Disney BSSRDF, PDF of scattering profile

Time bar (total: 14.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze81.0ms (0.6%)

Memory
20.4MiB live, 98.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%2.1%97.9%0%0%0%0
0%0%2.1%97.9%0%0%0%1
0%0%2.1%97.9%0%0%0%2
25%0.5%1.5%97.9%0%0%0%3
37.5%0.8%1.3%97.9%0%0%0%4
56.2%1.2%0.9%97.9%0%0%0%5
65.6%1.3%0.7%97.9%0%0%0%6
76.6%1.6%0.5%97.9%0%0%0%7
82%1.7%0.4%97.9%0%0%0%8
87.9%1.8%0.2%97.9%0%0%0%9
90.8%1.9%0.2%97.9%0%0%0%10
93.8%1.9%0.1%97.9%0%0%0%11
95.4%2%0.1%97.9%0%0%0%12
Compiler

Compiled 49 to 37 computations (24.5% saved)

sample2.8s (20.1%)

Memory
-99.5MiB live, 2 838.4MiB allocated
Samples
2.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 927.0ms (48% of total)
ival-div: 301.0ms (15.6% of total)
ival-exp: 226.0ms (11.7% of total)
const: 203.0ms (10.5% of total)
ival-<=: 63.0ms (3.3% of total)
ival-pi: 47.0ms (2.4% of total)
ival-neg: 37.0ms (1.9% of total)
ival-<: 35.0ms (1.8% of total)
ival-add: 34.0ms (1.8% of total)
exact: 30.0ms (1.6% of total)
ival-and: 24.0ms (1.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain266.0ms (1.9%)

Memory
-23.9MiB live, 676.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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))
04(0.002560113091021776 0.9668758511543274)0-(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
00-0-(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
00-0-#s(literal 3/4 binary32)
00-0-(/.f32 (neg.f32 r) s)
00-0-#s(literal 1/4 binary32)
05(0.049870289862155914 14.050189971923828)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)))sensitivity43
Confusion
Predicted +Predicted -
+10
-6249
Precision
0.14285714285714285
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-61248
Precision?
0.125
Recall?
1.0
Freqs
test
numberfreq
0249
15
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
80.0ms512×0valid
Compiler

Compiled 331 to 79 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 26.0ms (44.7% of total)
ival-div: 16.0ms (27.5% of total)
ival-exp: 7.0ms (12% of total)
ival-pi: 2.0ms (3.4% of total)
ival-add: 2.0ms (3.4% of total)
ival-neg: 2.0ms (3.4% of total)
ival-true: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess254.0ms (1.8%)

Memory
16.0MiB live, 328.2MiB allocated
Algorithm
1×egg-herbie
Rules
5 478×lower-/.f64
5 470×lower-/.f32
5 136×lower-*.f64
5 118×lower-*.f32
2 504×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

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

Compiled 35 to 25 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.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)) (/.f32 (*.f32 #s(literal 3/4 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)

simplify207.0ms (1.5%)

Memory
14.4MiB live, 257.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 3 (0.0ms)

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

localize67.0ms (0.5%)

Memory
-22.1MiB live, 176.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy0.25390625
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.3125
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy0.3359375
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
Samples
39.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 13.0ms (47.1% of total)
ival-div: 6.0ms (21.7% of total)
ival-exp: 4.0ms (14.5% of total)
ival-pi: 1.0ms (3.6% of total)
ival-add: 1.0ms (3.6% of total)
exact: 1.0ms (3.6% of total)
ival-neg: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.2%)

Memory
-6.0MiB live, 70.1MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.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 #s(literal 2 binary32) (PI.f32)) s) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
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 (* s (PI))) (taylor inf s) (#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 (* 2 (* s (PI))) (taylor inf s) (#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 (* 2 (* s (PI))) (taylor inf s) (#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 (* 2 (* s (PI))) (taylor -inf s) (#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 (* 2 (* s (PI))) (taylor -inf s) (#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 (* 2 (* s (PI))) (taylor -inf s) (#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 (* 2 (* s (PI))) (taylor -inf s) (#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 (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
4.0ms
s
@inf
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms
s
@0
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms
r
@inf
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms
s
@-inf
(* (* (* 2 (PI)) s) r)
2.0ms
r
@-inf
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))

simplify339.0ms (2.4%)

Memory
6.8MiB live, 443.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
5 362×lower-*.f64
5 362×lower-*.f32
2 476×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359551788
082261755
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 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
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(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))

rewrite302.0ms (2.2%)

Memory
40.3MiB live, 546.1MiB allocated
Rules
6 444×lower-fma.f64
6 444×lower-fma.f32
6 424×lower-/.f64
6 416×lower-/.f32
4 548×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

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

eval70.0ms (0.5%)

Memory
-26.8MiB live, 209.2MiB allocated
Compiler

Compiled 26 889 to 1 721 computations (93.6% saved)

prune141.0ms (1%)

Memory
6.5MiB live, 303.8MiB allocated
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New67923702
Fresh000
Picked101
Done000
Total68023703
Accuracy
99.9%
Counts
703 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 r s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
97.4%
(fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
97.4%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
97.3%
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
99.6%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)))))
▶99.8%
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
10.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
9.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
10.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
10.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
9.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
9.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
▶99.7%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
▶7.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
9.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
8.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
8.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
▶9.7%
#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 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
99.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
▶8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
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 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
Compiler

Compiled 1 458 to 916 computations (37.2% saved)

simplify256.0ms (1.8%)

Memory
-8.2MiB live, 182.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f32)
cost-diff0
(*.f32 s (PI.f32))
cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
cost-diff544
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
cost-diff0
(fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
cost-diff0
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
cost-diff160
(fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
cost-diff0
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
cost-diff192
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s))
cost-diff320
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)))
cost-diff0
(*.f32 s (PI.f32))
cost-diff0
(*.f32 r (*.f32 s (PI.f32)))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
cost-diff64
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 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-diff192
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r)
cost-diff768
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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
4 890×lower-fma.f64
4 882×lower-fma.f32
4 548×lower-/.f64
4 508×lower-/.f32
4 238×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086763
0143774
1270745
2651680
31770669
43824669
54531666
65114666
75602666
85770666
95808666
107214666
117286666
127673666
137717666
147717666
157729666
09067645
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
r
(PI.f32)
(+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s))
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)))
#s(literal -7/324 binary32)
(/.f32 (*.f32 r r) (*.f32 s (PI.f32)))
(*.f32 r r)
(*.f32 s (PI.f32))
s
(/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))
(*.f32 r #s(literal 5/72 binary32))
#s(literal 5/72 binary32)
(*.f32 s s)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#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 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
r
(fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
#s(literal -7/324 binary32)
(*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))
(PI.f32)
(pow.f32 s #s(literal 4 binary32))
s
#s(literal 4 binary32)
(/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
#s(literal 5/72 binary32)
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
r
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
Outputs
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 s (PI.f32)) r)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r)
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 s (PI.f32)) r) (exp.f32 (/.f32 r s))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
r
(neg.f32 s)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r)))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
(*.f32 s #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 #s(literal 6 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (PI.f32)) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (PI.f32)) r))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 (*.f32 s (PI.f32)) r)
r
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32))) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32))) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32))) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(*.f32 (PI.f32) r)
r
(PI.f32)
(+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32))) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s))
(/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32))) (*.f32 s (*.f32 s (PI.f32))))
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)))
(*.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32)))
#s(literal -7/324 binary32)
(/.f32 (*.f32 r r) (*.f32 s (PI.f32)))
(*.f32 r r)
(*.f32 s (PI.f32))
s
(/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))
(*.f32 r #s(literal 5/72 binary32))
#s(literal 5/72 binary32)
(*.f32 s s)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#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 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (*.f32 r (*.f32 r #s(literal -7/324 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 r (/.f32 (*.f32 r (*.f32 r #s(literal -7/324 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r)
(fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(fma.f32 r (/.f32 (*.f32 r (*.f32 r #s(literal -7/324 binary32))) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) s) #s(literal -1/6 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))
r
(fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
#s(literal -7/324 binary32)
(*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))
(PI.f32)
(pow.f32 s #s(literal 4 binary32))
s
#s(literal 4 binary32)
(/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
#s(literal 5/72 binary32)
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) r)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) r))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)
(/.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) r)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
r
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)

localize256.0ms (1.8%)

