lower-fma.f32
2 748×lower-*.f64
2 736×lower-*.f32
1 789×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101853
0148845
1277796
2648746
31999732
45262732
08069724
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s))
(pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))
(E.f32)
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
s
r
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 (PI.f32) r)
(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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s r))
#s(literal 1/4 binary32)
(*.f32 s r)
s
r
(sqrt.f32 (PI.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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))))
(/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))
(fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32)))
(*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))
(/.f32 r (PI.f32))
r
(PI.f32)
#s(literal 5/72 binary32)
s
(*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))
(*.f32 r (/.f32 r (PI.f32)))
#s(literal -7/324 binary32)
(pow.f32 s #s(literal 4 binary32))
#s(literal 4 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s))
#s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))
(fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s))
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(/.f32 r (*.f32 (*.f32 s s) s))
r
(*.f32 (*.f32 s s) s)
(*.f32 s s)
s
#s(literal -1/162 binary32)
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
#s(literal 1/18 binary32)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
#s(literal 1 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) s)))))
(*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) s))))
(+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) s)))
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s))
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) s))
(pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(E.f32)
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
s
r
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 (*.f32 s r) (PI.f32))
(*.f32 (PI.f32) r)
(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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 s r))
#s(literal 1/4 binary32)
(*.f32 s r)
s
r
(sqrt.f32 (PI.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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (*.f32 (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)) (pow.f32 s #s(literal 4 binary32))))))
#s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))))
#s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (*.f32 (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)) (pow.f32 s #s(literal 4 binary32)))))
(/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))
(*.f32 (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)) (pow.f32 s #s(literal 4 binary32))))
(fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32)))
(*.f32 (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)) (/.f32 r (PI.f32)))
(*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))
(*.f32 (/.f32 #s(literal 5/72 binary32) (PI.f32)) r)
(/.f32 r (PI.f32))
r
(PI.f32)
#s(literal 5/72 binary32)
s
(*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))
(*.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -7/324 binary32)) r)
(*.f32 r (/.f32 r (PI.f32)))
(*.f32 (/.f32 r (PI.f32)) r)
#s(literal -7/324 binary32)
(pow.f32 s #s(literal 4 binary32))
#s(literal 4 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s))
(/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s))
#s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)))
#s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))
(fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) r (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s))
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(fma.f32 (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(/.f32 r (*.f32 (*.f32 s s) s))
r
(*.f32 (*.f32 s s) s)
(*.f32 s s)
s
#s(literal -1/162 binary32)
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
#s(literal 1/18 binary32)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
#s(literal 1 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)

localize331.0ms (2.2%)

Memory
27.4MiB live, 463.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.46240663450497377
(fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))
accuracy0.7188141427181253
(fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s))
accuracy13.938571325177046
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
accuracy28.17253424128545
#s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)))
accuracy0.328125
(/.f32 r (PI.f32))
accuracy0.5107612793053261
(*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))
accuracy3.2770934078993523
#s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))))
accuracy28.46402858180044
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
accuracy0.27734375
(/.f32 #s(literal 1/4 binary32) (*.f32 s r))
accuracy0.4633450455554721
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy0.509087192980316
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32)))
accuracy28.869933899328704
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
accuracy0.28515625
(*.f32 (*.f32 (PI.f32) r) s)
accuracy0.3359375
(*.f32 (PI.f32) r)
accuracy0.33984375
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
accuracy28.869933899328704
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
accuracy0.07046385764147388
(pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))
accuracy0.23046875
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.390625
(/.f32 #s(literal -1/3 binary32) s)
Samples
203.0ms256×0valid
Compiler

Compiled 601 to 92 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-div: 73.0ms (42.2% of total)
ival-mult: 46.0ms (26.6% of total)
const: 17.0ms (9.8% of total)
ival-add: 13.0ms (7.5% of total)
ival-pow: 9.0ms (5.2% of total)
ival-exp: 6.0ms (3.5% of total)
ival-e: 2.0ms (1.2% of total)
ival-sqrt: 2.0ms (1.2% of total)
ival-pi: 1.0ms (0.6% of total)
ival-sub: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series100.0ms (0.7%)

Memory
-12.0MiB live, 179.6MiB allocated
Counts
30 → 660
Calls
Call 1
Inputs
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (patch (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (patch (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (patch (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) 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 (PI.f32) r) s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) r) s) (patch (*.f32 (*.f32 (PI.f32) r) s) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) r) (patch (*.f32 (PI.f32) r) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (patch (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (patch (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (patch (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))) (patch #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))) (patch (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (patch (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (patch (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (patch (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/3 binary32) s) (patch (/.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) s) (patch (*.f32 (PI.f32) s) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal -1/3 binary32) s) r) (patch (*.f32 (/.f32 #s(literal -1/3 binary32) s) r) #<representation binary32>) () ())
#s(alt (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (patch (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) (patch (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (patch #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) (patch (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())) ())
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#s(alt (/ -1/3 s) (taylor -inf s) (#s(alt (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) (patch (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1/3 (* -1/18 (/ r s))) s)) (taylor -inf s) (#s(alt (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) (patch (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1/3 (* -1 (/ (+ (* -1/162 (/ (pow r 2) s)) (* 1/18 r)) s))) s)) (taylor -inf s) (#s(alt (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) (patch (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1/3 (* -1 (/ (+ (* -1/162 (/ (pow r 2) s)) (* 1/18 r)) s))) s)) (taylor -inf s) (#s(alt (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) (patch (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/3 (/ r s))) (taylor 0 r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s))))) (taylor 0 r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s))))) (taylor 0 r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) (pow s 3))) (taylor inf r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow r 3) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3))))) (taylor inf r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow r 3) (- (/ 1/18 (* r (pow s 2))) (+ (* 1/162 (/ 1 (pow s 3))) (/ 1/3 (* (pow r 2) s))))) (taylor inf r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (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)))))) (taylor inf r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) (pow s 3))) (taylor -inf r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow r 3) (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2))))))) (taylor -inf r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow r 3) (+ (* -1 (/ (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))) r)) (* 1/162 (/ 1 (pow s 3)))))) (taylor -inf r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -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)))))) (taylor -inf r) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/162 (/ (pow r 3) (pow s 3))) (taylor 0 s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/162 (pow r 3)) (* 1/18 (* (pow r 2) s))) (pow s 3)) (taylor 0 s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/162 (pow r 3)) (* s (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))))) (pow s 3)) (taylor 0 s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/162 (pow r 3)) (* s (+ (* 1/18 (pow r 2)) (* s (+ s (* -1/3 r)))))) (pow s 3)) (taylor 0 s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/3 (/ r s))) (taylor inf s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2))))) (taylor inf s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2)))))) (taylor inf s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/3 (/ r s))) (taylor -inf s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s))) (taylor -inf s) (#s(alt (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<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 (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
Calls

165 calls:

TimeVariablePointExpression
12.0ms
s
@0
(+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s)))
8.0ms
s
@-inf
(* (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r))
6.0ms
r
@0
(+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s))
3.0ms
s
@inf
(/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4))
2.0ms
s
@inf
(* (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r))

simplify206.0ms (1.4%)