Memory
0.9MiB live, 354.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.06737008046286383
(exp.f32 (/.f32 r (neg.f32 s)))
accuracy0.22265625
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy0.23046875
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy0.3125
(*.f32 s (PI.f32))
accuracy0.3125
(*.f32 s (PI.f32))
accuracy0.7056778326222248
(fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
accuracy20.281084412165875
(fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
accuracy28.874790595193407
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
accuracy0.3991012695368841
(/.f32 (*.f32 r r) (*.f32 s (PI.f32)))
accuracy0.56640625
(*.f32 r #s(literal 5/72 binary32))
accuracy0.698917316411229
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)))
accuracy28.874790595193407
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
accuracy0.3125
(*.f32 s (PI.f32))
accuracy0.31869125976844204
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
accuracy0.33203125
(*.f32 r (*.f32 s (PI.f32)))
accuracy29.203005544506638
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
accuracy0.22265625
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy0.23046875
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy0.25390625
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.3125
(*.f32 s (PI.f32))
Samples
159.0ms256×0valid
Compiler

Compiled 701 to 79 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-div: 43.0ms (34% of total)
ival-mult: 38.0ms (30% of total)
const: 18.0ms (14.2% of total)
ival-add: 13.0ms (10.3% of total)
ival-exp: 8.0ms (6.3% of total)
ival-pow: 2.0ms (1.6% of total)
ival-neg: 2.0ms (1.6% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series73.0ms (0.5%)

Memory
36.4MiB live, 157.4MiB allocated
Counts
26 → 564
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 s (PI.f32))) (patch (*.f32 r (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (patch (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (patch (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s) (patch (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s) #<representation binary32>) () ())
#s(alt (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (patch (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r) (patch (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r) #<representation binary32>) () ())
#s(alt (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (patch (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (/.f32 (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 r #s(literal 5/72 binary32)) (patch (*.f32 r #s(literal 5/72 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (patch (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (patch (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())
Outputs
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ 1/4 (* r (* s (PI)))) (taylor inf s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s) (taylor inf s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s) (taylor inf s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ (- (+ (* -1/48 (/ (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) (taylor inf s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ 1/4 (* r (* s (PI)))) (taylor -inf s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s)) (taylor -inf s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s)) (taylor -inf s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/ (- (* -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)) (taylor -inf s) (#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ r s))) (taylor 0 r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s)))) (taylor 0 r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor -inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor -inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor -inf r) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
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#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* -1 (/ r s))) (taylor inf s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2)))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ r s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())) ())
Calls

141 calls:

TimeVariablePointExpression
6.0ms
s
@inf
(+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI))))
4.0ms
s
@inf
(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))
3.0ms
r
@-inf
(/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s)
1.0ms
r
@-inf
(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))
1.0ms
s
@0
(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))

simplify253.0ms (1.8%)

Memory
16.7MiB live, 359.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 390×lower-fma.f64
9 390×lower-fma.f32
5 894×lower-*.f64
5 894×lower-*.f32
3 082×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05948437
118278114
254668043
082547834
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 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 (* 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))
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1
(+ 1 (* -1 (/ r s)))
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(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
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1
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1
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Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(*.f32 (+.f32 (/.f32 #s(literal 7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal -5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s))))) (neg.f32 r))
(* -1 (* r (- (* 7/324 (/ 1 (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))))))
(*.f32 (+.f32 (/.f32 #s(literal 7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal -5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s))))) (neg.f32 r))
(* -1 (* r (- (* 7/324 (/ 1 (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))))))
(*.f32 (+.f32 (/.f32 #s(literal 7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal -5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s))))) (neg.f32 r))
(* -7/324 (/ r (* (pow s 4) (PI))))
(/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
(/ (+ (* -7/324 (/ r (PI))) (* 5/72 (/ s (PI)))) (pow s 4))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal -7/324 binary32)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
(/ (+ (* -7/324 (/ r (PI))) (* 5/72 (/ s (PI)))) (pow s 4))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal -7/324 binary32)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
(/ (+ (* -7/324 (/ r (PI))) (* 5/72 (/ s (PI)))) (pow s 4))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 s (PI.f32)) (/.f32 (*.f32 r #s(literal -7/324 binary32)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
(/ 5/72 (* (pow s 3) (PI)))
(/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(/ (+ (* -7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))) (pow s 3))
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))) (pow s 3))
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))) (pow s 3))
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32))) (*.f32 s (*.f32 s s)))
(/ 5/72 (* (pow s 3) (PI)))
(/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(* -1 (/ (- (* 7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))) (pow s 3)))
(/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 7/324 binary32) (/.f32 #s(literal -5/72 binary32) (PI.f32))) (neg.f32 (*.f32 s (*.f32 s s))))
(* -1 (/ (- (* 7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))) (pow s 3)))
(/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 7/324 binary32) (/.f32 #s(literal -5/72 binary32) (PI.f32))) (neg.f32 (*.f32 s (*.f32 s s))))
(* -1 (/ (- (* 7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))) (pow s 3)))
(/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 7/324 binary32) (/.f32 #s(literal -5/72 binary32) (PI.f32))) (neg.f32 (*.f32 s (*.f32 s s))))
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 r r) s) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) s)) s))

rewrite368.0ms (2.6%)

Memory
-12.1MiB live, 336.4MiB allocated
Rules
4 830×lower-*.f64
4 796×lower-*.f32
3 612×lower-/.f64
3 572×lower-/.f32
2 338×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086504
0143514
1554458
26044448
08060446
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 924
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r)
(/.f32 (*.f32 #s(literal 3/4 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 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32)))
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(PI.f32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 r #s(literal 5/72 binary32))
(/.f32 (*.f32 r r) (*.f32 s (PI.f32)))
(fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(exp.f32 (/.f32 r (neg.f32 s)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(pow.f32 (/.f32 (*.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 r #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))) (-.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) (pow.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) #s(literal 2 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 r r) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 s r) (*.f32 (*.f32 r #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r)))) (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
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(fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (PI.f32)) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))) (-.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))) (/.f32 (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (-.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))))) (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (*.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))))
(/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (*.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))))) (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))))))
(/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (*.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))))) (+.f32 (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) #s(literal 5/72 binary32)) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))) (-.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 r #s(literal -7/324 binary32)))) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 (PI.f32) (*.f32 s (*.f32 s (*.f32 s s))) (*.f32 (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) #s(literal 72/5 binary32)) (*.f32 r #s(literal -7/324 binary32)))) (*.f32 (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) #s(literal 72/5 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 #s(literal -5/72 binary32) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (neg.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (*.f32 r #s(literal -7/324 binary32)))) (*.f32 (neg.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 r #s(literal -7/324 binary32)))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) #s(literal 72/5 binary32)) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) #s(literal 72/5 binary32))))
(/.f32 (fma.f32 (*.f32 r #s(literal -7/324 binary32)) (neg.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) #s(literal -5/72 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (neg.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (fma.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 s (*.f32 s (PI.f32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 5/72 binary32) s))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (*.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))))))) (neg.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) (neg.f32 (-.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(/.f32 (-.f32 (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))))) (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))))
(*.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (*.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))))))
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 r #s(literal -7/324 binary32))) (*.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal 25/5184 binary32) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(neg.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -3 binary32) (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (*.f32 (neg.f32 r) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s #s(literal 3 binary32))) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3 binary32)) r))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) (/.f32 r s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (neg.f32 r) #s(literal 1/3 binary32))))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r)))
(/.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) s)
(/.f32 (*.f32 r #s(literal 1 binary32)) (*.f32 s #s(literal -3 binary32)))
(/.f32 (*.f32 (neg.f32 r) #s(literal 1 binary32)) (*.f32 s #s(literal 3 binary32)))
(/.f32 (neg.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32))) (neg.f32 s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (neg.f32 r) (/.f32 #s(literal 1/3 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 r #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 r))
(*.f32 #s(literal -1 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(*.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 r))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1 binary32) s)))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 r)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 r) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r s)))

eval394.0ms (2.8%)