Memory
-5.5MiB live, 311.4MiB allocated
Algorithm
1×egg-herbie
Rules
3 291×lower-fma.f64
3 291×lower-fma.f32
2 227×lower-*.f64
2 227×lower-*.f32
1 285×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082510281
125209263
274619179
080948917
Stop Event
1×iter limit
1×node limit
Counts
660 → 660
Calls
Call 1
Inputs
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* 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))
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(/ -1/3 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))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
1
(+ 1 (* -1/3 (/ (* r (log (E))) s)))
(+ 1 (+ (* -1/3 (/ (* r (log (E))) s)) (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ (* r (log (E))) s)) (+ (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) (pow s 3))) (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (pow s 2))))))
1
(+ 1 (* -1/3 (/ (* r (log (E))) s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (* (pow r 2) (pow (log (E)) 2)) s)) (* 1/3 (* r (log (E))))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) s)) (* 1/18 (* (pow r 2) (pow (log (E)) 2)))) s)) (* 1/3 (* r (log (E))))) s)))
1
(+ 1 (* -1/3 (/ (* r (log (E))) s)))
(+ 1 (* r (+ (* -1/3 (/ (log (E)) s)) (* 1/18 (/ (* r (pow (log (E)) 2)) (pow s 2))))))
(+ 1 (* r (+ (* -1/3 (/ (log (E)) s)) (* r (+ (* -1/162 (/ (* r (pow (log (E)) 3)) (pow s 3))) (* 1/18 (/ (pow (log (E)) 2) (pow s 2))))))))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(* 5/72 (/ r (PI)))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
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)))
(/ 1/18 (pow s 2))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(* -1/162 (/ r (pow s 3)))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* -1/162 (/ r (pow s 3)))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1/162 (/ r (pow s 3)))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/ 1/18 (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ 1/18 (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ -1/3 s)
(- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))
(- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))
(- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))
(* -1/162 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* (pow r 2) (- (/ 1/18 (* r (pow s 2))) (+ (* 1/162 (/ 1 (pow s 3))) (/ 1/3 (* (pow r 2) s)))))
(* (pow r 2) (- (/ 1/18 (* r (pow s 2))) (+ (* 1/162 (/ 1 (pow s 3))) (/ 1/3 (* (pow r 2) s)))))
(* -1/162 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* (pow r 2) (- (* -1 (/ (- (* 1/3 (/ 1 (* r s))) (* 1/18 (/ 1 (pow s 2)))) r)) (* 1/162 (/ 1 (pow s 3)))))
(* (pow r 2) (- (* -1 (/ (- (* 1/3 (/ 1 (* r s))) (* 1/18 (/ 1 (pow s 2)))) r)) (* 1/162 (/ 1 (pow s 3)))))
(* -1/162 (/ (pow r 2) (pow s 3)))
(/ (+ (* -1/162 (pow r 2)) (* 1/18 (* r s))) (pow s 3))
(/ (+ (* -1/162 (pow r 2)) (* s (+ (* -1/3 s) (* 1/18 r)))) (pow s 3))
(/ (+ (* -1/162 (pow r 2)) (* s (+ (* -1/3 s) (* 1/18 r)))) (pow s 3))
(/ -1/3 s)
(/ (- (* 1/18 (/ r s)) 1/3) s)
(/ (- (+ (* -1/162 (/ (pow r 2) (pow s 2))) (* 1/18 (/ r s))) 1/3) s)
(/ (- (+ (* -1/162 (/ (pow r 2) (pow s 2))) (* 1/18 (/ r s))) 1/3) s)
(/ -1/3 s)
(* -1 (/ (+ 1/3 (* -1/18 (/ r s))) s))
(* -1 (/ (+ 1/3 (* -1 (/ (+ (* -1/162 (/ (pow r 2) s)) (* 1/18 r)) s))) s))
(* -1 (/ (+ 1/3 (* -1 (/ (+ (* -1/162 (/ (pow r 2) s)) (* 1/18 r)) s))) 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)))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(* (pow r 3) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* (pow r 3) (- (/ 1/18 (* r (pow s 2))) (+ (* 1/162 (/ 1 (pow s 3))) (/ 1/3 (* (pow r 2) s)))))
(* (pow r 3) (- (+ (/ 1/18 (* r (pow s 2))) (/ 1 (pow r 3))) (+ (* 1/162 (/ 1 (pow s 3))) (* 1/3 (/ 1 (* (pow r 2) s))))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(* -1 (* (pow r 3) (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))) r)) (* 1/162 (/ 1 (pow s 3))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 s)) (/ 1 r)) r)) (* 1/18 (/ 1 (pow s 2)))) r)) (* 1/162 (/ 1 (pow s 3))))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(/ (+ (* -1/162 (pow r 3)) (* 1/18 (* (pow r 2) s))) (pow s 3))
(/ (+ (* -1/162 (pow r 3)) (* s (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))))) (pow s 3))
(/ (+ (* -1/162 (pow r 3)) (* s (+ (* 1/18 (pow r 2)) (* s (+ s (* -1/3 r)))))) (pow s 3))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ 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)))
Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) 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 (fma.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) s) s))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) 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 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) s) s))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) s))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) 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)
(/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (-.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -7/324 binary32) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) 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 (-.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) (*.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal -7/324 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) (* r s)))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) (*.f32 s r)) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) (* r s)))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) (*.f32 s r)) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) (* r s)))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) (*.f32 s r)) #s(literal 1/8 binary32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ (* r (log (E))) s))) (PI))) (* r s)))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) (*.f32 s r)) #s(literal 1/8 binary32))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
(/ (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))) s)
(/.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
(/ (+ (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI)))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 5/9 binary32) s) (-.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
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(*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 s r) s)))) (*.f32 (*.f32 r r) r))
(* -1 (* (pow r 3) (+ (* -1 (/ (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))) r)) (* 1/162 (/ 1 (pow s 3))))))
(*.f32 (*.f32 (neg.f32 r) (*.f32 r r)) (-.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s)) (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 s r) s)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 s r) r)))))
(* -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))))))
(*.f32 (*.f32 (neg.f32 r) (*.f32 r r)) (-.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (*.f32 r r)))) r)))
(* -1/162 (/ (pow r 3) (pow s 3)))
(*.f32 (*.f32 (*.f32 r r) r) (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)))
(/ (+ (* -1/162 (pow r 3)) (* 1/18 (* (pow r 2) s))) (pow s 3))
(/.f32 (fma.f32 (*.f32 (*.f32 s r) r) #s(literal 1/18 binary32) (*.f32 (*.f32 (*.f32 r r) r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))
(/ (+ (* -1/162 (pow r 3)) (* s (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) r) s (*.f32 (*.f32 #s(literal 1/18 binary32) r) r)) s (*.f32 (*.f32 (*.f32 r r) r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))
(/ (+ (* -1/162 (pow r 3)) (* s (+ (* 1/18 (pow r 2)) (* s (+ s (* -1/3 r)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) r s) s (*.f32 (*.f32 #s(literal 1/18 binary32) r) r)) s (*.f32 (*.f32 (*.f32 r r) r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 #s(literal -1/3 binary32) s) r #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 r r) r) (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 #s(literal -1/3 binary32) s) r #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) r) (/.f32 (fma.f32 (*.f32 #s(literal 1/18 binary32) r) r (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) s)) s))

rewrite484.0ms (3.2%)

Memory
15.6MiB live, 304.0MiB allocated
Rules
2 556×lower-*.f64
2 544×lower-*.f32
1 898×lower-/.f64
1 884×lower-/.f32
1 353×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101733
0148705
1595663
26019663
08145654
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 735
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.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 (*.f32 (PI.f32) r) s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 (PI.f32) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s 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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s r))
(fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))))
(/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s))
(/.f32 #s(literal -1/3 binary32) s)
(*.f32 (PI.f32) s)
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))
(*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))
(/.f32 r (PI.f32))
#s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32)))
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s))
(fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))))
(*.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))) (/.f32 #s(literal 1 binary32) r))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))))
(*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))) (neg.f32 r))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 r #s(literal 8 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal -2 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1/8 binary32) r)) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)))
(/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (*.f32 (PI.f32) s) #s(literal -3 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -3 binary32))) (/.f32 #s(literal 1/8 binary32) r)) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) s))) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal -2 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)) s (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (-.f32 (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal -2 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32)))) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (*.f32 (PI.f32) s) #s(literal -3 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -3 binary32)))) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) s))) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal -2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (fma.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)) s (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) #s(literal -1/8 binary32)) (neg.f32 r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) #s(literal 1 binary32)) (*.f32 r #s(literal 8 binary32)))
(/.f32 (neg.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))))) (neg.f32 r))
(/.f32 (*.f32 #s(literal -1/8 binary32) (-.f32 (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal -2 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32)))) (*.f32 (neg.f32 r) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s))))
(/.f32 (*.f32 #s(literal -1/8 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (*.f32 (PI.f32) s) #s(literal -3 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -3 binary32)))) (*.f32 (neg.f32 r) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) s))) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal -2 binary32)))))
(/.f32 (*.f32 #s(literal -1/8 binary32) (fma.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)) s (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))) (*.f32 (neg.f32 r) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal -2 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32)))) (*.f32 (*.f32 r #s(literal 8 binary32)) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s))))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (*.f32 (PI.f32) s) #s(literal -3 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -3 binary32)))) (*.f32 (*.f32 r #s(literal 8 binary32)) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) s))) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal -2 binary32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)) s (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 r #s(literal 8 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal -2 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32)))) (*.f32 r (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s))))
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(+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r))

eval328.0ms (2.2%)

Memory
-8.6MiB live, 218.9MiB allocated
Compiler

Compiled 47 993 to 3 375 computations (93% saved)

prune982.0ms (6.6%)

Memory
-19.0MiB live, 856.3MiB allocated
Pruning

90 alts after pruning (85 fresh and 5 done)

PrunedKeptTotal
New1 471431 514
Fresh174259
Picked325
Done033
Total1 491901 581
Accuracy
99.9%
Counts
1 581 → 90
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.9%
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
10.3%
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) #s(approx (* (exp (/ r (* -3 s))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
62.7%
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r))
11.1%
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) r))))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 s r) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))))
11.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal -1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)))) s)))
11.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
6.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) #s(approx (/ (+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s))) r) (*.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r))))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/4 binary32) s)) r #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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/24 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/8 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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
8.9%
(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
9.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/48 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 #s(literal 1/16 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
9.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/48 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/16 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
▶8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
10.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r))))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
✓9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s))
▶10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) s))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s r)) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.f32)) r)) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) r) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) (*.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))))) s))
60.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) r)))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))))) (*.f32 r #s(literal 8 binary32))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r #s(literal 8 binary32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 s r))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
10.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
3.6%
#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 r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s r) s) (PI.f32))) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) (*.f32 r r))) s))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r) (sqrt.f32 (PI.f32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
▶9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
▶99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))))) (/.f32 #s(literal 1 binary32) s)))
10.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))))) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32)))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) #s(literal 2 binary32)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
98.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
✓99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (PI.f32)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
✓99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
11.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) r) (/.f32 (fma.f32 (*.f32 #s(literal 1/18 binary32) r) r (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) s)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) #s(literal 1 binary32)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 #s(approx (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) (/.f32 (fma.f32 #s(literal -1/162 binary32) r (*.f32 #s(literal 1/18 binary32) s)) (*.f32 (*.f32 s s) s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
▶11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) #s(approx (+ (* (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) r) 1) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) r s) s (*.f32 (*.f32 #s(literal 1/18 binary32) r) r)) s (*.f32 (*.f32 (*.f32 r r) r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
6.1%
#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 (/.f32 #s(approx (exp (* -1/3 (/ r s))) #s(approx (+ (* (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) r) 1) (/.f32 (fma.f32 (*.f32 (*.f32 s r) r) #s(literal 1/18 binary32) (*.f32 (*.f32 (*.f32 r r) r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
4.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) #s(approx (+ (* (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) r) 1) (*.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 s r) s)) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 (*.f32 r r) r)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
9.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 5/9 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r (/.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (*.f32 s s) s)))))
5.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 binary32)))))
99.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) (*.f32 s r)) #s(literal 1/8 binary32))))
Compiler

Compiled 4 919 to 2 947 computations (40.1% saved)

simplify184.0ms (1.2%)

Memory
11.0MiB live, 206.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s))
cost-diff0
(+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (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 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
cost-diff704
(*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
cost-diff0
(*.f32 (*.f32 (PI.f32) r) s)
cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))
cost-diff0
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
cost-diff0
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
cost-diff0
(/.f32 r (*.f32 (*.f32 (PI.f32) s) s))
cost-diff0
(fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
cost-diff0
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
cost-diff0
(*.f32 (PI.f32) s)
cost-diff0
(*.f32 (*.f32 (PI.f32) s) r)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
cost-diff0
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32)))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
cost-diff704
(*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
cost-diff3840
(fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
Rules
2 300×lower-*.f64
2 287×lower-*.f32
2 003×lower-fma.f64
1 996×lower-fma.f32
1 414×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0971105
01501105
12721028
2575998
31506986
43377956
54134956
64514956
75137956
85522956
95655956
107131956
08112942
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32)))
(E.f32)
(*.f32 (/.f32 r s) #s(literal -1/6 binary32))
(/.f32 r s)
r
s
#s(literal -1/6 binary32)
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(/.f32 r (*.f32 (*.f32 (PI.f32) s) s))
r
(*.f32 (*.f32 (PI.f32) s) s)
(*.f32 (PI.f32) s)
(PI.f32)
s
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))
#s(literal 1/8 binary32)
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 (PI.f32) r)
(PI.f32)
r
s
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(/.f32 r (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
#s(literal 1/144 binary32)
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s))
#s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)))
(fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))
#s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s)))
(/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))
(fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r))
(fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s))
#s(literal 1/18 binary32)
r
(*.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
s
(*.f32 (*.f32 #s(literal -1/162 binary32) r) r)
(*.f32 #s(literal -1/162 binary32) r)
#s(literal -1/162 binary32)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
#s(literal 1 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 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 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
(*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(*.f32 (+.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32))))
(fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32)))
(pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/6 binary32) s) r))
(E.f32)
(*.f32 (/.f32 r s) #s(literal -1/6 binary32))
(*.f32 (/.f32 #s(literal -1/6 binary32) s) r)
(/.f32 r s)
r
s
#s(literal -1/6 binary32)
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s))
(/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/6 binary32) s) r)) (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (*.f32 s r) (PI.f32))
(*.f32 (PI.f32) s)
(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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(/.f32 r (*.f32 (*.f32 (PI.f32) s) s))
(/.f32 r (*.f32 (*.f32 s s) (PI.f32)))
r
(*.f32 (*.f32 (PI.f32) s) s)
(*.f32 (*.f32 s s) (PI.f32))
(*.f32 (PI.f32) s)
(PI.f32)
s
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
(+.f32 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 (*.f32 s r) (PI.f32))
(*.f32 (PI.f32) r)
(PI.f32)
r
s
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
(fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(fma.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(/.f32 r (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
#s(literal 1/144 binary32)
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(*.f32 s s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) s (*.f32 #s(literal -1/162 binary32) r)) r (*.f32 #s(literal -1/3 binary32) (*.f32 s s))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
(*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(*.f32 (+.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) s (*.f32 #s(literal -1/162 binary32) r)) r (*.f32 #s(literal -1/3 binary32) (*.f32 s s))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32))))
(+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) s (*.f32 #s(literal -1/162 binary32) r)) r (*.f32 #s(literal -1/3 binary32) (*.f32 s s))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s))
(/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) s (*.f32 #s(literal -1/162 binary32) r)) r (*.f32 #s(literal -1/3 binary32) (*.f32 s s))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s))
#s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)))
#s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) s (*.f32 #s(literal -1/162 binary32) r)) r (*.f32 #s(literal -1/3 binary32) (*.f32 s s))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)))
(fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))
(fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) s (*.f32 #s(literal -1/162 binary32) r)) r (*.f32 #s(literal -1/3 binary32) (*.f32 s s))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))
#s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s)))
#s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) s (*.f32 #s(literal -1/162 binary32) r)) r (*.f32 #s(literal -1/3 binary32) (*.f32 s s))) (*.f32 (*.f32 s s) s)))
(/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))
(/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) s (*.f32 #s(literal -1/162 binary32) r)) r (*.f32 #s(literal -1/3 binary32) (*.f32 s s))) (*.f32 (*.f32 s s) s))
(fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r))
(fma.f32 (fma.f32 #s(literal 1/18 binary32) s (*.f32 #s(literal -1/162 binary32) r)) r (*.f32 #s(literal -1/3 binary32) (*.f32 s s)))
(fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s))
#s(literal 1/18 binary32)
r
(*.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
s
(*.f32 (*.f32 #s(literal -1/162 binary32) r) r)
(*.f32 (*.f32 r r) #s(literal -1/162 binary32))
(*.f32 #s(literal -1/162 binary32) r)
#s(literal -1/162 binary32)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
#s(literal 1 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)