Memory
37.9MiB live, 296.5MiB allocated
Compiler

Compiled 69 927 to 4 788 computations (93.2% saved)

prune639.0ms (4.6%)

Memory
-23.3MiB live, 570.8MiB allocated
Pruning

54 alts after pruning (51 fresh and 3 done)

PrunedKeptTotal
New1 930441 974
Fresh11718
Picked235
Done000
Total1 943541 997
Accuracy
99.9%
Counts
1 997 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
98.1%
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
99.7%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
10.7%
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
10.7%
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
▶8.7%
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.1%
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (+.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s)))))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
10.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
10.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
10.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
9.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
9.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
8.9%
(+.f32 (/.f32 #s(approx (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (exp.f32 (log.f32 (PI.f32))))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓99.7%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
8.9%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) r)))
▶99.7%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
99.7%
(*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
▶8.5%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
8.3%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
9.9%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
9.9%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
9.7%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
8.5%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r #s(approx (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI)))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
✓9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
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 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32))))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
7.8%
#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) (*.f32 s (PI.f32))) (*.f32 (*.f32 r r) (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal -6 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 (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (fma.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) s)) r))
8.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) 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 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r))
2.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (*.f32 (*.f32 r (*.f32 r r)) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))) r))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 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 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))))
7.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
▶8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
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 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
4.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32) (/.f32 (*.f32 s (*.f32 r #s(literal 5/72 binary32))) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))))
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))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
2.7%
#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 (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
99.6%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
Compiler

Compiled 2 909 to 1 821 computations (37.4% saved)

simplify252.0ms (1.8%)

Memory
25.0MiB live, 217.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 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-diff192
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r)
cost-diff832
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
cost-diff0
(/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))))
cost-diff320
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32))))
cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))))
cost-diff0
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
cost-diff0
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
cost-diff0
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
cost-diff0
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (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 s (PI.f32))
cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))
cost-diff192
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
Rules
5 830×lower-fma.f64
5 826×lower-fma.f32
4 480×lower-*.f64
4 446×lower-*.f32
3 886×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092676
0147674
1269650
2665614
32055594
44272594
54700594
65533594
75727594
85773594
95796594
107527594
117714594
08234588
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) r)
#s(literal 1 binary32)
r
(+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
r
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
#s(literal 1/4 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))))
(/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))))
#s(literal 1 binary32)
(/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
s
(+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))
(/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32))))
r
(/.f32 #s(literal 5/72 binary32) (PI.f32))
#s(literal 5/72 binary32)
(PI.f32)
(/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))
(*.f32 #s(literal -7/324 binary32) (*.f32 r r))
#s(literal -7/324 binary32)
(*.f32 r r)
(*.f32 s (PI.f32))
(*.f32 s s)
(+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
#s(literal 1 binary32)
(/.f32 r s)
r
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
Outputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 s (*.f32 (PI.f32) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) r)
(/.f32 #s(literal 1 binary32) r)
#s(literal 1 binary32)
r
(+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
#s(literal 1/4 binary32)
(*.f32 (*.f32 s r) (PI.f32))
(*.f32 s (*.f32 (PI.f32) r))
(*.f32 s r)
s
r
(PI.f32)
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
r
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
#s(literal 1/4 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s))
(/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))))
(/.f32 (+.f32 (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s)
#s(literal 1 binary32)
(/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
(/.f32 s (+.f32 (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
s
(+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))
(+.f32 (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))
(/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s))
(/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32))) (*.f32 s s))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32))))
(*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)))
r
(/.f32 #s(literal 5/72 binary32) (PI.f32))
#s(literal 5/72 binary32)
(PI.f32)
(/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))
(/.f32 (*.f32 r (*.f32 r #s(literal -7/324 binary32))) (*.f32 s (PI.f32)))
(*.f32 #s(literal -7/324 binary32) (*.f32 r r))
(*.f32 r (*.f32 r #s(literal -7/324 binary32)))
#s(literal -7/324 binary32)
(*.f32 r r)
(*.f32 s (PI.f32))
(*.f32 s s)
(+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 s (*.f32 (PI.f32) r))) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r)
(*.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
#s(literal 1 binary32)
(/.f32 r s)
r
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
(*.f32 s #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 s (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 (PI.f32) (*.f32 s #s(literal 6 binary32)))
(*.f32 #s(literal 6 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)

localize262.0ms (1.9%)

Memory
12.6MiB live, 445.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy0.25390625
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.3125
(*.f32 s (PI.f32))
accuracy29.126307962464836
#s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
accuracy0.3515625
(*.f32 (PI.f32) r)
accuracy0.3717575195368841
(/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))
accuracy0.375
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
accuracy28.874790595193407
#s(approx (+ (/ (* 1/4 (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 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))))
accuracy0.3125
(*.f32 s (PI.f32))
accuracy0.4391307834218263
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
accuracy0.8500351048515412
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
accuracy29.260889303119228
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
accuracy0
(PI.f32)
accuracy0.31869125976844204
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
accuracy0.38576127930532605
(*.f32 (*.f32 s r) (PI.f32))
accuracy29.203005544506638
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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))))
accuracy0.06737008046286384
(exp.f32 (/.f32 r (neg.f32 s)))
accuracy0.22265625
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy0.23046875
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy0.3125
(*.f32 s (PI.f32))
Samples
148.0ms256×0valid
Compiler

Compiled 601 to 74 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-div: 51.0ms (41.3% of total)
ival-mult: 40.0ms (32.4% of total)
ival-add: 10.0ms (8.1% of total)
const: 9.0ms (7.3% of total)
ival-exp: 7.0ms (5.7% of total)
ival-neg: 2.0ms (1.6% of total)
ival-pi: 1.0ms (0.8% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series91.0ms (0.6%)

Memory
-15.5MiB live, 113.6MiB allocated
Counts
28 → 600
Calls
Call 1
Inputs
#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) (patch (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 #s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)) (patch #s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r) (patch (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) (patch (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (patch (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))) #<representation binary32>) () ())
#s(alt (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (patch (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))))) #<representation binary32>) () ())
#s(alt (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) (patch (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r 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 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32))) (patch (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) r) (patch (*.f32 (PI.f32) r) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (patch #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
Outputs
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* -1 (/ r s))) (taylor inf s) (#s(alt #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (patch #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #<representation binary32>) () ())) ())
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#s(alt 1 (taylor -inf s) (#s(alt #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (patch #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))) #<representation binary32>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
Calls

150 calls:

TimeVariablePointExpression
2.0ms
s
@inf
(/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r)))))
1.0ms
r
@-inf
(* (/ 1/8 (* s (PI))) (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))))
1.0ms
s
@0
(* (/ 1/8 (* s (PI))) (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))))
1.0ms
r
@inf
(/ (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) r)
1.0ms
r
@0
(/ (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) r)

simplify295.0ms (2.1%)