localize314.0ms (2.1%)

Memory
3.4MiB live, 554.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.38671875
(*.f32 #s(literal -1/3 binary32) s)
accuracy0.46240663450497377
(fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))
accuracy0.90479508320958
(/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))
accuracy28.17253424128545
#s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)))
accuracy0.6200359195377763
(fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
accuracy0.718181157516061
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
accuracy28.243891327944038
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))
accuracy28.947862807435907
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.5035479956670426
(fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
accuracy0.8570067948773903
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
accuracy28.731898246560984
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
accuracy0.23828125
(*.f32 (*.f32 (PI.f32) s) r)
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.33984375
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
accuracy28.869933899328704
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
accuracy0.046875
(*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
accuracy0.05336632069442182
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32)))
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.7449629543047572
(*.f32 (/.f32 r s) #s(literal -1/6 binary32))
Samples
197.0ms256×0valid
Compiler

Compiled 711 to 90 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 48.0ms (28.2% of total)
ival-div: 44.0ms (25.9% of total)
ival-add: 41.0ms (24.1% of total)
const: 19.0ms (11.2% of total)
ival-pow: 7.0ms (4.1% of total)
ival-exp: 6.0ms (3.5% of total)
ival-e: 2.0ms (1.2% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series87.0ms (0.6%)

Memory
-5.6MiB live, 191.0MiB allocated
Counts
28 → 648
Calls
Call 1
Inputs
#s(alt (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (patch (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (patch (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())
#s(alt (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (patch (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) s) r) (patch (*.f32 (*.f32 (PI.f32) s) r) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) s) (patch (*.f32 (PI.f32) s) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r) (patch (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) (patch (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (patch (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #<representation binary32>) () ())
#s(alt (+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))) (patch (+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) (patch #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) r) s) (patch (*.f32 (*.f32 (PI.f32) r) s) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) (patch (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (patch (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (patch (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 r s) #s(literal -1/6 binary32)) (patch (*.f32 (/.f32 r s) #s(literal -1/6 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)) (patch #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (patch (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (patch (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (patch #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s)) (patch (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) (patch (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal -1/3 binary32) s) (patch (*.f32 #s(literal -1/3 binary32) s) #<representation binary32>) () ())
Outputs
#s(alt (/ 2 (* s (PI))) (taylor 0 r) (#s(alt (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (patch (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (+ (* r (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))) (* 2 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (patch (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (+ (* r (- (+ (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (* r (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI))))))) (/ 1 (* (pow s 2) (PI))))) (* 2 (/ 1 (* s (PI))))) (taylor 0 r) (#s(alt (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (patch (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2)))))) (taylor inf s) (#s(alt (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) (patch (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf s) (#s(alt (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) (patch (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/3 (/ r s))) (taylor -inf s) (#s(alt (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) (patch (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s))) (taylor -inf s) (#s(alt (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) (patch (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) #<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 (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) (patch (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)) #<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
4.0ms
r
@0
(* (+ (* (pow (E) (* (/ r s) -1/6)) (/ (pow (E) (* (/ r s) -1/6)) (* (PI) s))) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r))
2.0ms
s
@-inf
(* (/ r s) -1/6)
1.0ms
s
@inf
(+ (* (pow (E) (* (/ r s) -1/6)) (/ (pow (E) (* (/ r s) -1/6)) (* (PI) s))) (/ (exp (/ (neg r) s)) (* (PI) s)))
1.0ms
s
@-inf
(+ (* (pow (E) (* (/ r s) -1/6)) (/ (pow (E) (* (/ r s) -1/6)) (* (PI) s))) (/ (exp (/ (neg r) s)) (* (PI) s)))
1.0ms
r
@-inf
(* (+ (* (pow (E) (* (/ r s) -1/6)) (/ (pow (E) (* (/ r s) -1/6)) (* (PI) s))) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r))

simplify226.0ms (1.5%)

Memory
25.3MiB live, 287.7MiB allocated
Algorithm
1×egg-herbie
Rules
3 797×lower-fma.f64
3 797×lower-fma.f32
2 516×lower-*.f64
2 516×lower-*.f32
1 483×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087210102
126869402
279629384
081719122
Stop Event
1×iter limit
1×node limit
Counts
648 → 648
Calls
Call 1
Inputs
(/ 2 (* s (PI)))
(+ (* r (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))) (* 2 (/ 1 (* s (PI)))))
(+ (* r (- (+ (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (* r (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI))))))) (/ 1 (* (pow s 2) (PI))))) (* 2 (/ 1 (* s (PI)))))
(+ (* r (- (+ (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (* r (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (+ (* 1/2 (/ 1 (* (pow s 3) (PI)))) (* r (- (+ (* -1/216 (/ (pow (log (E)) 3) (* (pow s 4) (PI)))) (* -1/648 (/ (pow (log (E)) 3) (* (pow s 4) (PI))))) (* 1/6 (/ 1 (* (pow s 4) (PI)))))))))) (/ 1 (* (pow s 2) (PI))))) (* 2 (/ 1 (* s (PI)))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI))))
(+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI))))
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (PI))) s)
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (PI))) s)
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (PI))) s)
(/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (PI))) s)
(/ 2 (* s (PI)))
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/3 (/ (* r (log (E))) (* s (PI)))) (* 2 (/ 1 (PI))))) s)
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/3 (/ (* r (log (E))) (* s (PI)))) (+ (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (* (pow s 2) (PI)))) (+ (* 1/2 (/ (pow r 2) (* (pow s 2) (PI)))) (* 2 (/ 1 (PI))))))) s)
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/3 (/ (* r (log (E))) (* s (PI)))) (+ (* -1/6 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* -1/216 (/ (* (pow r 3) (pow (log (E)) 3)) (* (pow s 3) (PI)))) (+ (* -1/648 (/ (* (pow r 3) (pow (log (E)) 3)) (* (pow s 3) (PI)))) (+ (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (* (pow s 2) (PI)))) (+ (* 1/2 (/ (pow r 2) (* (pow s 2) (PI)))) (* 2 (/ 1 (PI)))))))))) s)
(/ 2 (* s (PI)))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ (* r (log (E))) (PI)))) s)) (* 2 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (+ (* -1 (/ (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (PI)))) s)) (* -1/3 (/ (* r (log (E))) (PI))))) s)) (* 2 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/648 (/ (* (pow r 3) (pow (log (E)) 3)) (PI))) (* 1/216 (/ (* (pow r 3) (pow (log (E)) 3)) (PI))))) (* -1/6 (/ (pow r 3) (PI)))) s)) (+ (* -1/2 (/ (pow r 2) (PI))) (* -1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (PI))))) s)) (* -1/3 (/ (* r (log (E))) (PI))))) s)) (* 2 (/ 1 (PI)))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* 1/8 (* r (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (+ (* 1/8 (* r (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI))))))) (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (+ (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))) (* r (+ (* 1/8 (* r (- (+ (* -1/216 (/ (pow (log (E)) 3) (* (pow s 4) (PI)))) (* -1/648 (/ (pow (log (E)) 3) (* (pow s 4) (PI))))) (* 1/6 (/ 1 (* (pow s 4) (PI))))))) (* 1/8 (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI)))))))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* s (PI))) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (* s (PI)))) r))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (PI))) (* r s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (pow (exp (* -1/6 (/ (* r (log (E))) s))) 2) (PI))) (* r s)))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))) s)
(/ (+ (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI)))))) s)
(/ (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* -1/216 (/ (* (pow r 2) (pow (log (E)) 3)) (PI))) (* -1/648 (/ (* (pow r 2) (pow (log (E)) 3)) (PI))))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* -1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/2 (/ r (PI))) (* -1/18 (/ (* r (pow (log (E)) 2)) (PI)))) s)) (* 1/8 (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (+ (* -1 (/ (+ (* 1/648 (/ (* (pow r 3) (pow (log (E)) 3)) (PI))) (* 1/216 (/ (* (pow r 3) (pow (log (E)) 3)) (PI)))) r)) (* -1/6 (/ (pow r 2) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ r (PI))) (* -1/18 (/ (* r (pow (log (E)) 2)) (PI)))))) s)) (* 1/8 (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
1
(+ 1 (* -1/6 (/ (* r (log (E))) s)))
(+ 1 (* r (+ (* -1/6 (/ (log (E)) s)) (* 1/72 (/ (* r (pow (log (E)) 2)) (pow s 2))))))
(+ 1 (* r (+ (* -1/6 (/ (log (E)) s)) (* r (+ (* -1/1296 (/ (* r (pow (log (E)) 3)) (pow s 3))) (* 1/72 (/ (pow (log (E)) 2) (pow s 2))))))))
(exp (* -1/6 (/ (* r (log (E))) s)))
(exp (* -1/6 (/ (* r (log (E))) s)))
(exp (* -1/6 (/ (* r (log (E))) s)))
(exp (* -1/6 (/ (* r (log (E))) s)))
(exp (* -1/6 (/ (* r (log (E))) s)))
(exp (* -1/6 (/ (* r (log (E))) s)))
(exp (* -1/6 (/ (* r (log (E))) s)))
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(* -1 (/ (- (* -1 (/ (+ (* -1/24 (/ r (PI))) (* 1/144 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s))
1
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1
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1
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1
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Outputs
(/ 2 (* s (PI)))
(/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))
(+ (* r (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))) (* 2 (/ 1 (* s (PI)))))
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(* -1 (/ (- (* -1 (/ (+ (* -1/24 (/ r (PI))) (* 1/144 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s))
(neg.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal 1/144 binary32) (*.f32 #s(literal -1/24 binary32) (/.f32 r (PI.f32))))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))
(* -1 (/ (- (* -1 (/ (+ (* -1/24 (/ r (PI))) (* 1/144 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s))
(neg.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal 1/144 binary32) (*.f32 #s(literal -1/24 binary32) (/.f32 r (PI.f32))))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/18 binary32) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/162 binary32) r) (/.f32 r (*.f32 (*.f32 s s) s)) (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/18 binary32) #s(literal -1/3 binary32)) s)) r #s(literal 1 binary32))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(fma.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/18 binary32) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/162 binary32) (*.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)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) r) (/.f32 (fma.f32 (*.f32 #s(literal 1/18 binary32) r) r (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) s)) s))
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))
(/.f32 (fma.f32 (/.f32 r s) #s(literal 1/18 binary32) #s(literal -1/3 binary32)) s)
(- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))
(fma.f32 (*.f32 #s(literal -1/162 binary32) r) (/.f32 r (*.f32 (*.f32 s s) s)) (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/18 binary32) #s(literal -1/3 binary32)) s))
(- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))
(fma.f32 (*.f32 #s(literal -1/162 binary32) r) (/.f32 r (*.f32 (*.f32 s s) s)) (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/18 binary32) #s(literal -1/3 binary32)) s))
(* -1/162 (/ (pow r 2) (pow s 3)))
(*.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/162 binary32))
(* (pow r 2) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s)) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 r r))
(* (pow r 2) (- (/ 1/18 (* r (pow s 2))) (+ (/ 1/3 (* (pow r 2) s)) (* 1/162 (/ 1 (pow s 3))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 r s) r))) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 r r))
(* (pow r 2) (- (/ 1/18 (* r (pow s 2))) (+ (/ 1/3 (* (pow r 2) s)) (* 1/162 (/ 1 (pow s 3))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 r s) r))) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 r r))
(* -1/162 (/ (pow r 2) (pow s 3)))
(*.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/162 binary32))
(* (pow r 2) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s)) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* 1/3 (/ 1 (* r s))) (* 1/18 (/ 1 (pow s 2)))) r)) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 r s) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s)))) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* 1/3 (/ 1 (* r s))) (* 1/18 (/ 1 (pow s 2)))) r)) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 r s) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s)))) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 r r))
(* -1/162 (/ (pow r 2) (pow s 3)))
(*.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/162 binary32))
(/ (+ (* -1/162 (pow r 2)) (* 1/18 (* r s))) (pow s 3))
(/.f32 (fma.f32 (*.f32 #s(literal 1/18 binary32) s) r (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))
(/ (+ (* -1/162 (pow r 2)) (* s (+ (* -1/3 s) (* 1/18 r)))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))
(/ (+ (* -1/162 (pow r 2)) (* s (+ (* -1/3 s) (* 1/18 r)))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ (- (* 1/18 (/ r s)) 1/3) s)
(/.f32 (fma.f32 (/.f32 r s) #s(literal 1/18 binary32) #s(literal -1/3 binary32)) s)
(/ (- (+ (* -1/162 (/ (pow r 2) (pow s 2))) (* 1/18 (/ r s))) 1/3) s)
(/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal -1/162 binary32) (fma.f32 (/.f32 r s) #s(literal 1/18 binary32) #s(literal -1/3 binary32))) s)
(/ (- (+ (* -1/162 (/ (pow r 2) (pow s 2))) (* 1/18 (/ r s))) 1/3) s)
(/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal -1/162 binary32) (fma.f32 (/.f32 r s) #s(literal 1/18 binary32) #s(literal -1/3 binary32))) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(* -1 (/ (+ 1/3 (* -1/18 (/ r s))) s))
(/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 r s) #s(literal 1/3 binary32)) (neg.f32 s))
(* -1 (/ (+ 1/3 (* -1 (/ (+ (* -1/162 (/ (pow r 2) s)) (* 1/18 r)) s))) s))
(/.f32 (neg.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/162 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) s)
(* -1 (/ (+ 1/3 (* -1 (/ (+ (* -1/162 (/ (pow r 2) s)) (* 1/18 r)) s))) s))
(/.f32 (neg.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/162 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) s)
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/18 binary32) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/162 binary32) r) (/.f32 r (*.f32 (*.f32 s s) s)) (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/18 binary32) #s(literal -1/3 binary32)) s)) r #s(literal 1 binary32))
(* -1/162 (/ (pow r 3) (pow s 3)))
(/.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/162 binary32) r) r) r) (*.f32 (*.f32 s s) s))
(* (pow r 3) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s)) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 (*.f32 r r) r))
(* (pow r 3) (- (/ 1/18 (* r (pow s 2))) (+ (* 1/162 (/ 1 (pow s 3))) (/ 1/3 (* (pow r 2) s)))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 r s) r))) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 (*.f32 r r) r))
(* (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))))))
(*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r r) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s))) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 r s) r))) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 (*.f32 r r) r))
(* -1/162 (/ (pow r 3) (pow s 3)))
(/.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/162 binary32) r) r) r) (*.f32 (*.f32 s s) s))
(* -1 (* (pow r 3) (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s)))) (*.f32 (*.f32 r r) r))
(* -1 (* (pow r 3) (+ (* -1 (/ (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))) r)) (* 1/162 (/ 1 (pow s 3))))))
(*.f32 (*.f32 (neg.f32 r) (*.f32 r r)) (-.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s)) (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 r s) s)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 r s) r)))))
(* -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))))))
(*.f32 (*.f32 (neg.f32 r) (*.f32 r r)) (-.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 r s)) (/.f32 #s(literal 1 binary32) (*.f32 r r)))) r)))
(* -1/162 (/ (pow r 3) (pow s 3)))
(/.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/162 binary32) r) r) r) (*.f32 (*.f32 s s) s))
(/ (+ (* -1/162 (pow r 3)) (* 1/18 (* (pow r 2) s))) (pow s 3))
(/.f32 (fma.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (*.f32 r r) #s(literal 1/18 binary32)) s)) (*.f32 (*.f32 s s) s))
(/ (+ (* -1/162 (pow r 3)) (* s (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) r) s (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) s (*.f32 (*.f32 (*.f32 #s(literal -1/162 binary32) r) r) r)) (*.f32 (*.f32 s s) s))
(/ (+ (* -1/162 (pow r 3)) (* s (+ (* 1/18 (pow r 2)) (* s (+ s (* -1/3 r)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) r s) s (*.f32 (*.f32 r r) #s(literal 1/18 binary32))) s (*.f32 (*.f32 (*.f32 #s(literal -1/162 binary32) r) r) r)) (*.f32 (*.f32 s s) s))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(fma.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/18 binary32) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/162 binary32) (*.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)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) r) (/.f32 (fma.f32 (*.f32 #s(literal 1/18 binary32) r) r (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) s)) 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)
(* -1/3 s)
(*.f32 #s(literal -1/3 binary32) s)