Memory
24.7MiB live, 577.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 240×lower-fma.f64
10 240×lower-fma.f32
6 432×lower-*.f64
6 432×lower-*.f32
2 936×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07297835
122567611
269987581
081497389
Stop Event
1×iter limit
1×node limit
Counts
600 → 600
Calls
Call 1
Inputs
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/ 2 r)
(/ (+ 2 (* -4/3 (/ r s))) r)
(/ (+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s))))) r)
(/ (+ 2 (* r (- (* r (+ (* -14/81 (/ r (pow s 3))) (* 5/9 (/ 1 (pow s 2))))) (* 4/3 (/ 1 s))))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ 2 r)
(- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))
(- (+ (* 1/18 (/ r (pow s 2))) (+ (* 1/2 (/ r (pow s 2))) (* 2 (/ 1 r)))) (* 4/3 (/ 1 s)))
(- (+ (* -1/6 (/ (pow r 2) (pow s 3))) (+ (* -1/162 (/ (pow r 2) (pow s 3))) (+ (* 1/18 (/ r (pow s 2))) (+ (* 1/2 (/ r (pow s 2))) (* 2 (/ 1 r)))))) (* 4/3 (/ 1 s)))
(/ 2 r)
(- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))
(+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* 1/18 r) (* 1/2 r)) s))) s)) (* 2 (/ 1 r)))
(+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow r 2)) (* 1/6 (pow r 2))) s)) (+ (* 1/18 r) (* 1/2 r))) s))) s)) (* 2 (/ 1 r)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
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(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* 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))))
(/ (+ (* -1/8 (/ 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 (* 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))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(* 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
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -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 (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal -14/81 binary32)) (PI.f32)) (*.f32 s (*.f32 s s))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (/.f32 (+.f32 (neg.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32)))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32)) s) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) (neg.f32 s)) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(/ 2 r)
(/.f32 #s(literal 2 binary32) r)
(/ (+ 2 (* -4/3 (/ r s))) r)
(/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)
(/ (+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s))))) r)
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(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 r r)) r) (*.f32 s (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 r r) s) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 r r))) s)) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 s (PI.f32)))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 r r)) r) (*.f32 s (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 r r) s) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 r r))) s)) s))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))

rewrite544.0ms (3.9%)

Memory
5.2MiB live, 485.1MiB allocated
Rules
4 802×lower-*.f64
4 768×lower-*.f32
3 392×lower-/.f64
3 354×lower-/.f32
2 672×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092460
0147461
1539408
25723408
08079404
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 797
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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)
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (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 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))))
(/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r)
(/.f32 (*.f32 #s(literal 3/4 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 r (*.f32 s #s(literal -3 binary32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))
(*.f32 (PI.f32) r)
#s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
Outputs
(+.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))))
(+.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
(+.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
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(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))
(*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 (*.f32 s r) (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 s r))
(*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)) r)
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) s)
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r) s)

eval326.0ms (2.3%)

Memory
1.6MiB live, 497.7MiB allocated
Compiler

Compiled 54 887 to 4 498 computations (91.8% saved)

prune366.0ms (2.6%)

Memory
-52.3MiB live, 637.9MiB allocated
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New1 744271 771
Fresh37946
Picked325
Done213
Total1 786391 825
Accuracy
99.9%
Counts
1 825 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
99.6%
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)) (PI.f32)) s)
99.7%
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) r))
98.1%
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
▶99.7%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
99.6%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 (PI.f32) r))
99.7%
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) r)))
10.7%
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
8.1%
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (+.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s)))))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
99.7%
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
99.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (exp.f32 (log.f32 (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
✓99.7%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
8.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)))
▶8.3%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
9.7%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (-.f32 #s(literal 4/3 binary32) (/.f32 (fma.f32 r #s(literal 5/9 binary32) (*.f32 #s(literal -14/81 binary32) (/.f32 (*.f32 r r) s))) s)) s))))
99.7%
(*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
8.7%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
▶8.7%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
▶8.5%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
9.6%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (neg.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (neg.f32 s)) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
9.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32))) (/.f32 r (*.f32 (PI.f32) #s(literal 72/5 binary32)))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
9.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))))
18.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 r r) #s(literal -8/3 binary32))) s)) (neg.f32 s)))))
58.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 (-.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)))) s)) (neg.f32 s)))))
60.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)) (-.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (PI.f32) #s(literal -2/3 binary32))) (*.f32 s s))))))))
19.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
19.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
26.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
12.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
62.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) #s(literal 32/81 binary32)) s))) (neg.f32 s))) (neg.f32 s))))))))
✓8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
✓8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
▶99.6%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
Compiler

Compiled 1 972 to 1 284 computations (34.9% saved)

simplify275.0ms (2%)

Memory
-4.2MiB live, 232.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))
cost-diff0
(*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
cost-diff0
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
cost-diff0
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
cost-diff0
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
cost-diff160
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))
cost-diff320
(fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s))
cost-diff0
(*.f32 r (*.f32 s (PI.f32)))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
cost-diff0
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
cost-diff0
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
cost-diff0
(*.f32 (PI.f32) r)
cost-diff0
(*.f32 s (*.f32 (PI.f32) r))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
cost-diff0
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
cost-diff0
(*.f32 s (PI.f32))
cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
cost-diff0
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))
cost-diff192
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
Rules
4 386×lower-/.f64
4 362×lower-/.f32
3 622×lower-*.f64
3 598×lower-*.f32
3 198×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083573
0126557
1265547
2659529
31532529
43500529
53788525
64313525
74641525
84932525
94950525
106134525
116205525
126694525
136798525
146798525
156798525
08440511
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(/.f32 r s)
#s(literal -1/3 binary32)
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
#s(literal 1/4 binary32)
(*.f32 s (*.f32 (PI.f32) r))
s
(*.f32 (PI.f32) r)
(PI.f32)
r
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))
#s(literal -1/6 binary32)
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))
r
(fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s))
(fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))
#s(literal -14/81 binary32)
(/.f32 r (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 5/9 binary32) (*.f32 s s))
#s(literal 5/9 binary32)
(/.f32 #s(literal -4/3 binary32) s)
#s(literal -4/3 binary32)
#s(literal 2 binary32)
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
#s(literal 1/8 binary32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
s
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(*.f32 r #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
Outputs
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 s (*.f32 (PI.f32) r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))
(+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
r
(neg.f32 s)
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(/.f32 r s)
#s(literal -1/3 binary32)
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
#s(literal 1/4 binary32)
(*.f32 s (*.f32 (PI.f32) r))
s
(*.f32 (PI.f32) r)
(PI.f32)
r
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 (PI.f32) r))
r
(*.f32 s (PI.f32))
s
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))
#s(literal -1/6 binary32)
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal -14/81 binary32) s) #s(literal 5/9 binary32)) #s(literal -4/3 binary32)) #s(literal 2 binary32)) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r))
#s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal -14/81 binary32) s) #s(literal 5/9 binary32)) #s(literal -4/3 binary32)) #s(literal 2 binary32)) r))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)
(/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal -14/81 binary32) s) #s(literal 5/9 binary32)) #s(literal -4/3 binary32)) #s(literal 2 binary32)) r)
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))
(fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal -14/81 binary32) s) #s(literal 5/9 binary32)) #s(literal -4/3 binary32)) #s(literal 2 binary32))
r
(fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s))
(fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal -14/81 binary32) s) #s(literal 5/9 binary32)) (/.f32 #s(literal -4/3 binary32) s))
(fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))
(fma.f32 r (/.f32 #s(literal -14/81 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))
#s(literal -14/81 binary32)
(/.f32 r (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 5/9 binary32) (*.f32 s s))
#s(literal 5/9 binary32)
(/.f32 #s(literal -4/3 binary32) s)
#s(literal -4/3 binary32)
#s(literal 2 binary32)
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 s (*.f32 (PI.f32) r)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 s (*.f32 (PI.f32) r))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))))
#s(literal 1/8 binary32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
r
(neg.f32 s)
s
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 r #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 (PI.f32) r))
(*.f32 s (PI.f32))
(PI.f32)

localize259.0ms (1.9%)