rewrite269.0ms (1.8%)

Memory
-4.7MiB live, 400.5MiB allocated
Rules
2 491×lower-*.f64
2 478×lower-*.f32
1 739×lower-/.f64
1 722×lower-/.f32
1 319×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097862
0150836
1596775
25676775
08111759
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 560
Calls
Call 1
Inputs
(fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (*.f32 (PI.f32) s) r)
(*.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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(/.f32 r (*.f32 (*.f32 (PI.f32) s) s))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s))
(*.f32 (/.f32 r s) #s(literal -1/6 binary32))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r))
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
#s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32)))
(/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))
(fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))
(*.f32 #s(literal -1/3 binary32) s)
Outputs
(*.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s))))
(*.f32 (fma.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (pow.f32 (*.f32 (PI.f32) s) #s(literal -3 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (*.f32 (PI.f32) s) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s))) (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32)) (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s))))
(/.f32 (neg.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32)))) (neg.f32 (/.f32 (-.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s))))
(/.f32 (neg.f32 (fma.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (pow.f32 (*.f32 (PI.f32) s) #s(literal -3 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (*.f32 (PI.f32) s) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s))) (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))))
(/.f32 (fma.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) s (*.f32 (*.f32 (PI.f32) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) (*.f32 (*.f32 s s) (PI.f32)))
(/.f32 (fma.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (neg.f32 s) (PI.f32)) (*.f32 (*.f32 (PI.f32) s) (neg.f32 (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 (PI.f32) s) (*.f32 (neg.f32 s) (PI.f32))))
(/.f32 (fma.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) s) (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s)))))
(/.f32 (fma.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) (*.f32 (PI.f32) s) (*.f32 s (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))) (*.f32 (*.f32 s s) (PI.f32)))
(/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (PI.f32) s (*.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))) (*.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))
(/.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32))) (/.f32 (-.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (pow.f32 (*.f32 (PI.f32) s) #s(literal -3 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (*.f32 (PI.f32) s) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32)) (-.f32 (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)))))
(/.f32 (fma.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (pow.f32 (*.f32 (PI.f32) s) #s(literal -3 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (*.f32 (PI.f32) s) #s(literal 3 binary32)))) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s))) (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s))) (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) (fma.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (pow.f32 (*.f32 (PI.f32) s) #s(literal -3 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (*.f32 (PI.f32) s) #s(literal 3 binary32))))))
(-.f32 (/.f32 (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (/.f32 (-.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s))) (/.f32 (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32)) (/.f32 (-.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s))))
(fma.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (*.f32 (PI.f32) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/12 binary32)))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/12 binary32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) s) (/.f32 (exp.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)))
(fma.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/12 binary32))) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/12 binary32))) (/.f32 (exp.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)))
(fma.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(fma.f32 (exp.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (/.f32 (exp.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(pow.f32 (/.f32 (/.f32 (-.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s)) (pow.f32 (/.f32 (*.f32 (PI.f32) s) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal -2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s))) (/.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s))) (fma.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (pow.f32 (*.f32 (PI.f32) s) #s(literal -3 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (*.f32 (PI.f32) s) #s(literal 3 binary32))))) #s(literal -1 binary32))
(+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)))
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(*.f32 #s(literal -1/3 binary32) s)
(*.f32 s #s(literal -1/3 binary32))

eval227.0ms (1.5%)

Memory
8.3MiB live, 359.9MiB allocated
Compiler

Compiled 54 179 to 3 175 computations (94.1% saved)

prune588.0ms (3.9%)

Memory
15.9MiB live, 1 052.6MiB allocated
Pruning

96 alts after pruning (88 fresh and 8 done)