Memory
6.4MiB live, 364.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
accuracy0.3125
(*.f32 s (PI.f32))
accuracy0.33203125
(*.f32 r (*.f32 s (PI.f32)))
accuracy0.33203125
(*.f32 r #s(literal -1/3 binary32))
accuracy0.39453125
(/.f32 #s(literal -4/3 binary32) s)
accuracy0.4017363789949414
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)
accuracy14.919308102292005
(fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))
accuracy28.844555365143453
#s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r))
accuracy0.31869125976844204
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
accuracy0.33203125
(*.f32 r (*.f32 s (PI.f32)))
accuracy0.8559146650769023
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
accuracy29.260889303119228
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
accuracy0.25390625
(*.f32 s (*.f32 (PI.f32) r))
accuracy0.31869125976844204
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
accuracy0.3515625
(*.f32 (PI.f32) r)
accuracy29.203005544506638
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
accuracy0.06737008046286383
(exp.f32 (/.f32 r (neg.f32 s)))
accuracy0.22265625
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy0.3125
(*.f32 s (PI.f32))
accuracy0.574286336791292
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
Samples
181.0ms256×0valid
Compiler

Compiled 489 to 78 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-mult: 43.0ms (30.3% of total)
ival-add: 36.0ms (25.4% of total)
ival-div: 32.0ms (22.5% of total)
const: 17.0ms (12% of total)
ival-exp: 9.0ms (6.3% of total)
ival-neg: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series61.0ms (0.4%)

Memory
25.9MiB live, 62.9MiB allocated
Counts
27 → 588
Calls
Call 1
Inputs
#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))) (patch #s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))) #<representation binary32>) () ())
#s(alt (*.f32 s (*.f32 (PI.f32) r)) (patch (*.f32 s (*.f32 (PI.f32) r)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) r) (patch (*.f32 (PI.f32) r) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))) (patch #s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (patch (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 s (PI.f32))) (patch (*.f32 r (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) (patch (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #<representation binary32>) () ())
#s(alt (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) (patch (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r))) #<representation binary32>) () ())
#s(alt #s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))) (patch #s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (patch (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) #<representation binary32>) () ())
#s(alt (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (patch (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) (patch (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (neg.f32 s))) (patch (exp.f32 (/.f32 r (neg.f32 s))) #<representation binary32>) () ())
#s(alt #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)) (patch #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r) (patch (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -4/3 binary32) s) (patch (/.f32 #s(literal -4/3 binary32) s) #<representation binary32>) () ())
#s(alt (*.f32 r #s(literal -1/3 binary32)) (patch (*.f32 r #s(literal -1/3 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())
Outputs
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor inf s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s) (taylor inf s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s) (taylor inf s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s) (taylor inf s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor -inf s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s)) (taylor -inf s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s)) (taylor -inf s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s)) (taylor -inf s) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 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 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor inf r) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor inf r) (#s(alt (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) (patch (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) #<representation binary32>) () ())) ())
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#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf r) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor inf s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf s) (#s(alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (patch (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) #<representation binary32>) () ())) ())
Calls

147 calls:

TimeVariablePointExpression
12.0ms
s
@0
(* 1/8 (+ (exp (/ r (neg s))) (exp (/ (* r -1/3) s))))
1.0ms
r
@0
(+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s))
1.0ms
s
@0
(* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3))))
1.0ms
r
@-inf
(+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s))
1.0ms
r
@inf
(+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s))

simplify357.0ms (2.5%)

Memory
-20.4MiB live, 374.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 986×lower-fma.f64
11 986×lower-fma.f32
5 494×lower-*.f64
5 494×lower-*.f32
3 902×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05987519
117427286
250457197
082167014
Stop Event
1×iter limit
1×node limit
Counts
588 → 588
Calls
Call 1
Inputs
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/ 1/4 (* s (PI)))
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (+ (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI))))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (pow r 3) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI)))))) s)
(/ 1/4 (* s (PI)))
(* -1 (/ (- (* 1/8 (/ (+ (* 1/3 (/ r (PI))) (/ r (PI))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/3 (/ r (PI))) (/ r (PI)))) (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) s))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 3) (PI))) (* 1/6 (/ (pow r 3) (PI)))) s))) s)) (* -1/8 (+ (* 1/3 (/ r (PI))) (/ r (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/ 1/4 (* s (PI)))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))
(+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 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))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 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))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ -1/6 (* (pow s 2) (PI)))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(/ -1/6 (* (pow s 2) (PI)))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(/ -1/6 (* (pow s 2) (PI)))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
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(/ 5/9 (pow s 2))
(/ (+ 5/9 (* -14/81 (/ r s))) (pow s 2))
(/ (+ 5/9 (* -14/81 (/ r s))) (pow s 2))
(/ (+ 5/9 (* -14/81 (/ r s))) (pow s 2))
(/ 5/9 (pow s 2))
(/ (+ 5/9 (* -14/81 (/ r s))) (pow s 2))
(/ (+ 5/9 (* -14/81 (/ r s))) (pow s 2))
(/ (+ 5/9 (* -14/81 (/ r s))) (pow s 2))
(/ 2 r)
(/ (+ 2 (* -4/3 (/ r s))) r)
(/ (+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s))))) r)
(/ (+ 2 (* r (- (* r (+ (* -14/81 (/ r (pow s 3))) (* 5/9 (/ 1 (pow s 2))))) (* 4/3 (/ 1 s))))) r)
(* -14/81 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 5/9 (/ 1 (* r (pow s 2)))) (* 14/81 (/ 1 (pow s 3)))))
(* (pow r 2) (- (/ 5/9 (* r (pow s 2))) (+ (* 14/81 (/ 1 (pow s 3))) (/ 4/3 (* (pow r 2) s)))))
(* (pow r 2) (- (+ (/ 5/9 (* r (pow s 2))) (* 2 (/ 1 (pow r 3)))) (+ (* 14/81 (/ 1 (pow s 3))) (* 4/3 (/ 1 (* (pow r 2) s))))))
(* -14/81 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 5/9 (/ 1 (* r (pow s 2)))) (* 14/81 (/ 1 (pow s 3)))))
(* (pow r 2) (- (* -1 (/ (- (* 4/3 (/ 1 (* r s))) (* 5/9 (/ 1 (pow s 2)))) r)) (* 14/81 (/ 1 (pow s 3)))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 r)) (* 4/3 (/ 1 s))) r)) (* 5/9 (/ 1 (pow s 2)))) r)) (* 14/81 (/ 1 (pow s 3)))))
(* -14/81 (/ (pow r 2) (pow s 3)))
(/ (+ (* -14/81 (pow r 2)) (* 5/9 (* r s))) (pow s 3))
(/ (+ (* -14/81 (pow r 2)) (* s (+ (* -4/3 s) (* 5/9 r)))) (pow s 3))
(/ (+ (* -14/81 (pow r 2)) (* s (+ (* 5/9 r) (* s (- (* 2 (/ s r)) 4/3))))) (pow s 3))
(/ 2 r)
(- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))
(- (+ (* 5/9 (/ r (pow s 2))) (* 2 (/ 1 r))) (* 4/3 (/ 1 s)))
(- (+ (* -14/81 (/ (pow r 2) (pow s 3))) (+ (* 5/9 (/ r (pow s 2))) (* 2 (/ 1 r)))) (* 4/3 (/ 1 s)))
(/ 2 r)
(- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))
(+ (* -1 (/ (+ 4/3 (* -5/9 (/ r s))) s)) (* 2 (/ 1 r)))
(+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* -14/81 (/ (pow r 2) s)) (* 5/9 r)) s))) s)) (* 2 (/ 1 r)))
(/ -4/3 s)
(/ -4/3 s)
(/ -4/3 s)
(/ -4/3 s)
(/ -4/3 s)
(/ -4/3 s)
(/ -4/3 s)
(/ -4/3 s)
(/ -4/3 s)
(/ -4/3 s)
(/ -4/3 s)
(/ -4/3 s)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
Outputs
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) (/.f32 #s(literal -14/81 binary32) (*.f32 s (*.f32 s s))) (/.f32 (/.f32 (*.f32 r #s(literal 5/9 binary32)) (PI.f32)) (*.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (-.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -5/72 binary32) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 14/81 binary32)) (PI.f32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI)))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -4/3 binary32)) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (+ (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -4/3 binary32) s) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/9 binary32)) (PI.f32)) (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(/ (+ (* 1/8 (/ (+ (* -1 (/ r (PI))) (* -1/3 (/ r (PI)))) s)) (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 3) (PI))) (* -1/162 (/ (pow r 3) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) (pow s 2))) (* 1/4 (/ 1 (PI)))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -4/3 binary32)) s) (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 (*.f32 r (*.f32 r r)) (PI.f32)) (/.f32 #s(literal -14/81 binary32) (*.f32 s (*.f32 s s))) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/9 binary32)) (PI.f32)) (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) s)
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
(* -1 (/ (- (* 1/8 (/ (+ (* 1/3 (/ r (PI))) (/ r (PI))) s)) (* 1/4 (/ 1 (PI)))) s))
(neg.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 r (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/3 (/ r (PI))) (/ r (PI)))) (* 1/8 (/ (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI)))) s))) s)) (* 1/4 (/ 1 (PI)))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 5/9 binary32)) (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ (pow r 2) (PI))) (* 1/2 (/ (pow r 2) (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 3) (PI))) (* 1/6 (/ (pow r 3) (PI)))) s))) s)) (* -1/8 (+ (* 1/3 (/ r (PI))) (/ r (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 14/81 binary32)) (PI.f32)) s) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -5/72 binary32))) (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(fma.f32 r (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
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(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))