PrunedKeptTotal
New1 462171 479
Fresh97180
Picked235
Done055
Total1 473961 569
Accuracy
100.0%
Counts
1 569 → 96
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.9%
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
10.3%
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) #s(approx (* (exp (/ r (* -3 s))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
62.7%
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r))
11.1%
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) r))))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 s r) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))))
11.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal -1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)))) s)))
11.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
10.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
6.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) #s(approx (/ (+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s))) r) (*.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r))))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/4 binary32) s)) r #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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
9.1%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/24 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/8 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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
9.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/48 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 #s(literal 1/16 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
9.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/48 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/16 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
6.4%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s))) (/.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (/.f32 r (PI.f32))) s (*.f32 #s(literal 1/144 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 (*.f32 s s) s))) r)))
9.2%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
9.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (*.f32 r (PI.f32)) s)) #s(literal 1/8 binary32))))
10.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r))))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
✓9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s))
✓10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) s))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s r)) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.f32)) r)) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) r) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s 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 (PI.f32) s))) s))
11.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) (*.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))))) s))
60.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) r)))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r #s(literal 8 binary32))))
11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 r r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r #s(literal 8 binary32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 s r))) (sqrt.f32 (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
10.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
3.6%
#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 r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s r) s) (PI.f32))) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) (*.f32 r r))) s))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r)) r))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r) (sqrt.f32 (PI.f32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
✓9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
11.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
10.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
99.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) r)))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))))) (/.f32 #s(literal 1 binary32) s)))
10.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))))) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
9.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32)))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))))
11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 r r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) #s(literal 2 binary32)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
98.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
✓99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 r r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (PI.f32)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
✓99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
11.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) r) (/.f32 (fma.f32 (*.f32 #s(literal 1/18 binary32) r) r (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) s)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) #s(literal 1 binary32)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 #s(approx (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) (/.f32 (fma.f32 #s(literal -1/162 binary32) r (*.f32 #s(literal 1/18 binary32) s)) (*.f32 (*.f32 s s) s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
✓11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 #s(literal -1/162 binary32) r) r)) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
11.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (+.f32 (*.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 r r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))) r) #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
6.1%
#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 (/.f32 #s(approx (exp (* -1/3 (/ r s))) #s(approx (+ (* (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) r) 1) (/.f32 (fma.f32 (*.f32 (*.f32 s r) r) #s(literal 1/18 binary32) (*.f32 (*.f32 (*.f32 r r) r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
4.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) #s(approx (+ (* (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) r) 1) (*.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 s r) s)) (/.f32 #s(literal 1/162 binary32) (*.f32 (*.f32 s s) s))) (*.f32 (*.f32 r r) r)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
9.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 5/9 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r (/.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (*.f32 s s) s)))))
5.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 binary32)))))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
99.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) (*.f32 s r)) #s(literal 1/8 binary32))))
Compiler

Compiled 6 347 to 2 235 computations (64.8% saved)

regimes119.0ms (0.8%)

Memory
-14.2MiB live, 189.3MiB allocated
Counts
138 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.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 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s 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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s 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) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 s 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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (*.f32 s s) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 r)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) r)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) #s(literal 3/4 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 s r) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))))
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) #s(literal 2 binary32)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) r))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Calls

3 calls:

44.0ms
s
37.0ms
r
28.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.8%1s
99.8%1r
99.8%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)

regimes138.0ms (0.9%)

Memory
12.5MiB live, 164.6MiB allocated
Counts
135 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.f32)) r)) (sqrt.f32 (PI.f32))))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.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 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/8 binary32) (*.f32 (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(approx (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 s s) (PI.f32)))) #s(literal 1/18 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r #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 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (*.f32 r #s(literal 8 binary32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) (*.f32 s r)) #s(literal 1/8 binary32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) r)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) #s(literal 3/4 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 s r) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))))
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) #s(literal 2 binary32)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Calls

3 calls:

59.0ms
s
43.0ms
r
28.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes114.0ms (0.8%)

Memory
2.8MiB live, 194.5MiB allocated
Counts
134 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (PI.f32)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/162 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/18 binary32))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))))) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal -1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.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 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.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 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/8 binary32) (*.f32 (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(approx (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 s s) (PI.f32)))) #s(literal 1/18 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r #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 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (*.f32 r #s(literal 8 binary32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) (*.f32 s r)) #s(literal 1/8 binary32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) (PI.f32)) s) r)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) #s(literal 3/4 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 s r) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))))
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r))) #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r) s) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) #s(literal 2 binary32)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Calls

3 calls:

38.0ms
r
37.0ms
s
31.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes135.0ms (0.9%)

Memory
-1.0MiB live, 154.1MiB allocated
Counts
123 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) #s(approx (+ (* (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) r) 1) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) r s) s (*.f32 (*.f32 #s(literal 1/18 binary32) r) r)) s (*.f32 (*.f32 (*.f32 r r) r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) r) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 r r) r) s) #s(literal -1/162 binary32) (*.f32 (*.f32 #s(literal 1/18 binary32) r) r)) s)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) r) (/.f32 (fma.f32 (*.f32 #s(literal 1/18 binary32) r) r (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) s)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (PI.f32)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/162 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/18 binary32))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))))) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal -1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.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 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.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 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/8 binary32) (*.f32 (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(approx (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 s s) (PI.f32)))) #s(literal 1/18 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r #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 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (*.f32 r #s(literal 8 binary32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) (*.f32 s r)) #s(literal 1/8 binary32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Calls

3 calls:

57.0ms
r
44.0ms
s
26.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes113.0ms (0.8%)

Memory
12.0MiB live, 173.2MiB allocated
Counts
122 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) r) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 r r) r) s) #s(literal -1/162 binary32) (*.f32 (*.f32 #s(literal 1/18 binary32) r) r)) s)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) r) (/.f32 (fma.f32 (*.f32 #s(literal 1/18 binary32) r) r (*.f32 (*.f32 r (*.f32 r (/.f32 r s))) #s(literal -1/162 binary32))) s)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (PI.f32)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/162 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/18 binary32))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))))) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal -1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.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 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.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 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/8 binary32) (*.f32 (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(approx (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 s s) (PI.f32)))) #s(literal 1/18 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r #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 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (*.f32 r #s(literal 8 binary32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (* (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ 1/8 r)) (*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))) (*.f32 s r)) #s(literal 1/8 binary32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))))
Calls

3 calls:

40.0ms
s
40.0ms
r
26.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes149.0ms (1%)

Memory
-13.4MiB live, 142.6MiB 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r) (sqrt.f32 (PI.f32)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (PI.f32)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/162 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/18 binary32))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32)))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) #s(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))))) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal -1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.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 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.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 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/8 binary32) (*.f32 (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(approx (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/162 binary32) (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 s s) (PI.f32)))) #s(literal 1/18 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 r r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r #s(literal 8 binary32))))
Calls

3 calls:

56.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
43.0ms
r
42.0ms
s
Results
AccuracySegmentsBranch
11.9%1s
11.9%1r
11.9%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes113.0ms (0.8%)

Memory
30.2MiB live, 109.4MiB allocated
Counts
91 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.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 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s 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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
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(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/24 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/8 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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/48 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 #s(literal 1/16 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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(approx (pow (E) (* (/ -1/3 s) r)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 r r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 r r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))))
Calls

3 calls:

55.0ms
s
34.0ms
r
18.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
11.9%1r
11.9%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.9%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes116.0ms (0.8%)

Memory
1.0MiB live, 113.5MiB allocated
Counts
90 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.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 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s 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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
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(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/24 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/8 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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/48 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 #s(literal 1/16 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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(approx (pow (E) (* (/ -1/3 s) r)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Calls

3 calls:

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)))
29.0ms
r
23.0ms
s
Results
AccuracySegmentsBranch
11.8%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)))
11.8%1r
11.8%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes144.0ms (1%)

Memory
-14.9MiB live, 134.0MiB allocated
Counts
88 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.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 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s 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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) 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 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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(approx (exp (* -1/3 (/ r s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Calls

3 calls:

69.0ms
s
37.0ms
r
17.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
11.8%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)))
11.8%1r
11.8%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes104.0ms (0.7%)

Memory
5.3MiB live, 101.5MiB allocated
Counts
85 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.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 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s 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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s 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) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 s 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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (*.f32 s s) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 r)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) r) (sqrt.f32 (PI.f32))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s 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 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) s))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s r) s) (PI.f32))) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) (*.f32 r 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 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 5/9 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r (/.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s))) (/.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (/.f32 r (PI.f32))) s (*.f32 #s(literal 1/144 binary32) (*.f32 r (/.f32 r (PI.f32))))) (*.f32 (*.f32 s s) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (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 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal -7/324 binary32) (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) s))
(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)))) (*.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) 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 r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))))) (/.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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) #s(literal 1 binary32)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) #s(literal 1 binary32)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (*.f32 r (PI.f32)) s)) #s(literal 1/8 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(literal 1/8 binary32) (*.f32 (*.f32 s 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 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) #s(approx (* (exp (/ r (* -3 s))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/4 binary32) s)) r #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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) #s(approx (/ (+ (* (/ (+ (* (/ r (* (PI) s)) 1/144) (/ -1/24 (PI))) (* s s)) r) (/ 1/8 (* (PI) s))) r) (*.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 s r) (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/48 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -1/16 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) (+.f32 (fma.f32 (*.f32 (*.f32 r r) (/.f32 r (*.f32 (*.f32 s s) s))) #s(literal -1/24 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s s))) #s(literal 1/8 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 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) #s(literal -1/48 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 #s(literal 1/16 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
Calls

3 calls:

51.0ms
s
26.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
22.0ms
r
Results
AccuracySegmentsBranch
11.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.2%1r
11.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes83.0ms (0.6%)

Memory
6.3MiB live, 83.9MiB allocated
Counts
58 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s 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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)) (sqrt.f32 (PI.f32))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.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 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s 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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) r)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s 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) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 s 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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (*.f32 s s) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 r)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) r) (sqrt.f32 (PI.f32))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s 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 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) s))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s r) s) (PI.f32))) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) (*.f32 r r))) s))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
Calls

3 calls:

34.0ms
r
34.0ms
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)))
Results
AccuracySegmentsBranch
11.2%1r
11.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes78.0ms (0.5%)

Memory
7.9MiB live, 89.9MiB 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.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 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s 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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s 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) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 s 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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (*.f32 s s) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 r)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) r) (sqrt.f32 (PI.f32))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
Calls

3 calls:

41.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
21.0ms
s
14.0ms
r
Results
AccuracySegmentsBranch
11.2%1r
11.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes79.0ms (0.5%)

Memory
-23.2MiB live, 97.1MiB allocated
Counts
51 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.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 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s 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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s 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) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 s 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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (*.f32 s s) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 r)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) r) (sqrt.f32 (PI.f32))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s 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(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
Calls

3 calls:

30.0ms
s
28.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
18.0ms
r
Results
AccuracySegmentsBranch
10.2%1r
10.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes37.0ms (0.2%)

Memory
7.2MiB live, 84.1MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 (fma.f32 (/.f32 r (*.f32 (*.f32 (PI.f32) s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 s r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (sqrt.f32 (PI.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 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s 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 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
Calls

3 calls:

14.0ms
r
13.0ms
s
8.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.2%1s
10.2%1r
10.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes30.0ms (0.2%)

Memory
-12.5MiB live, 68.9MiB allocated
Counts
29 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.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))) #s(approx (/ (+ (* (/ r (* (* (PI) s) s)) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 r (PI.f32))) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) 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) (*.f32 (*.f32 (neg.f32 s) r) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
Calls

3 calls:

11.0ms
s
11.0ms
r
7.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.2%1s
10.2%1r
10.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes24.0ms (0.2%)

Memory
21.7MiB live, 59.0MiB allocated
Counts
25 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.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 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r) (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 -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
Calls

3 calls:

10.0ms
r
7.0ms
s
6.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.1%1s
10.1%1r
10.1%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes20.0ms (0.1%)

Memory
-2.1MiB live, 36.3MiB allocated
Counts
19 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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 (PI.f32) r)) (/.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 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
Calls

3 calls:

9.0ms
r
6.0ms
s
5.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.8%1s
9.8%1r
9.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes16.0ms (0.1%)

Memory
-2.3MiB live, 36.4MiB allocated
Counts
13 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) 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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) (*.f32 (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))) #s(approx (/ (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (* r (/ r (PI))) -7/324)) (pow s 4)) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) #s(literal 5/72 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 (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (pow (E) (* (/ -1/3 s) r)) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
Calls

3 calls:

7.0ms
s
4.0ms
r
3.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.8%1s
9.8%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes8.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (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 1/4 binary32) r) (*.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) s) (*.f32 (PI.f32) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
Calls

3 calls:

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

Compiled 41 to 29 computations (29.3% saved)

regimes13.0ms (0.1%)

Memory
-41.6MiB live, 12.9MiB 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
Calls

3 calls:

8.0ms
r
2.0ms
s
2.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.8%1s
9.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.8%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes6.0ms (0%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
3 → 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 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
Calls

3 calls:

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

Compiled 41 to 29 computations (29.3% saved)

regimes4.0ms (0%)

Memory
9.5MiB live, 9.5MiB 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 (*.f32 s r) (PI.f32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
Calls

3 calls:

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

Compiled 41 to 29 computations (29.3% saved)

simplify42.0ms (0.3%)

Memory
-7.6MiB live, 31.3MiB allocated
Algorithm
1×egg-herbie
Rules
44×*-commutative_binary32
27×+-commutative_binary32
21×sub-neg_binary32
16×neg-sub0_binary32
16×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051359
12561359
22901359
33291359
43581359
53701359
63721359
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 r r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r #s(literal 8 binary32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 r r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))) r #s(literal 1 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 (+.f32 (/.f32 #s(approx (exp (* -1/3 (/ r s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32) (*.f32 #s(literal 1/3 binary32) r)) s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 #s(approx (pow (E) (* (/ -1/3 s) r)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) r #s(literal 1 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(approx (+ (/ (exp (* -1/3 (/ r s))) (* (PI) s)) (/ (exp (/ (neg r) s)) (* (PI) s))) (fma.f32 #s(literal -4/3 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (* r r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.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) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.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 r) (* (* (* s s) s) (PI))) -7/324) (- (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ -1/6 (* (PI) s))) (/ -1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (fma.f32 (pow.f32 (E.f32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (fma.f32 (pow.f32 (E.f32) (/.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.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 (fma.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 (*.f32 (+.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (+.f32 #s(approx (exp (* -1/3 (/ r s))) (fma.f32 #s(approx (+ (* (+ (* (/ r (* (* s s) s)) -1/162) (/ 1/18 (* s s))) r) (/ -1/3 s)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/18 binary32) r (*.f32 #s(literal -1/3 binary32) s)) s (*.f32 (*.f32 r r) #s(literal -1/162 binary32))) (*.f32 (*.f32 s s) s))) r #s(literal 1 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r #s(literal 8 binary32))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))

soundness2.0s (13%)

Memory
-102.9MiB live, 1 334.5MiB allocated
Rules
7 312×lower-fma.f64
7 312×lower-fma.f32
3 676×lower-fma.f64
3 676×lower-fma.f32
3 291×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359561788
082271755
082510281
125209263
274619179
080948917
0101733
0148705
1595663
26019663
08145654
092598
0151592
1553558
25501558
08958553
081810270
124609809
271059727
081579458
097862
0150836
1596775
25676775
08111759
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 941 to 429 computations (54.4% saved)

preprocess107.0ms (0.7%)

Memory
-24.0MiB live, 254.5MiB allocated
Compiler

Compiled 1 026 to 290 computations (71.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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