rewrite332.0ms (2.4%)

Memory
23.5MiB live, 482.9MiB allocated
Rules
5 372×lower-*.f64
5 348×lower-*.f32
2 908×lower-/.f64
2 888×lower-fma.f64
2 884×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083451
0126439
1524411
25052411
08167409
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 995
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 s (*.f32 (PI.f32) r))
(*.f32 (PI.f32) r)
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 r (*.f32 s (PI.f32)))
(fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(exp.f32 (/.f32 r (neg.f32 s)))
#s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r))
(fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)
(/.f32 #s(literal -4/3 binary32) s)
(*.f32 r #s(literal -1/3 binary32))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
Outputs
(neg.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (neg.f32 (*.f32 s (*.f32 (PI.f32) r)))))
(neg.f32 (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))) (neg.f32 r)))
(neg.f32 (/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1/8 binary32)) (*.f32 s (*.f32 (PI.f32) r))))
(neg.f32 (/.f32 (/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1/8 binary32)) (*.f32 s (PI.f32))) r))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 s (*.f32 (PI.f32) r)) (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(pow.f32 (/.f32 (*.f32 s (*.f32 (PI.f32) r)) (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s (*.f32 (PI.f32) r)) (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (PI.f32)) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 r (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) (*.f32 (*.f32 r #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))) (-.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 2 binary32))) (*.f32 r r)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) (*.f32 (*.f32 r r) r)) (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 27/64 binary32)) (*.f32 #s(literal 216 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 r r) r))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r)))) (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 2 binary32))) (*.f32 r r)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (neg.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -2/3 binary32))) (*.f32 r r)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1 binary32) r) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r))))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (neg.f32 r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r))))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 6 binary32) (*.f32 s (*.f32 (PI.f32) r)))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
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(/.f32 (*.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) #s(literal -1 binary32)) (neg.f32 r))
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(/.f32 (*.f32 (fma.f32 r (*.f32 (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) (*.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)))) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) r)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal -2 binary32)))
(/.f32 (/.f32 (neg.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) #s(literal -1 binary32)) r)
(*.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) r))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r))
(*.f32 (/.f32 #s(literal 1 binary32) r) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) r) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 r)))
(*.f32 (*.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) r))
(*.f32 (pow.f32 (/.f32 r (+.f32 (pow.f32 (*.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s))) #s(literal 3 binary32)) #s(literal 8 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 r (*.f32 (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) (*.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)))) (-.f32 #s(literal 4 binary32) (*.f32 (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) (*.f32 r #s(literal 2 binary32)))))))
(*.f32 (pow.f32 (/.f32 r (fma.f32 r (*.f32 (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) (*.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)))) #s(literal -4 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal -2 binary32))))
(neg.f32 (/.f32 #s(literal 4/3 binary32) s))
(exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal -3/4 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s #s(literal -3/4 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s #s(literal -3/4 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal -4/3 binary32) s)
(/.f32 #s(literal 1 binary32) (*.f32 s #s(literal -3/4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3/4 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal -3/4 binary32))))
(/.f32 #s(literal 4/3 binary32) (neg.f32 s))
(*.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -4/3 binary32) s))
(*.f32 #s(literal 4/3 binary32) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -4/3 binary32))
(*.f32 r #s(literal -1/3 binary32))
(*.f32 #s(literal -1/3 binary32) r)
(neg.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))
(neg.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) (neg.f32 s)))
(neg.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (*.f32 (neg.f32 r) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -3 binary32) (/.f32 r s)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s #s(literal 3 binary32))) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 r #s(literal -1/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (neg.f32 r) #s(literal 1/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) (/.f32 r s)))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32)))))
(/.f32 (*.f32 r #s(literal 1/3 binary32)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) s)
(/.f32 (*.f32 (neg.f32 r) #s(literal 1 binary32)) (*.f32 s #s(literal 3 binary32)))
(/.f32 (neg.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 r #s(literal 1/3 binary32))) s)
(/.f32 (*.f32 (*.f32 r #s(literal -1/3 binary32)) #s(literal 1 binary32)) s)
(/.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) #s(literal -1 binary32)) s)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 (neg.f32 r) (/.f32 #s(literal 1/3 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(*.f32 (*.f32 r #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal -1 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(*.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 r))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 r)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 r #s(literal -1/3 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 r) #s(literal 1/3 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 r #s(literal -1/3 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal -3 binary32) r) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 r #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(*.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1/3 binary32) (/.f32 r (neg.f32 s)))
(*.f32 (pow.f32 (/.f32 s #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 3 binary32) r) #s(literal -1 binary32)))

eval185.0ms (1.3%)

Memory
47.8MiB live, 386.0MiB allocated
Compiler

Compiled 50 658 to 3 280 computations (93.5% saved)

prune495.0ms (3.5%)

Memory
-2.6MiB live, 846.4MiB allocated
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1 770181 788
Fresh171431
Picked325
Done123
Total1 791361 827
Accuracy
99.9%
Counts
1 827 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 (PI.f32) r)) s)
99.7%
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) r))
98.1%
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
✓99.7%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s (*.f32 (PI.f32) r)))
8.7%
(/.f32 #s(approx (* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
10.7%
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
10.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
99.7%
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r))
99.7%
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
8.3%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 3/4 binary32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
8.3%
(*.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
99.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (exp.f32 (log.f32 (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
9.8%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r #s(approx (+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s)) (/.f32 (fma.f32 s (fma.f32 r #s(literal 5/9 binary32) (*.f32 s #s(literal -4/3 binary32))) (*.f32 (*.f32 r r) #s(literal -14/81 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)) r)))
9.8%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s))) 2) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 4/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 5/9 binary32)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -14/81 binary32)) s)) s)) s))) r)))
9.7%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) #s(approx (/ (+ (* r (+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s))) 2) r) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 s (/.f32 #s(literal 2 binary32) r) #s(literal -4/3 binary32)) (*.f32 r #s(literal 5/9 binary32))) (*.f32 (*.f32 r r) #s(literal -14/81 binary32))) (*.f32 s (*.f32 s s))))))
99.7%
(*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
8.3%
(*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
8.7%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
8.7%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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)))
8.7%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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)))
8.7%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
✓8.7%
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
18.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 r r) #s(literal -8/3 binary32))) s)) (neg.f32 s)))))
58.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 (-.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)))) s)) (neg.f32 s)))))
60.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)) (-.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (PI.f32) #s(literal -2/3 binary32))) (*.f32 s s))))))))
19.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
19.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
26.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
12.0%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
62.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) #s(literal 32/81 binary32)) s))) (neg.f32 s))) (neg.f32 s))))))))
✓8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
✓8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
99.7%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 (*.f32 s r) (PI.f32))))
8.6%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (* r -1/3) s)))) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/4 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
Compiler

Compiled 3 731 to 1 143 computations (69.4% saved)

regimes93.0ms (0.7%)

Memory
5.1MiB live, 160.0MiB allocated
Counts
113 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
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#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
(/.f32 #s(approx (* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (* r -1/3) s)))) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/4 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) #s(approx (/ (+ (* r (+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s))) 2) r) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 s (/.f32 #s(literal 2 binary32) r) #s(literal -4/3 binary32)) (*.f32 r #s(literal 5/9 binary32))) (*.f32 (*.f32 r r) #s(literal -14/81 binary32))) (*.f32 s (*.f32 s s))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r #s(approx (+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s)) (/.f32 (fma.f32 s (fma.f32 r #s(literal 5/9 binary32) (*.f32 s #s(literal -4/3 binary32))) (*.f32 (*.f32 r r) #s(literal -14/81 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 binary32)) r)))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 (*.f32 s r) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s (*.f32 (PI.f32) r)))
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) r)))
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) r))
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) r))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (+.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s)))))) r) (/.f32 (*.f32 #s(literal 3/4 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 1/8 binary32) s) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 (PI.f32) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 (PI.f32) r)) s)
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)) (PI.f32)) s)
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)))))
(fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 r s)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (exp.f32 (log.f32 (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (exp.f32 (log.f32 (PI.f32))))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
Outputs
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Calls

3 calls:

30.0ms
s
30.0ms
r
24.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
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)

regimes91.0ms (0.6%)

Memory
-19.4MiB live, 145.0MiB allocated
Counts
108 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
(/.f32 #s(approx (* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (* r -1/3) s)))) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/4 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
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(+.f32 (/.f32 #s(approx (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) #s(literal 32/81 binary32)) s))) (neg.f32 s))) (neg.f32 s))))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 (*.f32 s r) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s (*.f32 (PI.f32) r)))
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) r)))
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) r))
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) r))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (+.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s)))))) r) (/.f32 (*.f32 #s(literal 3/4 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 1/8 binary32) s) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 (PI.f32) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 (PI.f32) r)) s)
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)) (PI.f32)) s)
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (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)))
Calls

3 calls:

30.0ms
r
28.0ms
s
21.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
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)

regimes94.0ms (0.7%)

Memory
2.3MiB live, 154.1MiB allocated
Counts
107 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
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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 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32) (/.f32 (*.f32 s (*.f32 r #s(literal 5/72 binary32))) (PI.f32))) (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 (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (*.f32 (*.f32 r (*.f32 r r)) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))) r))
(+.f32 (/.f32 #s(approx (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) #s(literal 32/81 binary32)) s))) (neg.f32 s))) (neg.f32 s))))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 (*.f32 s r) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s (*.f32 (PI.f32) r)))
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) r)))
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) r))
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)) r))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (+.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s)))))) r) (/.f32 (*.f32 #s(literal 3/4 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 1/8 binary32) s) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 (PI.f32) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 (PI.f32) r)) s)
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)) (PI.f32)) s)
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
Outputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
Calls

3 calls:

33.0ms
s
30.0ms
r
25.0ms
(+.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)

regimes128.0ms (0.9%)

Memory
10.0MiB live, 128.3MiB allocated
Counts
99 → 1
Calls
Call 1
Inputs
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(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
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#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
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(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 (PI.f32) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 (PI.f32) r)) s)
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)) (PI.f32)) s)
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
Outputs
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s (*.f32 (PI.f32) r)))
Calls

3 calls:

66.0ms
s
31.0ms
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)

regimes77.0ms (0.6%)

Memory
16.6MiB live, 134.6MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
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#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (neg.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (neg.f32 s)) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 3/4 binary32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 (*.f32 r r) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32))) (/.f32 r (*.f32 (PI.f32) #s(literal 72/5 binary32)))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.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 s (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32))) (/.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(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) (*.f32 (*.f32 r r) (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal -6 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 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32) (/.f32 (*.f32 s (*.f32 r #s(literal 5/72 binary32))) (PI.f32))) (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 (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (*.f32 (*.f32 r (*.f32 r r)) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))) r))
(+.f32 (/.f32 #s(approx (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) #s(literal 32/81 binary32)) s))) (neg.f32 s))) (neg.f32 s))))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 (*.f32 s r) (PI.f32))))
Outputs
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 (*.f32 s r) (PI.f32))))
Calls

3 calls:

25.0ms
r
25.0ms
s
22.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
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)

regimes121.0ms (0.9%)

Memory
-45.2MiB live, 122.6MiB allocated
Counts
82 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) (*.f32 (*.f32 r r) (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal -6 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 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (fma.f32 #s(literal -28/81 binary32) (/.f32 (PI.f32) (*.f32 s s)) (fma.f32 #s(literal 20/27 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)) #s(literal -2/3 binary32)) s))) (neg.f32 r) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32) (/.f32 (*.f32 s (*.f32 r #s(literal 5/72 binary32))) (PI.f32))) (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 (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (*.f32 (*.f32 r (*.f32 r r)) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))) r))
(+.f32 (/.f32 #s(approx (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) #s(literal 32/81 binary32)) s))) (neg.f32 s))) (neg.f32 s))))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
Outputs
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
Calls

3 calls:

59.0ms
s
34.0ms
r
16.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.6%1s
99.6%1r
99.6%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes95.0ms (0.7%)

Memory
17.7MiB live, 140.5MiB allocated
Counts
81 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
(/.f32 #s(approx (* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (* r -1/3) s)))) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/4 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 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))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32) (/.f32 (*.f32 s (*.f32 r #s(literal 5/72 binary32))) (PI.f32))) (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 (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (*.f32 (*.f32 r (*.f32 r r)) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))) r))
(+.f32 (/.f32 #s(approx (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) #s(literal 32/81 binary32)) s))) (neg.f32 s))) (neg.f32 s))))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)) (-.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (PI.f32) #s(literal -2/3 binary32))) (*.f32 s s))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) #s(literal 32/81 binary32)) s))) (neg.f32 s))) (neg.f32 s))))))))
Calls

3 calls:

49.0ms
s
22.0ms
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
72.7%2s
69.0%2r
62.9%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)

regimes111.0ms (0.8%)

Memory
11.9MiB live, 119.7MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
(/.f32 #s(approx (* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (* r -1/3) s)))) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/4 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (*.f32 (*.f32 r (*.f32 r r)) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 r (PI.f32)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))) r))
(+.f32 (/.f32 #s(approx (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (/ (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (* s s)) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) r) (/.f32 (*.f32 #s(literal 3/4 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.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 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)) (-.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (PI.f32) #s(literal -2/3 binary32))) (*.f32 s s))))))))
Calls

3 calls:

42.0ms
s
41.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
24.0ms
r
Results
AccuracySegmentsBranch
60.6%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
60.6%1r
60.6%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes42.0ms (0.3%)

Memory
-1.7MiB live, 81.9MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
(/.f32 #s(approx (* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (* r -1/3) s)))) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/4 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 r r) #s(literal -8/3 binary32))) s)) (neg.f32 s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) #s(approx (/ (+ (* r (+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s))) 2) r) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 s (/.f32 #s(literal 2 binary32) r) #s(literal -4/3 binary32)) (*.f32 r #s(literal 5/9 binary32))) (*.f32 (*.f32 r r) #s(literal -14/81 binary32))) (*.f32 s (*.f32 s s))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r #s(approx (+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s)) (/.f32 (fma.f32 s (fma.f32 r #s(literal 5/9 binary32) (*.f32 s #s(literal -4/3 binary32))) (*.f32 (*.f32 r r) #s(literal -14/81 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 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 (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (fma.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) s)) r))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (-.f32 #s(literal 4/3 binary32) (/.f32 (fma.f32 r #s(literal 5/9 binary32) (*.f32 #s(literal -14/81 binary32) (/.f32 (*.f32 r r) s))) s)) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 (-.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)))) s)) (neg.f32 s)))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 (-.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)))) s)) (neg.f32 s)))))
Calls

3 calls:

15.0ms
r
15.0ms
s
9.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
58.4%1s
58.4%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
58.4%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes71.0ms (0.5%)

Memory
-4.5MiB live, 67.6MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
(/.f32 #s(approx (* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (* r -1/3) s)))) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/4 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 r r) #s(literal -8/3 binary32))) s)) (neg.f32 s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (PI)))) (/ (* r 5/72) (PI))) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) #s(approx (/ (+ (* r (+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s))) 2) r) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 s (/.f32 #s(literal 2 binary32) r) #s(literal -4/3 binary32)) (*.f32 r #s(literal 5/9 binary32))) (*.f32 (*.f32 r r) #s(literal -14/81 binary32))) (*.f32 s (*.f32 s s))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 r #s(approx (+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s)) (/.f32 (fma.f32 s (fma.f32 r #s(literal 5/9 binary32) (*.f32 s #s(literal -4/3 binary32))) (*.f32 (*.f32 r r) #s(literal -14/81 binary32))) (*.f32 s (*.f32 s s)))) #s(literal 2 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 (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (fma.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) s)) r))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (-.f32 #s(literal 4/3 binary32) (/.f32 (fma.f32 r #s(literal 5/9 binary32) (*.f32 #s(literal -14/81 binary32) (/.f32 (*.f32 r r) s))) s)) s))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
Calls

3 calls:

45.0ms
s
15.0ms
r
9.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
26.0%1s
26.0%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
26.0%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes43.0ms (0.3%)

Memory
-1.2MiB live, 49.7MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
(/.f32 #s(approx (* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (* r -1/3) s)))) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/4 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 r r) #s(literal -8/3 binary32))) s)) (neg.f32 s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* r (+ (* r (+ (* r (/ -7/324 (* (PI) (pow s 4)))) (/ 5/72 (* s (* s (* s (PI))))))) (/ -1/6 (* s (* s (PI)))))) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
Calls

3 calls:

26.0ms
s
9.0ms
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
19.3%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
19.3%1s
19.3%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes50.0ms (0.4%)

Memory
9.0MiB live, 46.5MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
(/.f32 #s(approx (* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (* r -1/3) s)))) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/4 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #s(approx (* (/ 1 r) (+ (exp (/ r (* s -3))) (exp (/ r (neg s))))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
Calls

3 calls:

35.0ms
s
8.0ms
r
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
12.0%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
12.0%1r
12.0%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes41.0ms (0.3%)

Memory
-5.0MiB live, 33.0MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg 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))
(/.f32 #s(approx (* (/ 1/8 (* s (PI))) (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
Calls

3 calls:

29.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
5.0ms
r
5.0ms
s
Results
AccuracySegmentsBranch
8.7%1s
8.7%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)))
8.7%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes13.0ms (0.1%)

Memory
-7.7MiB live, 28.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 (+ (/ (* (/ 1/8 (* s (PI))) (exp (/ r (neg s)))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (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 s (PI.f32))) r))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
Calls

3 calls:

5.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
3.0ms
r
3.0ms
s
Results
AccuracySegmentsBranch
8.7%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)))
8.7%1r
8.7%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes5.0ms (0%)

Memory
15.4MiB live, 15.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

2.0ms
r
2.0ms
s
1.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
8.7%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)))
8.7%1s
8.7%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.1557676455008668e-24
3.457138346489939e-24
Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify157.0ms (1.1%)

Memory
7.2MiB live, 89.6MiB allocated
Algorithm
1×egg-herbie
Rules
908×unsub-neg_binary32
900×distribute-lft-neg-in_binary32
826×neg-mul-1_binary32
514×neg-sub0_binary32
454×*-commutative_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0192997
1273997
2317997
3368996
4433996
5497996
6616996
71014996
81671996
92166996
102630996
113024996
123244996
133372996
143418996
153433996
163653996
173848996
183924996
193926996
203928996
213934996
223934996
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (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 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s (*.f32 (PI.f32) r)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
(if (<=.f32 s #s(literal 2028241/633825300114114700748351602688 binary32)) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)) (-.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (PI.f32) #s(literal -2/3 binary32))) (*.f32 s s)))))))) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) #s(literal 32/81 binary32)) s))) (neg.f32 s))) (neg.f32 s)))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)) (-.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (PI.f32) #s(literal -2/3 binary32))) (*.f32 s s))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 (-.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)))) s)) (neg.f32 s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (fma.f32 r (fma.f32 r (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32)) (*.f32 (PI.f32) #s(literal 8/3 binary32))) (*.f32 s (*.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 r (*.f32 (PI.f32) (fma.f32 r #s(literal 8/3 binary32) (*.f32 s #s(literal 4 binary32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #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 r (*.f32 s (PI.f32)))))
Outputs
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 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 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 (neg.f32 s) #s(literal 3 binary32))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 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 3/4 binary32) (exp.f32 (/.f32 r (*.f32 (neg.f32 s) #s(literal 3 binary32))))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 s (*.f32 (PI.f32) r)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 (PI.f32) (*.f32 s r))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 (*.f32 s (PI.f32)) r)))
(if (<=.f32 s #s(literal 2028241/633825300114114700748351602688 binary32)) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (*.f32 s (fma.f32 (*.f32 r r) (*.f32 (/.f32 (PI.f32) s) #s(literal 8/3 binary32)) (-.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (PI.f32) #s(literal -2/3 binary32))) (*.f32 s s)))))))) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) #s(approx (/ s (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ -1/6 (* s (PI))) (/ 1/4 (* (PI) r))))) (neg.f32 (*.f32 s (fma.f32 r (*.f32 (PI.f32) #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r (*.f32 (PI.f32) #s(literal 8/3 binary32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) r) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (/.f32 (PI.f32) s) #s(literal 2/3 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) #s(literal 32/81 binary32)) s))) (neg.f32 s))) (neg.f32 s)))))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.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 s (*.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (PI.f32)) r)))

soundness1.7s (12.5%)

Memory
-230.9MiB live, 1 265.3MiB allocated
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
10 240×lower-fma.f64
10 240×lower-fma.f32
9 390×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359551788
082261755
05948437
118278114
254668043
082547834
07297835
122567611
269987581
081497389
083451
0126439
1524411
25052411
08167409
02590
04390
114279
2131271
0945671
086504
0143514
1554458
26044448
08060446
092460
0147461
1539408
25723408
08079404
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 834 to 414 computations (50.4% saved)

preprocess124.0ms (0.9%)

Memory
-3.1MiB live, 148.4MiB allocated
Compiler

Compiled 856 to 294 computations (65.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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